[HN Gopher] Saint Michael Sword: Are the cathedrals really on a ...
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       Saint Michael Sword: Are the cathedrals really on a straight line?
        
       Author : gh_hammour
       Score  : 274 points
       Date   : 2024-06-06 09:48 UTC (13 hours ago)
        
 (HTM) web link (geospatial.netlify.app)
 (TXT) w3m dump (geospatial.netlify.app)
        
       | 082349872349872 wrote:
       | Considering the birthday paradox, I get 600! = 126557231622543074
       | 25418678245150829297671403862274660768187828858528140823147351237
       | 81780279561957107476520853259806022480324090378216476943079502557
       | 80542719062833876438260884481246264883326236083761640812211711794
       | 39885840257818732919037889603719186743943363062139593784473922231
       | 85278254761977172388925247687118600017469793454911284566259618230
       | 82803906151846919244462155525865237400849328072590562389621046897
       | 31522587564412231618018774350801526839567367444928206231310973619
       | 44035472371801286775301955613572137620795955886055993305285691415
       | 71206229800571698919125959265404275968534412769850067248695582019
       | 30657900240943007657817473684008944448183219124163017666607770667
       | 58508216959823923027403551773864806560049270209573284349270885603
       | 69202198833631115279881092773926965627768134466456512384193015861
       | 57342867860646666350050113314787911320639668510871569846664873595
       | 01751899567095847780641166750534646259047113686264734966624342624
       | 26771752047323142810644179390418686537411874230649851895567426401
       | 11598580035644021835576715752869397465453828584471291269955890393
       | 29444831574650026870214970880805310040639848094269562358604940334
       | 80849700646689002062515169684797275155764259623921362691690898846
       | 09794271331061018895634421094082310408889752954265842691732460538
       | 91178496000000000000000000000000000000000000000000000000000000000
       | 00000000000000000000000000000000000000000000000000000000000000000
       | 00000000000000000000000000L so I'd expect for there to be more
       | than a few seemingly unlikely coincidences among them.
        
         | defrost wrote:
         | Placement is an interesting problem, _assuming_ a plan to lay
         | them out in a  "line", either Geodesic (tricky) or on a common
         | projection of the period prior to construction there remains a
         | few questions:
         | 
         | Given a preferred predetermined position, navigating to the
         | desired latitude would have been easy enough for the time,
         | getting to a spot with the correct longitude is a tricky feat
         | prior to accurate clocks.
         | 
         | Having found such a location there's no apriori guarantee that
         | site is ideal for a large stone building which would lead to
         | some fudging about to find a near althernative site along a
         | corridor.
         | 
         | There's some work to be done upon the _order_ in which these
         | buildings went up and on the locations themselves; for example:
         | 
         | https://en.wikipedia.org/wiki/St_Michael's_Mount
         | 
         | dates as a monastic site back to the 8th Century or so and has
         | very little (almost none) play in position .. it's situated on
         | a rocky outcrop in a strong tidal zone.
         | 
         | All of which leaves questions such as _when_ a decision might
         | first have been made to infill later buildings to match a line
         | through which earlier buildings on which projection.
        
       | voidUpdate wrote:
       | > Did the builders knew the earth was round?
       | 
       | Yes. This has been known since ancient greek times, and Aristotle
       | calculated the size reasonably well. Maybe not every labourer
       | knew or cared but the architects almost certainly did
        
         | smeej wrote:
         | Exactly. I think I'm more annoyed at this point with the myth
         | of the ignorant Medievals than I am with the myth of the flat
         | earth itself.
         | 
         | Even knowing the earth is round, if I were going to put things
         | in a "straight line" geographically, I'd do it with the
         | reference most people would actually use and see: a 2D map.
        
           | searedsteak wrote:
           | I'd say the bigger question is whether or not the projection
           | used at the time of design was one that would show the
           | straight line. The Mercator projection was first invented in
           | 1569 [1]
           | 
           | [1]: https://en.wikipedia.org/wiki/Mercator_projection
        
             | regularfry wrote:
             | This has to be the core of it. If the underlying question
             | is "was this alignment intentional" then you could start by
             | asking whether there are extant maps with better cathedral
             | alignment than Mercator.
             | 
             | These places are _old_. Skellig Michael goes back past
             | 823AD, Mont-Saint-Michel is about the same sort of age, and
             | the Sanctuary of Monte Sant 'Angelo goes back to
             | 490AD(ish). San Michele Arcangelo is on top of a pre-
             | Christian pagan temple. Stella Maris is on an Old Testament
             | Biblical site. None of them is less than a thousand years
             | old.
             | 
             | The bar for finding a map that happens to align, and then
             | explaining how it was made, is not a low one.
             | 
             | There is a projection that might fit, though: Plate Carree
             | is definitely old enough, and a brief visual sanity check
             | doesn't make it look totally off.
        
               | smeej wrote:
               | Why do we need to assume widespread maps for this? Or
               | even maps of the entire globe? A regional map showing
               | barely more than a rectangle with this as its diagonal
               | would be sufficient to get the point across to the
               | average layperson.
               | 
               | Virtually everything in church design is meant to
               | communicate truths of the faith to illiterate laypeople.
               | That's part of why pictures feature so prominently.
               | They're telling stories to people who can't read. The
               | sense of space, and the drawing of the attention upward,
               | they're also communicating to people on purpose.
               | 
               | If the argument is that the sites were _not_
               | intentionally built in a line, that it just happened this
               | way, that there just happen to be seven prominent hills
               | with churches built on them that refer to St. Michael (or
               | 6 and Mt. Carmel, which is associated with him in another
               | way), I guess that 's a different conversation, but I
               | thought the idea here was that these were lined up
               | somehow on purpose, at least for the latter built ones,
               | and were intentionally built to be "in a line" by some
               | meaning of the term.
        
               | regularfry wrote:
               | The line is long enough for the curvature of the earth,
               | and the subsequent distortion in the map projection, to
               | be relevant. Notice that they're closer to a straight
               | line on Mercator than to the geodesic: that means if you
               | were to use purely local referencing to align the sites,
               | they wouldn't end up where they are. You _only_ get them
               | to line up when you distort the natural geography with a
               | projection of some sort, so if you want to make an
               | argument that they were intentionally built on a line,
               | you also have to account for the systematic deviation
               | from the geodesic. And that prompts the question of
               | whether that 's remotely feasible given what we know of
               | the history of cartography.
               | 
               | What I'd want to know is how old the story of St
               | Michael's Sword actually is. Not the churches, but what's
               | the earliest reference to them being in a line. My bet is
               | that it's well after Mercator, and probably safely after
               | the 18th century, when chunks of Europe got geodetic
               | surveys done.
        
           | Archelaos wrote:
           | > most people would actually use and see: a 2D map
           | 
           | The expert used spherical mathematics. This was quite
           | widespread knowledge required to build proper sun dials and
           | in the Late Medieval period for long distance navigation.
           | Some were able to use analog computers, called "armillary
           | spheres", for the calculations, which were known since
           | Antiquity.[1]
           | 
           | [1] See https://en.wikipedia.org/wiki/Armillary_sphere
        
             | smeej wrote:
             | Most people aren't experts. If I'm setting up a bunch of
             | churches in a line to make a point, I'm doing it to make a
             | point to the vast swath of common people in them, not the
             | handful of experts.
        
               | Archelaos wrote:
               | Only the experts of that time could have found out that
               | this churches are all lined up according to the Meracator
               | projection, if they had any idea of that projection at
               | all. It seems rather as if your top-secret St. Michael's
               | conspiracy, which, without leaving any written traces,
               | when carrying out its secrete plan over several centuries
               | using advanced cartographic and geodetic knowledge to
               | determine longitudes, was aimed at the mystery-
               | susceptible people of our times.
        
