[HN Gopher] Visualize 3D hyperbolic honeycombs and sphere packings
___________________________________________________________________
Visualize 3D hyperbolic honeycombs and sphere packings
Author : mathgenius
Score : 75 points
Date : 2021-09-25 13:37 UTC (9 hours ago)
(HTM) web link (github.com)
(TXT) w3m dump (github.com)
| nprz wrote:
| Interesting, I was just watching this last night:
| https://www.youtube.com/watch?v=loCBvaj4eSg
| _Microft wrote:
| _Would you like some shepard tone with your hyperbolic
| geometry, sir?_
|
| https://www.youtube.com/watch?v=u9VMfdG873E
|
| Unfortunately this is not such a good example of a shepard
| tone, as the fade-ins of the high-pitched notes are rather
| audible. You can listen to other examples on the wikipedia
| page: https://en.wikipedia.org/wiki/Shepard_tone
| gwintrob wrote:
| Any suggested reading/tutorials on how to play with OpenGL
| shaders?
| enchiridion wrote:
| I would pay a non-trivial amount of money to be able to move
| around these, and other non-Euclidean spaces in VR
| [deleted]
| kortex wrote:
| CodeParade has been working on hyperbolica for a while now and
| doing fantastic videos on the process.
|
| https://youtu.be/EMKLeS-Uq_8
|
| https://store.steampowered.com/app/1256230/Hyperbolica/
| enchiridion wrote:
| So I recently heard about Jeff Hawkins 1000 brain's theory
| when he was on Lex Friedman. The idea is that there is a
| basic unit of the brain, originally meant for mapping the
| environment, which was copied many times with adjustments to
| give us our current brain.
|
| If that is true, I wonder what brain activity while exploring
| hyperbolic spaces would look like.
| high_byte wrote:
| You can! :) just pay _me_ the non-trivial amount of money. (or
| go here for free: https://www.youtube.com/watch?v=ztsi0CLxmjw)
| enchiridion wrote:
| I'll pay in upvote!!
| istorical wrote:
| wish there was a modern day equivalent of medieval patronage (one
| rich patron you had to convince, rather than pleasing and
| amassing hundreds of small patrons with online astroturfing and
| self-aggrandizing spam marketing), I would love to spend my life
| creating virtual worlds you could travel through as beautiful as
| those fractals but with interesting things to do and discover
| inside.
|
| was scratching my artistic itch and self-funding exploring such
| things but ran out of money and had to go back to the real world:
| https://cmadams.itch.io/preydrivr
| high_byte wrote:
| you just described angel/VC investments vs. crowdsourced
| investment/bootstrapped income.
|
| there are thousands of ways to make a million dollars: you
| could ask one person for a million dollars, you could ask a
| million people for one dollar, or anything in between.
|
| you could start a patreon & market it through youtube because I
| think the concept is right.
| mandmandam wrote:
| Basic Income would allow for this. For everyone.
| Keyframe wrote:
| https://en.m.wikipedia.org/wiki/MojoWorld_Generator
| mathgenius wrote:
| One of the creators is on twitter:
|
| https://twitter.com/neozhaoliang
|
| It would be nice to understand (explicitly see) how these Coxeter
| diagrams give rise to these honeycomb pictures exactly.
| gdubs wrote:
| Maybe a tangent but in high school we procured some ... not
| grocery store mushrooms, and whatever it did to my brain made me
| see the universe as a 3d hyperbolic honeycomb lattice. Though
| until today, I had no idea there was a name for that particular
| geometry.
|
| I wonder why these shapes show up so frequently in psychedelic
| art and experiences (anecdotally I'm not the only one who's had a
| similar visual, by a long-shot).
| nprz wrote:
| Yeah there's this whole lecture about the hyperbolic geometry
| commonly seen on a DMT trip: https://youtu.be/loCBvaj4eSg?t=504
| kortex wrote:
| Also a really good blog post:
|
| https://plus.maths.org/content/uncoiling-spiral-maths-and-
| ha...
| high_byte wrote:
| I've never seen hyperbolic geometry on not grocery store
| mushrooms... maybe I should try not grocery store DMT.
| tokipin wrote:
| My guess is they are mid-layer activations in the brain that
| your consciousness (attention?) is connecting to, or which are
| being directed to the lower layers and interpreted as input.
| gdubs wrote:
| Are you saying that it's the brain being conscious of the
| geometry of the light processing system? Kind of like the
| hidden layers of a neural network?
| kortex wrote:
| Essentially, yes (we theorize).
|
| > It turns out that hallucinations comprising spirals,
| circles, and rays that emanate from the centre correspond
| to stripes of neural activity in V1 that are inclined at
| given angles. Lattices like honeycombs or chequer-boards
| correspond to hexagonal activity patterns in V1.
|
| https://plus.maths.org/content/uncoiling-spiral-maths-and-
| ha...
___________________________________________________________________
(page generated 2021-09-25 23:01 UTC)