[HN Gopher] Any Game of Life pattern can be constructed from jus...
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Any Game of Life pattern can be constructed from just 15 gliders
(2022)
Author : fanf2
Score : 44 points
Date : 2024-07-02 17:42 UTC (5 hours ago)
(HTM) web link (biggieblog.com)
(TXT) w3m dump (biggieblog.com)
| FranchuFranchu wrote:
| Note: This just says that any GoL pattern that can be constructed
| by a universal constructor can be constructed from 15 gliders. A
| universal constructor is a GoL pattern that can construct a very
| diverse set of patterns, but not _any_ pattern. For example,
| Garden of Eden patterns are excluded from this category.
| andrewla wrote:
| > For example, Garden of Eden patterns are excluded from this
| category.
|
| That seems to be naturally true, since they by definition
| cannot be constructed. Are there other patterns that cannot be
| constructed by a universal constructor, or are all such
| patterns non-constructible?
| biggiemac42 wrote:
| The post (and my previous waterbear post) both talk about
| universal construction, it is equivalent to glider
| construction. There are patterns which have N generations of
| predecessor but not N+1, which are also non-constructible.
| recursive wrote:
| Sounds fascinating, but unfortunately, I can't read it at the
| moment. It's serving a 500.
| biggiemac42 wrote:
| Hi, I'm the author, the preferred URL is
| https://biggieblog.com/building-arbitrary-life-patterns-
| in-1.... Does that work for you?
| recursive wrote:
| Yes. Thanks!
| dang wrote:
| We'll change to that from
| https://btm.qva.mybluehost.me/building-arbitrary-life-
| patter... above. Thanks!
| jimbobthrowawy wrote:
| The last video on the page gives me massive Universal Paperclips
| vibes.
| programjames wrote:
| Previous discussion:
| https://news.ycombinator.com/item?id=33797799
| ganzuul wrote:
| That was a lot to take in. Inspiring.
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