               | crabmusket wrote:
               | That's not necessarily true. I recently read Barnabas
               | Calder's _Architecture: From Prehistory to Climate
               | Emergency_ which contains several mentions of the
               | incredible detail architects put into their work- from
               | ancient Greece through mediaeval cathedrals. Details and
               | design which would not have been noticed by any eye but
               | an expert 's.
               | 
               | I'll try to look up an exact quote later. But the gist of
               | several passages was that there _was_ an elite or expert
               | community- obviously, or nobody would have been designing
               | buildings like this!
               | 
               | Let's assume for the sake of this discussion that the 7
               | sites _are_ deliberately aligned by somebody. They would
               | presumably be a powerful elite, and would be doing it to
               | impress other powerful elites.
        
               | Archelaos wrote:
               | You may perhaps be interested in these two documentaries
               | about the geometric principles that were fundamental to
               | medieval town planning:
               | 
               | "Die Entdeckung der mittelalterlichen Stadtplanung"
               | (2004): https://www.youtube.com/watch?v=-ZzEzhIGnwM
               | 
               | "Mittelalterliche Baukunst - Schonheit ist planbar"
               | (2009) https://www.youtube.com/watch?v=MQcKOkbagDc
               | 
               | Both documentaries are in German, but are well worth
               | watching, even if the automatic English subtitles are
               | sometimes a little inaccurate.
        
               | buildsjets wrote:
               | You have made the assumption that the line-up was done
               | for the sake of human people, whether common or expert.
               | When choosing the site to build a religious facility,
               | would not the sake of the deity(s) being worshiped be a
               | primary consideration?
        
               | smeej wrote:
               | Honestly? No, not usually, or at least not when the deity
               | has made it clear that He can be worshiped anywhere.
               | 
               | Locations are chosen for the sake of the people who are
               | expected to come to them.
        
         | Almondsetat wrote:
         | It seems strange to include such a question at the end of the
         | article that can be answered with a 5 second non-AI search
        
         | gruturo wrote:
         | > Aristotle calculated the size reasonably well
         | 
         | Eratosthenes.
         | 
         | https://en.wikipedia.org/wiki/Earth%27s_circumference#Eratos...
         | https://en.wikipedia.org/wiki/Eratosthenes#Measurement_of_Ea...
        
           | voidUpdate wrote:
           | Sure, Eratosthenes got it more accurately than Aristotle did,
           | but Aristotle was only 5000 miles out, came before
           | Eratosthenes (died about 50 years before Eratosthenes was
           | born) and on the scale of a planet, with the technology he
           | had available, I'd say thats reasonably good
        
         | dhosek wrote:
         | One of the incorrect things about Columbus that I was taught in
         | second grade was that he had trouble getting support for his
         | voyage because his would-not-be patrons thought the earth was
         | flat. In fact, they refused to fund him because he thought the
         | earth was much smaller than it was and they had the correct
         | size of the earth.
        
           | deepsun wrote:
           | I wonder how many would-be Columbuses were before him and
           | failed.
        
           | buescher wrote:
           | It's historically rooted in Protestant anti-Catholicism, and
           | the most popular version in America of it comes from
           | Washington Irving.
        
         | jameshart wrote:
         | Knowing the earth is round doesn't mean you automatically
         | consider a geodesic the most logical kind of 'straight line'.
         | 
         | Mercator exists because it's easy to navigate with. It's easy
         | to navigate with because it preserves bearings. Lines of
         | constant bearing are, when you're navigating on the ground,
         | much more meaningfully 'straight' than geodesics.
         | 
         | 'Keep heading North West' sounds like a pretty straight line.
        
       | mensetmanusman wrote:
       | These took nearly 4K years to build in total. Beautiful to see
       | how much thought went into the placement.
        
       | maratc wrote:
       | Seems reasonable to try to fit a line such that the sum of
       | distances (or square distances) between the cathedrals and the
       | line is minimal. Doesn't have to be a straight line.
        
       | willis936 wrote:
       | Cathedrals are the highest tier of vanity projects of one of the
       | most powerful institutions in written history. It's little
       | surprise that the makers knew the top three most import factors
       | for real estate value: location, location, location.
       | 
       | Are they pointing to anything though?
        
         | masswerk wrote:
         | Cathedrals were erected by the townships and were indeed a
         | major economic investment. They generally payed off well,
         | giving raise to tourism (then known as pilgrimage) and
         | elevating the status of the city, both with considerable
         | effects on commerce. If you were a major town or city, or
         | aspired to become one, you definitively wanted to build a
         | cathedral. (And, as already pointed out by several other
         | comments, none of these locations were cathedrals.)
        
           | SideburnsOfDoom wrote:
           | > and elevating the status of the city
           | 
           | Indeed, having a cathedral is a thing that can define a
           | settlement as "a city".
           | 
           | Source: https://commonslibrary.parliament.uk/what-makes-a-
           | city/
        
         | ttepasse wrote:
         | At its core a cathedral is just a church where the cathedra
         | (the "throne" of a bishop) stands. Can be any size, take a look
         | at Nin, Croatia:
         | 
         | https://en.wikipedia.org/wiki/Church_of_the_Holy_Cross,_Nin
        
         | mensetmanusman wrote:
         | Harvard has more wealth than the Vatican.
        
           | willis936 wrote:
           | Did they 1000 years ago?
        
             | ImJamal wrote:
             | Harvard didn't exist 1000 years ago so obviously not. You
             | could also argue that the Vatican has only existed since
             | 1929. Prior to 1929 the Vatican wasn't independent and
             | prior to that it was part of the Papal States (aka its own
             | country)
        
       | tokai wrote:
       | > Certainly 7 cathedrals are too many to be a coincidence
       | 
       | With the number of cathedrals in Europe I don't really think this
       | is supported.
        
         | chippy wrote:
         | They are all dedicated to the same saint, St. Michael.
        
           | Broken_Hippo wrote:
           | Which isn't really all that special. In England alone, there
           | are 816 churches named after St Michael. He's pretty popular.
           | It'd be a lot more spectacular if they were all named after
           | someone much more obscure.
           | 
           | https://en.wikipedia.org/wiki/Dedications_in_the_Church_of_E.
           | ..
        
             | willis936 wrote:
             | Only ~30 are cathedrals, still more than a selection of 7.
             | 
             | https://en.wikipedia.org/wiki/Cathedral_of_Saint_Michael
        
               | SamBam wrote:
               | Right, but none of the 7 are cathedrals.
        
             | chippy wrote:
             | That's right. I would actually expect there to be a few
             | more than 7!
             | 
             | And if we extend the search to all placenames dedicated to
             | St Michael quite a bit more!
             | 
             | It's not pure coincidence but it is a kind of observation
             | error as highlighted in other comment. Increasing and
             | decreasing the variables and measurements effects the odds.
             | 
             | Basically you can get a line between many things on earth,
             | but 1) the dimensions of that line cannot be chosen if you
             | also want to choose the things that define it or 2) the
             | dimensions can be chosen but the things that make it up
             | cannot.
        
               | nashashmi wrote:
               | In that case he should plot which of them match the
               | geodesic line curve
        
               | 6510 wrote:
               | If one finds all of those lines one might find something.
               | 
               | Also compare star maps.
        
         | mytailorisrich wrote:
         | There are not all cathedrals, actually. They are seven sacred
         | sites dedicated to St Michael (of which there are many all over
         | Europe).
         | 
         | If they really were cathedrals, a coincidence would have been
         | extraordinary.
        
           | masswerk wrote:
           | If they were cathedrals, this may raise the question why
           | those towns were perfectly aligned, in the first place.
           | 
           | Traditionally, it had been mostly exposed locations that were
           | dedicated to St Michael, e.g., locations that had been
           | alleged entrances to the underworld in antiquity. 6 out 7 of
           | these locations are in costal areas, with corresponding
           | erosion features. So this shouldn't be of much surprise, as
           | the line crosses several costal regions - of which there are
           | plenty.
           | 
           | (In other words, the line crosses 6 costal areas with a St
           | Micheal nearby and 6 without. The second fact may be as
           | remarkable as the first one.)
           | 
           | Edit: Challenge, can we identify a "St Michael's Serpent",
           | approximating a sine wave?
        
         | HankB99 wrote:
         | Agreed. I wonder if they could find better candidates.
        
         | getoj wrote:
         | For what it's worth (not much), the line can be extended with
         | similar error bars to include:
         | 
         | - St Michael's Church in Bengaluru, India
         | 
         | - Gereja Katolik Santo Mikael in Surabaya, Indonesia
         | 
         | - St Michael's Catholic Church in Kilcoy, Australia
         | 
         | - St Michael's Church in Auckland, New Zealand
         | 
         | Perhaps the real data challenge here is to find the straight
         | line with the most St Michael'ses globally.
        
       | randomtoast wrote:
       | One might begin to calculate the odds of seven cathedrals
       | aligning perfectly in a straight line purely as a result of
       | chance.
        
         | ot1138 wrote:
         | Please do so! This would be a fascinating experiment and
         | perhaps a famous one, given that similar answers are the knee
         | jerk reaction of armchair skeptics the world over.
        
           | randomtoast wrote:
           | I asked GPT-4. It did the following calculation (summarized):
           | 
           | Let's consider Europe as roughly a 10 million square km area.
           | The probability of a single point falling within a 50 km wide
           | band (assuming the band runs the full length of Europe) is
           | about 0.01581 (1.581%). The probability of seven points
           | aligning within a 50 km wide band across Europe is
           | approximately: 10^-14
        
             | robertlagrant wrote:
             | Doesn't the first point have a probability of 1? It's the
             | subsequent ones that become less and less likely.
        
               | randomtoast wrote:
               | Maybe my question was not right then. But my question was
               | how likely is it that 7 randomly chosen points fall
               | within a given 50 km band across europe. Because I want
               | to test the hypotheses that the 7 cathedrals fall
               | randomly in line that we see. And that one random point
               | falls in that band is not 1.
        
               | regularfry wrote:
               | It's pretty easy to Monte Carlo, even if you can't get
               | there analytically.
        
               | robertlagrant wrote:
               | Yes, but I suppose even if you have 7 that line up, they
               | may not fall in _your_ band.
               | 
               | To remove that constraint, so it's just _any_ band, I
               | think it should be more like: given a cathedral is in a
               | particular place, how likely is it that six other
               | cathedrals fall in a 50km wide band aross Europe.
        
               | randomtoast wrote:
               | Okay, GPT4 said there a just 189 non-overlapping 50km
               | bands (horizontal, vertical, and diagnoal) in Europe and
               | then continued to calculate the chance to land those 7
               | points in any of the 189 bands and gave a result in the
               | order of 10^-12.
        
               | robertlagrant wrote:
               | But diagonal at what angle? :)
               | 
               | I think if you set the probability of the first one at 1,
               | then the rest works perfectly at any angle of band. I
               | could be wrong, but intuitively that seems correct.
        
               | jimktrains2 wrote:
               | You could have two points in 2 of your non overlapping
               | bands that are less than a band's width apart.
               | 
               | Also, the probability of the first 2 points will always
               | be 100% because they define the line.
               | 
               | Also, it's not 7 random points, it's 7 of thousands of
               | random points.
        
               | randomtoast wrote:
               | Alright, I suppose it's not as simple to formulate the
               | question accurately and correctly.
        
               | 082349872349872 wrote:
               | search box tells me 600 choose 7 is 5e15, which implies
               | (if google and GPT4 were correct) that there ought to be
               | on the order of thousands of fat lines containing 7
               | actual cathedrals
        
             | hatthew wrote:
             | This is an impressively irrelevant calculation, regardless
             | of whether or not GPT did the arithmetic correctly. If you
             | want to calculate something similar but actually useful,
             | you could get a list of all "cathedrals" dedicated to st
             | michael, find the line for each combination of 2
             | cathedrals, and then calculate the probability that 5 more
             | also fall on that line.
             | 
             | But it turns out that we don't even have to go that far.
             | The line found in TFA is about ~50km wide. Any given 50km
             | wide line covers approximately 1% of europe's area. There
             | are allegedly 800+ locations dedicated to st michael in the
             | UK, so let's make a conservative estimate and say there are
             | ~1000 in all of europe. This means that in any given 1% of
             | europe's area, there are on average 10. Therefore literally
             | _any_ 50km wide line that crosses a substantial portion of
             | europe has a solid chance at having 7 or more st michael
             | dedications in it.
             | 
             | Edit: actually via a generalization of the pigeonhole
             | principle, if we assume that europe is 3000km tall and
             | contains 1000 sites dedicated to st michael, there must
             | exist at least one 50km band that contains at least 17
             | sites.
        
         | 082349872349872 wrote:
         | One might indeed begin; see
         | https://news.ycombinator.com/item?id=40595595
         | 
         | (600 was for rough number of cathedrals, but apparently these 7
         | sites are not even all cathedrals? That would make that
         | factorial much bigger, then...)
        
         | mensetmanusman wrote:
         | This would be an extremely difficult calculation to build
         | consensus around, because so many assumptions would go into
         | where exactly one could even consider building such sites.
         | 
         | They would have to be near enough to water to maintain life, or
         | have access to freshwater for the religious communities there,
         | they would have to be near building materials, they would have
         | to be near population centers, etc.
        
       | logtempo wrote:
       | Are they aligned because they are famous, or are they famous
       | because they are aligned? Or are they aligned because if I pick 7
       | famous monuments aligned I can draw a line, look over my shoulder
       | and say "ho look, if we draw a line it match!"
       | 
       | From wikipedia, the list of St Michael churches:
       | St. Michael's Church (disambiguation)         Parroquia de San
       | Miguel Arcangel (es), San Miguel de Allende, Guanajuato Mexico
       | World Heritage Site         Sacra di San Michele (Saint Michael's
       | Abbey), near Turin, Italy         Pfarrei Brixen St. Michael with
       | the White Tower, Brixen, Italy         Cathedral of St. Michael
       | and St. Gudula, in Brussels, Belgium         Mont Saint-Michel,
       | Normandy, France - a World Heritage Site         St. Michael's
       | Cathedral Basilica (Toronto), Canada         St. Michael's
       | Cathedral (Izhevsk), Russia         St. Michael's Cathedral,
       | Qingdao, China         Chudov Monastery in the Moscow Kremlin
       | Cathedral of the Archangel in the Moscow Kremlin - a World
       | Heritage Site         Sanctuary of Monte Sant'Angelo, Gargano,
       | Italy - a World Heritage Site         St Michael's Mount,
       | Cornwall, UK         St. Michael, Minnesota         St. Michael's
       | Basilica, Miramichi, Canada         Skellig Michael, off the
       | Irish west coast - a World Heritage Site         St Michael's
       | Cathedral, Coventry, UK         St. Michael's Golden-Domed
       | Monastery, Kyiv, Ukraine         St. Michael's Church, Vienna in
       | Vienna, Austria         Tayabas Basilica, Tayabas, Quezon,
       | Philippines         St. Michael's Church, Berlin, Germany
       | San Miguel Church (Manila), Philippines         St. Michael's
       | Jesuit church, Munich, Germany         St. Michael's Cathedral,
       | Belgrade in Belgrade, Serbia         Cathedral of St. Michael the
       | Archangel in Gamu, Isabela, Philippines         Mission San
       | Miguel Arcangel, San Miguel, California, United States, one of
       | the California Missions         St Michael at the North Gate,
       | Oxford, UK         St. Michael's Roman Catholic church, Cluj-
       | Napoca, Romania         St. Michael's Church, Mumbai, India
       | Church of St. Michael, Stip, Republic of North Macedonia
       | St Michael and All Angels Church, Polwatte         St Michael's
       | Church, Churchill, UK         San Miguel Arcangel Church,
       | Marilao, Bulacan, Philippines         San Miguel Arcangel Church,
       | San Miguel, Bulacan, Philippines         St Michael the
       | Archangel, Llanyblodwel, England
        
         | Maken wrote:
         | But only 7 of those are Cathedrals, and only those are aligned.
        
           | tecleandor wrote:
           | I think none of them are cathedrals. There's a couple
           | islands, a mount, a shrine, a monastery, a temple...
        
             | throw46365 wrote:
             | The fact that St Michael's Mount is on this line is enough
             | to show that it is nonsense. It's an unbelievably lovely
             | place and it was a site for pilgrims, but its
             | ecclesiastical connection to St Michael is relatively
             | weedy; a brief period of time.
             | 
             | It's far more interesting to me that Perkin Warbeck
             | occupied it!
        
             | rob74 wrote:
             | Yup... actually the linked Wikipedia page doesn't use the
             | word "cathedrals", but they are remarkable in other ways
             | (long history, pilgrimage sites etc.). Ok, Skellig Michael
             | is now remembered mainly for being Luke Skywalker's island
             | in Star Wars VII/VIII, but still...
        
               | jfengel wrote:
               | It annoyed me as soon as it appeared at the tail end of
               | TLJ. I've wanted to visit it for a long time, but it's a
               | bit of a hassle to get to. I can only imagine that it's
               | even harder now that it's a pilgrimage site for Star Wars
               | fans, and not just rock-botherers like myself.
        
           | nabla9 wrote:
           | >.. are aligned.
           | 
           | Only on Mercator projection that is younger than many of the
           | sites on the line.
           | 
           | Oder of things:
           | 
           | 1. There were bunch of monasteries (not cathedrals), not
           | aligned on any direct line.
           | 
           | 2. Mercator invented a projection.
           | 
           | 3. Someone looked at map using Mercator a projection and
           | invented story about ley lines.
        
             | Maken wrote:
             | You are right, not all the temples in the "line" are
             | cathedrals, which does make the entire story less credible.
        
               | jfengel wrote:
               | "Cathedral" is a very specific kind of church, but not
               | necessarily all that significant. It's where they
               | happened to have centered a local bishopric. (A
               | _cathedra_ is a chair, specifically one that a bishop
               | sits in.)
               | 
               | So there are a lot of magnificent churches that aren't
               | cathedrals (Sagrada Familia, Westminster Abbey, St.
               | Peter's in the Vatican), and a lot of cathedrals that are
               | actually rather dull architecturally.
        
               | Maken wrote:
               | Precisely cathedrals are rare enough that seven of them
               | in a line dedicated to the same archangel could no be a
               | coincidence. I bet you can make similar lines if you look
               | for churchess and sanctuaries dedicated to another
               | important saint or saintess.
        
             | weberer wrote:
             | I think too much weight in this discussion is given to the
             | Mercator projection since that's the specific one we use
             | today. People were making 2D maps for much longer than
             | that. Flat maps existed in the medieval era.
        
               | nabla9 wrote:
               | All maps on paper are flat. There are multiple
               | projections into 2d map.
               | 
               | There is no reason to assume that the lines align in
               | other projections.
        
             | unholiness wrote:
             | > Only on Mercator projection that is younger than many of
             | the sites on the line.
             | 
             | People have been specifying locations in terms of NS/EW
             | coordinates since the greeks. Celestial navigation ensures
             | we always have a clear idea where north is, and when two
             | locations are at the same latitude. It's the most natural
             | way we've understood and discussed far-away places.
             | 
             | I don't think it's fair to say mercator invented this
             | projection so much as he famously published maps which used
             | it.
             | 
             | (btw, I agree this line is a complete retrospective
             | coincidence, just not with this particular argument)
        
               | nabla9 wrote:
               | Just like weberer you seem to think that there is only
               | one projection of earth into 2d map.
               | 
               | Mercator is special projection that was not used before
               | him. Different projections give different distortions.
        
             | jameshart wrote:
             | The Mercator projection has the property that lines on it
             | are of constant bearing. You don't need a map projection to
             | follow a line of constant bearing - you just need to head
             | towards the point where the same star rises every night
             | (mostly. Over a short enough number of nights, it works,
             | anyway).
        
         | simonh wrote:
         | There are apparently 816 churches dedicated to the saint in
         | England alone.
         | 
         | https://en.wikipedia.org/wiki/Dedications_in_the_Church_of_E...
        
         | Archelaos wrote:
         | This Wikipedia list has a lot more St. Michael's churches:
         | 
         | https://en.wikipedia.org/wiki/St._Michael%27s_Church
         | 
         | Around 150 in Europe alone.
         | 
         | For the next hackaton: Write a programme to find all possible
         | approximately straight lines between any 7 of these churches.
        
           | acjohnson55 wrote:
           | Also, allow the map projection to vary, to produce lines of
           | different curvatures.
        
           | mikhailfranco wrote:
           | There really are many more. I know of 3 in a small area of
           | Somerset not on the list, but 2 of them are ruined, and hence
           | not currently dedicated:
           | 
           | https://en.wikipedia.org/wiki/Church_of_St_Michael_and_All_A.
           | ..
           | 
           | https://en.wikipedia.org/wiki/Burrow_Mump
           | 
           | https://en.wikipedia.org/wiki/Glastonbury_Tor
           | 
           | Churches were often dedicated to St. Michael when they were
           | built over pagan sanctuaries, because St. Michael could fight
           | the old heathen devil. Another example would be in Brent
           | Knoll, next to the iron age hill fort:
           | 
           | https://en.wikipedia.org/wiki/St_Michael%27s_Church,_Brent_K.
           | ..
           | 
           | https://en.wikipedia.org/wiki/Brent_Knoll_Camp
           | 
           | That is undoubtedly the case for both St. Michael's Mount
           | (Cornwall) and Mont Saint Michel (Normandy) in the list of 7.
           | They are both perfect defensive sites, on islands close to
           | the shore, but accessible by causeways at low tide, and hence
           | certainly occupied from prehistoric times.
           | 
           | https://en.wikipedia.org/wiki/St_Michael%27s_Mount
           | 
           | https://en.wikipedia.org/wiki/Mont-Saint-Michel
        
             | mikhailfranco wrote:
             | P.S. I added these to Wikipedia, but note there is a whole
             | separate page for Michael with All his Angels:
             | 
             | https://en.wikipedia.org/wiki/St_Michael_and_All_Angels_Chu
             | r...
        
         | AdmiralAsshat wrote:
         | See: ley lines
         | 
         | https://en.wikipedia.org/wiki/Ley_line?wprov=sfla1
        
           | mikehotel wrote:
           | Also: Alignments of random points
           | https://en.m.wikipedia.org/wiki/Alignments_of_random_points
        
         | abrenuntio wrote:
         | Definitely not ordinary places. Perhaps Stella Maris, the end
         | point, is the most fascinating of all because of its
         | association with the prophet Elijah.
        
         | aworks wrote:
         | I don't particularly care if if these line up, but I find the
         | list interesting:
         | 
         | Multiple churches in the Philippines presumably due to Spanish
         | Catholicism.
         | 
         | I didn't grow up in California so I don't know the Spanish
         | missions very well (standard elementary school fare). I had
         | never heard of San Miguel.
         | 
         | I've also never heard of Polwatte or Miramichi.
         | 
         | Two churches in the "Moscow Kremlin?" What's that about? And
         | what's the story about Qingdao?
         | 
         | And why just the name of a state, Minnesota, instead of a more
         | precise location?
         | 
         | Then I go to
         | https://en.wikipedia.org/wiki/St._Michael%27s_Church and it
         | disambiguates from https://en.wikipedia.org/wiki/St_Michael_and
         | _All_Angels_Chur.... Finally, yet another long list in
         | https://en.wikipedia.org/wiki/Cathedral_of_Saint_Michael
        
       | arethuza wrote:
       | When I was a kid (11/12 or so) I was fascinated by finding
       | alignments between ancient things in the landscape (of which
       | there are many here in Scotland!) - eventually I came to the
       | realisation that given the scale of the maps I was looking at
       | (1:25,000) that you can find loads of meaningless alignments if
       | you look hard enough...
        
         | Oarch wrote:
         | The Great Glen Fault is beautifully straight line across
         | Scotland. Once seen it can't really be unseen.
        
           | arethuza wrote:
           | My own favourite is the Highland Boundary Fault - the
           | northern edge of the rift valley that is central Scotland:
           | 
           | https://simple.wikipedia.org/wiki/Highland_Boundary_Fault
        
           | Shrezzing wrote:
           | I'm not sure if this is concrete fact, or just a theory, but
           | you can continue the line up Norway's western coast too. Then
           | in the other direction, the line was broken, but restarts &
           | progresses from Nova Scotia down through the Appalachians in
           | North America.
        
             | kitd wrote:
             | IIRC they were all part of the same Pangaian range, and
             | include Greenland east coast and the Atlas mountains.
        
           | jfengel wrote:
           | I'm gonna be driving along most of Loch Ness early this
           | autumn. Anything in particular I should look out for with
           | respect to the Great Glen Fault? Any less-obvious geologic
           | features?
        
             | arethuza wrote:
             | Not related to the Great Glen Fault but the Parallel Roads
             | in Glen Roy are fairly close and worth a look:
             | 
             | https://en.wikipedia.org/wiki/Glen_Roy#The_Parallel_Roads_o
             | f...
             | 
             | Edit: Also have a look at the Lochaber Geopark:
             | 
             | https://lochabergeopark.org.uk/
        
               | jfengel wrote:
               | Thanks! I'll keep an eye out.
        
         | spiderfarmer wrote:
         | It's a type of apophenia.
        
           | LudwigNagasena wrote:
           | More like the garden of forking paths, the look-elsewhere
           | effect and data dredging.
        
             | Blahah wrote:
             | As opposed to the forking of garden paths, the whereelse-
             | look effect, and dreading dating
        
         | gravescale wrote:
         | The Ancient Aliens discovered the same laws of engineering:
         | 
         | 5. (Miller's Law) Three points determine a curve.
         | 
         | 6. (Mar's Law) Everything is linear if plotted log-log with a
         | fat magic marker.
         | 
         | https://spacecraft.ssl.umd.edu/akins_laws.html
        
           | arethuza wrote:
           | Speaking of Ancient Aliens - I did have also read a book by
           | Erich von Daniken when I was younger (9 or so) although I had
           | realised that was nonsense by my stage of hunting maps for
           | alignments it probably influenced me to think about it.
        
             | grahamlee wrote:
             | I used to read his books as exercises in critical analysis
             | --how does he get from the data to these conclusions, and
             | what does he ignore that doesn't fit his conclusions? Then
             | I discovered that, as stated by Carl Sagan, von Daniken
             | also relies on factual errors in his arguments.
        
           | theginger wrote:
           | Assume pi is 1
        
           | tutuca wrote:
           | I yell Akin's laws to any new coworker like a drill sargent.
        
         | wolframhempel wrote:
         | I studied art history, and this always bothered me when
         | learning about Christian symbolism. When reading about numbers
         | related to cathedrals, such as the number of statues on a ledge
         | or the number of archivolts (the bands around doors), so much
         | emphasis was put on the meaning of these particular numbers by
         | whoever authored the piece. Three related to the Holy Trinity,
         | four represented the four Gospels, five alluded to the number
         | of wounds Christ received, seven related to the days of
         | creation, sins, or virtues - and don't even get me started on
         | twelve.
         | 
         | In fact, as an architect of a cathedral, you pretty much had to
         | make 22 or more of anything to avoid having a meaning ascribed.
        
           | dfxm12 wrote:
           | One Christmas homily, the priest told a story about how the
           | candy cane was invented by persecuted Christians as a symbol
           | for each other. The cane looked like a shepherd's staff, red
           | for Jesus' blood, etc. If you look into the actual history of
           | the candy cane though, none of this is true.
           | 
           | What I'm saying is that it didn't matter what the architect
           | did. Someone, well after the fact, would have found a tenuous
           | connection between their work and the Bible and claimed they
           | were divinely inspired.
        
             | mensetmanusman wrote:
             | Not the candy cane, but the fish: https://en.m.wikipedia.or
             | g/wiki/Variations_of_the_ichthys_sy....
        
               | 082349872349872 wrote:
               | Might the fish have anything to do with precession of the
               | equinoxes into Pisces?
               | https://news.ycombinator.com/item?id=38761574
        
               | mmcdermott wrote:
               | The fish was derived from a Greek acronym. The wikipedia
               | link above mentions this as well. Is there any evidence
               | for an astrological significance?
        
           | mensetmanusman wrote:
           | Humans sacrificed animals when relations between abstract
           | numbers and reality were discovered:
           | 
           | https://en.m.wikipedia.org/wiki/Pythagoreanism
           | 
           | The practice of wonder surrounding numbers and their role in
           | existence has been practiced by nearly every ancient
           | civilization for many millennia.
           | 
           | Definitely not unique to Christianity. Definitely as natural
           | as religious practice itself.
        
             | seanhunter wrote:
             | Humans may have done that, but not the Pythagoreans, who
             | were vegetarians. From that wiki page:
             | 
             | > The Pythagoreans also thought that animals were sentient
             | and minimally rational. The arguments advanced by
             | Pythagoreans convinced numerous of their philosopher
             | contemporaries to adopt a vegetarian diet. The Pythagorean
             | sense of kinship with non-humans positioned them as a
             | counterculture in the dominant meat-eating culture.
        
           | noduerme wrote:
           | Wasn't the whole point of building the thing to make physical
           | all that symbolic stuff in the first place?
        
             | calvinmorrison wrote:
             | The temple _is_ God's physical dwelling place
        
         | noduerme wrote:
         | I had a similar obsession for awhile. Take any 2 really famous
         | places in the old world and draw a great circle line between
         | them on Google Earth... and it's astonishing what falls under
         | that line. (Try Avignon and Jerusalem, for example).
        
       | 0xRusty wrote:
       | I feel a new Dan Brown novel coming on! Probably is a coincidence
       | given these countries were basically at war the whole time so
       | getting agreement to even start a project like this is unlikely.
       | Very interesting nonetheless.
        
       | OnACoffeeBreak wrote:
       | Matt Parker ("Stand up Maths" channel on YouTube) gave a very
       | informative and entertaining lecture in 2010 titled "Clutching at
       | Random Straws" [0], which, among other things, covered something
       | similar. From the subtitle of the video: "Did aliens help
       | prehistoric Britons find the ancient Woolworths civilisation?"
       | The answer is "no". Given enough data points, you can find all
       | sorts of patterns.
       | 
       | 0: https://www.youtube.com/watch?v=sf5OrthVRPA
        
         | SilverBirch wrote:
         | I've got to assume that this is partly a Birthday Problem -
         | that the probability of something unlikely being true grows
         | rapidly as the population grows. Probability of 3 random
         | churches lining up? Small, probability of 3 churches lining up
         | when there are 100,000 churches in Europe? Basically 100%
        
           | Tachyooon wrote:
           | That's one of the examples he goes into in his talk, at a
           | high level anyway. I'd love to find a write-up of someone who
           | has done the detailed calculations of how likely alignments
           | and shape occurrences are.
           | 
           | Another thing that would be interesting is to look at the
           | effect of non-uniformly distributed birthdays. For example,
           | the day that's nine months after valentine's day or christmas
           | might (?) have a slightly higher number of births than an
           | average day. Then you could look at what kind of an effect
           | this would have on the probability of a common birthday as a
           | function of group size.
        
         | smusamashah wrote:
         | Thanks for the link. Gist was that with enough data, lots of
         | patterns are inevitable.
         | 
         | He gave example from some text taken out of bible with spaces
         | removed. That's lots of letters on one screen, and from those
         | letters he was able find his name, date and topic of the talk,
         | when joining letters at equal distance.
         | 
         | Finding unbelievable patterns is not as amazing as we think.
        
         | abrenuntio wrote:
         | Check it :-) Other popular saints and devotions are "Mary",
         | "Joseph", "Paul", "Sacred Heart", ... can you easily get seven
         | sufficiently special ones on a line for those?
        
       | SilverBirch wrote:
       | There's a different way of going about this. So the author uses
       | various projections and evaluates whether the churches are
       | aligned. But this is backwards. The churchs were selected because
       | they lined up. And they lined up on a mercator projection.
       | There's simply no way that the churches _could_ line up on
       | different projections (subject to certain conditions).
       | 
       | So, let's just look at the churches as they line up on the
       | Mercator projection. If you google the churches one by one, you
       | start to notice a pattern. They all predate the invention of the
       | Mercator projection. You also notice, as someone else pointed
       | out, there's a hell of a lot of Churches called St Micheals.
        
       | Zobat wrote:
       | From the article it's quite obvious they're not on a line (as
       | drawn on a spherical representation of earth), but i wonder if
       | they're close to being on the same plane?
        
       | reedf1 wrote:
       | This is probably, given the sheer number of churches (of all
       | saints) in Europe, the look-elsewhere effect.
       | 
       | https://en.m.wikipedia.org/wiki/Look-elsewhere_effect
        
       | gorgoiler wrote:
       | > _Certainly 7 cathedrals are too many to be a coincidence..._
       | 
       | Aha, but two of them will always be on a straight line. It's only
       | the other five that are the coincidences.
        
       | paipa wrote:
       | He managed to get my attention starting with the cathedrals'
       | polygons and exact bell tower positions, only to pull a "50
       | kilometers off, nevermind".
        
         | smeej wrote:
         | I didn't understand what the bell towers had to do with
         | anything. If you're going to pick a piece of architecture that
         | mattered to the architect in terms if "where the thing is," go
         | with the altar.
        
       | kedv wrote:
       | How was this achieved?
        
       | onion2k wrote:
       | I'm not a civil engineer so I don't know for sure, but I'd guess
       | you can't just throw a cathedral up just anywhere you want. The
       | land has to be the right composition, you need to have good
       | enough transport links to get the raw materials to where you're
       | building it, you need local talent to actually build it, _it can
       | 't be in the sea_.
       | 
       | It'd be surprising if these buildings were _exactly_ aligned.
       | Presumably people could easily say that the respective diocese(s)
       | are aligned though.
        
         | lloeki wrote:
         | Tell that to the people that decided that Strasbourg should
         | have a cathedral: the whole area is a freaking swamp (water
         | table + sand and clay). Not to fret, they punched 15cm x 1.5m
         | tree trunks into the ground, as if you were standing on a
         | thousand toothpicks.
         | 
         | Local myth has it that the second spire wasn't build because it
         | would topple over.
         | 
         | Probably many more examples like this one exist. "I don't care.
         | Figure it out. You're the expert."
         | 
         | https://m.youtube.com/watch?v=BKorP55Aqvg
        
         | johncalvinyoung wrote:
         | Salisbury Cathedral (highest medieval spire surviving in the
         | UK, at 404 feet!) was built on a floodplain close to the river,
         | with shallow foundations only four feet deep. But the prior
         | cathedral had been on a hilltop with much strife over access to
         | water, and at least that would not be a problem at the new
         | cathedral.
         | 
         | https://salisburycathedral.wordpress.com/the-spire/ is a
         | glorious essay on the architecture of that spire.
        
       | nonrandomstring wrote:
       | Texas sharpshooter fallacy?
       | 
       | 800 shots. Pick 7.
       | 
       | [0] https://en.wikipedia.org/wiki/Texas_sharpshooter_fallacy
        
       | yergi wrote:
       | Faulty math because the map that the points are being plotted on
       | needs to match the type of calculation performed for the line
       | placed upon it.
       | 
       | Of course it's going to be off with any other method than that of
       | the map itself.
        
       | dougdimmadome wrote:
       | Skellig Michael is not a Cathedral by any stretch of the
       | imagination. It is a cluster of stone beehive huts on an island.
       | It should be recognisable to most people these days as the place
       | Luke Skywalker was hanging out in the new Star Wars sequels, as
       | the movies used it as a filming location in 2015 and 2017.
       | 
       | It's a UNESCO world heritage site and a huge tourist attraction
       | long before Star Wars, but it is definitely not a Cathedral.
        
         | dougdimmadome wrote:
         | ...and, fun fact, the "porgs" only exist because the island is
         | also a wildlife refuge and home to thousands of birds who
         | happily walked across the set during takes, so they had to be
         | CGI'ed out.
        
           | jfengel wrote:
           | Under ordinary circumstances they would have kept the birds
           | out of the shoot. But Skellig Michael is extremely protected,
           | and that includes not being allowed to touch the birds.
           | 
           | CGI'ing over them is a genius solution that makes me absurdly
           | happy.
        
             | dougdimmadome wrote:
             | me too =)
        
       | lalaithion wrote:
       | > Or did they followed some method that is today lost, possibly
       | based on the position of a start or a constellation, resulting in
       | an alignment on the Mercator projection?
       | 
       | I would not say that the method is today lost; while not aligned
       | on a geodesic, the cathedrals are aligned on a spiral starting at
       | the North Pole and ending at the South Pole which always travels
       | at a constant bearing. It's totally possible to recreate a line
       | like this with a compass by walking such that the compass has a
       | constant reading. Doing so over the Mediterranean, multiple
       | mountain ranges, and bits of the Atlantic would be a bit
       | difficult, though.
        
         | mensetmanusman wrote:
         | I wonder if the answer is along these lines. Eg. a star path
         | relative to the horizon from some reference point...
        
       | bsza wrote:
       | Even if they are not on a great circle, they could be on _a_
       | circle (still unlikely as 4 of them would have to be aligned with
       | the other 3).
        
       | TillE wrote:
       | More interesting to me here is the history of the "line". Is this
       | a medieval idea or a modern one? Wikipedia is surprisingly
       | unhelpful. "According to legend", yeah ok.
       | 
       | Who first wrote about this? Who picked those seven sites? The
       | earliest source mentioned is from 1969, and it's not even about
       | this particular line.
       | 
       | There's no shortage of writing about esoteric Christian topics
       | throughout the centuries, but this one seems really thin and
       | really modern.
        
         | SamBam wrote:
         | Right, that's the biggest thing. If medieval builders were
         | deliberately placing these in a line, there would be
         | documentation and discussion about it.
        
       | karaterobot wrote:
       | Are any of these actually cathedrals? I see some monasteries and
       | sacred sites, I don't see any cathedrals in that list. The
       | difference is that 7 cathedrals, all named after St. Michael,
       | found in a basically straight line would certainly not be a
       | coincidence. It would be like there being 7 Google complexes in a
       | straight line spread around the world: something's going on here.
       | But 7 random religious sites named after one of the most famous
       | saints is more like there being 7 Burger Kings in a basically
       | straight line: much easier to believe as a coincidence.
        
         | grahamlee wrote:
         | If you add every single other church or shrine that's dedicated
         | to St. Michael to the map, what's the straight line you can
         | draw that contains the most of those locations?
        
           | margalabargala wrote:
           | As this article found, the answer to that question depends
           | heavily on the map projection you use.
        
             | pdabbadabba wrote:
             | Perhaps we have yet to discover the real St. Michael's
             | sword, which would, of course, be aligned along a geodesic
             | line.
        
               | hef19898 wrote:
               | Yeah, spherical geometry exists. But using various
               | projections makes for better click bait.
        
               | seanhunter wrote:
               | In TFA he tries the geodesic line first before trying the
               | various projections. It doesnt' really fit any of them
               | because even with these extremely cherry-picked seven
               | points, you can't retcon them into having been designed
               | to be in a line when they weren't.
        
               | hef19898 wrote:
               | Take a small enough map or globe and a big enough sharpy
               | anf everything is on a line.
               | 
               | Agree so, there is no line besides the one people make
               | up.
        
         | seanhunter wrote:
         | Well I'll give you one I know: St Michael's mount in Cornwall
         | (second in his list) is definitely not a cathedral. There is a
         | stately home and smallish castle on a small tidal island on the
         | site of an old monastery but I'm pretty sure it has never been
         | a cathedral. It's not in or near a city for starters.
         | 
         | https://en.wikipedia.org/wiki/St_Michael's_Mount
         | 
         | p.s. It's a cool place to visit btw. You can walk over to the
         | house at low tide and then the house is on a steep hill
         | surrounded by a lovely garden which you are compelled to enjoy
         | until the next low tide at which point you can walk back to the
         | mainland. Nearby is a heliport where you can get a passenger
         | helicopter to the Scilly Isles which are also worth a visit.
        
           | seanhunter wrote:
           | Oh and the last one "Stella Maris monastery" is not at all
           | connected with St Michael, which the wikipedia article
           | acknowledges. It's just somewhat near a mountain that is in a
           | biblical story with St Michael. "Stella Maris" means "Star of
           | the Sea" and actually refers to Mary.[1]
           | 
           | [1] https://epicpew.com/hail-bright-star-ocean-ave-stella-
           | maris/ (worth noting that this source is some sort of
           | Catholic thing and is written in what the Wikipedia banners
           | on some articles used to refer to as an "in-universe style")
        
           | addaon wrote:
           | > smallish castle
           | 
           | This makes more sense, as castles tend to move in straight
           | lines. As another comment mentions, if these were cathedrals
           | that would mean a bishop in residence, and we all know
           | bishops prefer to move diagonally.
        
             | PaulDavisThe1st wrote:
             | Not Howl's.
        
         | greggsy wrote:
         | The author cites this page, which refers to them as 'sites'. I
         | suspect English isn't their first language, and they've missed
         | some nuance.
         | 
         | https://en.wikipedia.org/wiki/Saint_Michael's_line
        
         | svieira wrote:
         | The extra interesting wrinkle here is that each of the Burger
         | Kings in the straight line are associated with an appearance of
         | the Burger King himself explicitly asking for a shrine in the
         | location, while the others are mostly random franchises stuck
         | up by someone who decided they would like a fast food
         | restaurant here and it might as well be a Burger King.
         | 
         | (i. e. Mont Saint Michele the bishop who saw St. Michael
         | originally refused to construct the shrine because he wasn't
         | sure of the veracity of the vision. It was only after he was
         | wounded by St. Michael's sword and the wound refused to heal
         | that he went to establish the shrine. And only then did the
         | wound closed up.)
         | 
         | Make of that what you will.
        
           | jvanderbot wrote:
           | That's neat! However, if each burger king was so enshrined by
           | king burger, then there would again be nothing interesting.
           | So, were these the _only_ sites that were selected in that
           | way?
           | 
           | Second, is this a post-hoc story we told _about_ the shrines
           | (perhaps to avoid destruction  / re-purposing by a greedy
           | local lord?)
        
             | pclmulqdq wrote:
             | Put another way, if there are 10,000 shrines to this one
             | saint around Europe, the probability that 7 will randomly
             | be in a straight line on the Mercator projection is a lot
             | higher than if there are <10.
        
               | mensetmanusman wrote:
               | 10^-8 compared to -16?
        
               | pclmulqdq wrote:
               | I don't think it's that low. The number of coincidences
               | will rise exponentially with the number of churches. You
               | also have to account for the fact that there are
               | something like 1000 prominent Catholic saints, and 10's
               | of usable map projections, etc.
        
           | pyrale wrote:
           | > are associated with an appearance of the Burger King
           | himself explicitly asking for a shrine in the location
           | 
           | ...According to the guy trying to sell you a big mac or
           | whatever they are called there.
        
             | PeterCorless wrote:
             | Whoppers. And yes, they are trying to sell you a whopper of
             | a tale.
        
             | sonoffett wrote:
             | Royal with cheese
        
               | Ylpertnodi wrote:
               | Another 'e' is required in this sentence.
        
               | Ylpertnodi wrote:
               | Another 'e' is required in this sentence.
        
           | empath75 wrote:
           | The level of credulity displayed here is pretty amusing.
           | 
           | but just to back that up:
           | 
           | https://en.wikipedia.org/wiki/Skellig_Michael#History
           | 
           | Not a cathedral, No mention of an appearance of St Michael,
           | and the monastery predates the dedication to him (it?) by
           | several centuries.
           | 
           | https://en.wikipedia.org/wiki/St_Michael%27s_Mount
           | 
           | Not a cathedral, site predates dedication to michael. No
           | mention of an appearance of michael.
           | 
           | https://en.wikipedia.org/wiki/Mont-Saint-Michel
           | 
           | This one has a story of an appearance, still not a cathedral
           | 
           | https://en.wikipedia.org/wiki/Sacra_di_San_Michele
           | 
           | Not a cathedral, does have a story about an appearance, but
           | that site significantly predates that appearance.
           | 
           | https://en.wikipedia.org/wiki/San_Michele_Arcangelo,_Perugia
           | 
           | Pre christian temple that was converted, not a cathedral
           | 
           | Taxiarchi Michail
           | 
           | Monastary, not a cathedral
           | 
           | https://en.wikipedia.org/wiki/Stella_Maris_Monastery
           | 
           | Not even dedicated to michael.
        
             | svieira wrote:
             | 1. Shrines, not cathedrals.
             | 
             | 2.
             | https://en.wikipedia.org/wiki/St_Michael%27s_Mount#Folklore
             | - "There are popular claims of a tradition that the
             | Archangel Michael appeared before local fishermen on the
             | mount in the 5th century AD.[44] But in fact this is a
             | modern myth. The earliest appearance of it is in a version
             | by John Mirk, copying details of the medieval legend for
             | Mont-Saint-Michel from the Golden Legend.[45] The folk-
             | story was examined and found to be based on a 15th-century
             | misunderstanding by Max Muller."
        
           | verandaguy wrote:
           | > an appearance of the Burger King himself explicitly asking
           | for a shrine in the location
           | 
           | Is this canonically BK lore?
        
         | mrbonner wrote:
         | A cathedral has nothing to do with size of the church. If a
         | church has a bishop resides, it's a cathedral.
        
           | pdabbadabba wrote:
           | Sure. But is that inconsistent with anything GP said? If you
           | look at the list[1], I think you'll see that the sites are
           | obviously not all cathedrals by that definition. The
           | Wikipedia article doesn't claim otherwise; it calls them
           | "sacred sites dedicated to the Archangel Michael." In fact,
           | two of them are just islands named after St. Michael. Another
           | is a religious site, but one that is _not_ dedicated to St.
           | Michael--rather it is located on Mt. Carmel which is
           | associated with St. Michael.
           | 
           | [1] https://en.wikipedia.org/wiki/Saint_Michael%27s_line
        
           | sigzero wrote:
           | Correct!
           | 
           | The word cathedral comes from a Latin word meaning "seat."
           | The seat referred to is the seat of the bishop, who is the
           | leader of a group of churches related to the cathedral. The
           | bishop's seat is both a metaphor for the cathedral as the
           | bishop's "seat of power" and his actual chair, the
           | "cathedra," inside the cathedral.
        
             | schoen wrote:
             | Strictly, it's a Greek word meaning "seat" (kathedra),
             | although it was borrowed into Latin with what I believe is
             | a more restricted meaning. There is also a Latin word
             | meaning "seat" (sedes) which is _also_ used to refer to the
             | seat of a bishop (an episcopal see)!
        
           | seanhunter wrote:
           | Yes, but a bishop is not ever going to (and could not ever)
           | reside at a monastery because it would be incompatible with
           | their job as a bishop to do what monks do (retire to a life
           | of prayer and contemplation). A bishop is the boss of all the
           | diocesan priests, so needs to be a secular priest not a
           | religious.
           | 
           | Source: not religious at all but my brother is a dominican
           | friar so has explained this stuff to me. Also confirmed by
           | this for example https://catholicsay.com/differences-between-
           | a-bishop-archbis...
        
         | miniwark wrote:
         | - Skellig Michael: monastery, circa 6th century
         | 
         | - St Michael's Mount: monastery, 9th century
         | 
         | - Mont Saint-Michel: monastery & sanctuary, 708
         | 
         | - Sacra di San Michele: monastery, circa 983-987
         | 
         | - San Michele Arcangelo: sanctuary, 490 (St. Michael,
         | supposedly did appear here)
         | 
         | - Taxiarchi Michail: monastery, 18th century (the younger one)
         | 
         | - Stella Maris: monastery, 1185 for the latin monastery (but in
         | fact 15th century BCE as part of Mount Carmel)
         | 
         | So, none of them are a proper cathedrals but monasteries and
         | sanctuaries. With San Michele Arcangelo & Mont Saint-Michel the
         | only two important ones as pilgrimage destinations.
         | 
         | For a partial map of St. Michael churches or alike see:
         | https://www.reseausaintmichel.eu/carte-des-sites/
         | 
         | The "line" could easily be "broken", if we add for example, the
         | Castel Sant'Angelo in Roma (Mausoleum of Hadrian) or Saint-
         | Michel de Cuxa. Both are far more prestigious than... Skellig
         | Michael than nobody would know about if if was not on this
         | "line".
        
           | mandmandam wrote:
           | Skellig Michael is plenty prestigious. It's a UNESCO heritage
           | site and a Star Wars filming location.
        
         | egypturnash wrote:
         | This is an interesting point. Wikipedia's page on St. Michael's
         | Sword describes it as "monasteries and other sacred sites" and
         | also notes that they are also "almost all located on prominent
         | hilltops". Only four of the seven locations show up on
         | Wikipedia's list of "churches dedicated to Saint Michael" (http
         | s://en.wikipedia.org/wiki/Michael_(archangel)#Churches_d...).
         | 
         | Also worth noting: "[Michael's] churches were often located in
         | elevated spots", says the page on San Michele Arcangelo,
         | Perugia.
         | 
         | The obvious next step here is gathering a database of every
         | spot claimed to be sacred to Michael, plotting them on a map,
         | and seeing if this particular set of seven places leaps out of
         | the data. But that sure sounds like work.
         | 
         | (Well, that's the obvious next _data scientist_ step, there 's
         | also the obvious next step for the magician or priest, which is
         | to go to or create a sacred space suitable for summoning
         | archangels, call down Michael, and say "hey thanks for coming,
         | so what's up with this line we call your sword?".)
        
           | larsrc wrote:
           | I would say the next logical step is figuring out the
           | probability that with this many points, what is the
           | likelihood of 7 of them being this close to being on a line?
           | We can assume a uniform random distribution on the unit
           | circle or square for simplicity.
        
           | mminer237 wrote:
           | Here's a partial map of churches in Europe dedicated to
           | Michael: https://overpass-turbo.eu/s/1MyM
           | 
           | If you filter to monasteries, it trims it down a lot
           | https://overpass-turbo.eu/s/1MyP
        
         | pantalaimon wrote:
         | Stella maris isn't even named after St. Michael
        
       | deepsun wrote:
       | > Did the builders knew the earth was round?
       | 
       | Long before St. Michael was born, yes.
        
         | neaden wrote:
         | St. Michael is an Angel, so either has existed since before the
         | Earth was made or if you want the earliest literary reference
         | from the Book of Enoch which dates to around 300 BCE but might
         | have existed in an oral tradition before that. Earth being
         | round dates to around 500 BCE so depending on how old the oral
         | tradition of the angel Michael were around was probably earlier
         | but maybe contemporary.
        
           | 082349872349872 wrote:
           | > " _Once upon a time, there were four little angels who went
           | to the police academy and they were each assigned very
           | hazardous duties. But I took them away from all that and now
           | they work for me. My name is YHWH._ " --not Aaron Spelling
        
       | rpz wrote:
       | The article checks the Mercator projection but doesn't check the
       | Equirectangular projection, which could have been known to the
       | builders of each cathedral.
       | 
       | I wonder if the line is bang on in that projection.
        
       | Duanemclemore wrote:
       | I wish I could link to a great portion of the Eco book Foucault's
       | Pendulum here - it's quite relevant to how we go trying to find
       | meaning in things. If you haven't definitely a novel worth a
       | read.
       | 
       | I'm surprised no one has mentioned From Hell here, which plays
       | with the concept of drawing symbols using lines between
       | landmarks. Alan Moore got a lot of his ideas for that from Iain
       | Sinclair, whose books are well worth a read as well.
       | Specifically, the material Moore references is from Lud Heat
       | iirc.
        
       | dark-star wrote:
       | > Certainly 7 cathedrals are too many to be a coincidence
       | 
       | A very far-fetched claim without any proof. Simple answer:
       | selection bias
       | 
       | > Did the builders knew the earth was round?
       | 
       | If he had just googled that he would have gotten the answer,
       | which is, of course, "yes"
        
       | tantalor wrote:
       | > though this distance would not be a "real" distance in any
       | meaningful sense
       | 
       | Huh?
        
       | dave333 wrote:
       | The location of the 3 northernmost sites is on existing
       | geographic features that predate Christianity so there was no
       | choice of location for those. However the church may have noticed
       | these three were in a straight line and extrapolated from there.
        
       | irrational wrote:
       | > we know that the cathedrals are not aligned on the geodesic
       | 
       | Maybe not exactly aligned, but looking at that image of the
       | geodesic line and the location of the churches, they all seem
       | close enough to make me think their locations are not random
       | chance (especially since they were laid out in the days before
       | satellites and airplanes). I presume these are all Catholic
       | churches? Could the medieval Catholic Church have had a plan to
       | do this?
        
         | SamBam wrote:
         | I also wondered about the strategy of joining the first and
         | last church. The authors switched to a regression for their
         | last test, but only on the Mercator projection.
         | 
         | (I actually remember in 7th grade that our math teacher had to
         | repeat time and again that a line of best fit does not
         | necessarily need to join the first and last dot. For some
         | reason it's a very instinctual thing to do.)
        
       | m3kw9 wrote:
       | Is there selection bias so a straight line is made by selecting
       | the ones that fit?
        
       | klaussilveira wrote:
       | This is why I come to HN. Fascinating investigations, perfectly
       | executed by genius fellow hackers. Thank you.
        
       | denton-scratch wrote:
       | How many other cathedrals/shrines are _not_ "on" this line? If
       | the surrounding countryside is peppered with shrines to St.
       | Michael, then any line you choose to draw would pass
       | through/close to a number of them.
       | 
       | That is: TFA seems to be ignoring the null hypothesis.
        
       | pjs_ wrote:
       | https://archive.org/details/b29827553
        
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