Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife · HackerPapers discussions

Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife — mentioned by lloeki

Sat, 13 Jan 2024 22:28:46 GMT

Going continuous is also fun: Lenia: https://chakazul.github.io/lenia.html https://levelup.gitconnected.com/playing-with-lenia-a-contin... https://www.youtube.com/watch?v=7-97RhAZhXI A nice demo: https://chakazul.github.io/Lenia/JavaScript/Lenia.html Smoothlife: https://arxiv.org/abs/1111.1567 https://www.youtube.com/watch?v=KJe9H6qS82I

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Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife — mentioned by hansworst

Wed, 30 Nov 2022 12:43:10 GMT

Well, there is SmoothLife (e.g. https://www.arxiv-vanity.com/papers/1111.1567/#S4) where the time step is also made continuous. I suppose you could extend this so that this isn't some uniform value across the entire space, but instead a value that is constantly recomputed based on neighbourhood density.

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Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife — mentioned by bioplastic

Sat, 12 Jun 2021 10:09:59 GMT

Reminds me of SmoothLife. Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife (Stephan Rafler) http://arxiv.org/abs/1111.1567 Video of SmoothLifeL: https://www.youtube.com/watch?v=KJe9H6qS82I

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Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife — mentioned by no_identd

Sat, 26 May 2018 19:05:07 GMT

Based on this paper: https://arxiv.org/abs/1111.1567 Rafler, Stephan - Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife [2011] Citations here: https://scholar.google.com/scholar?cites=7362834692940912518 Arxiv also points to a blog post from 2013 about it: http://www.preposterousuniverse.com/blog/2013/02/20/smooth-l... Whose author found it via, OF COURSE, John Baez: https://plus.google.com/u/0/117663015413546257905/posts/bguQ...

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Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife — HN submission

Thu, 14 Sep 2017 22:59:11 GMT

Generalization of Conway's “Game of Life” to a Continuous Domain

2 points; 0 discussion replies on HN. Paper and source history. A submission is not an endorsement.

Generalization of Conway's "Game of Life" to a continuous domain - SmoothLife — mentioned by pav3l

Thu, 11 Oct 2012 20:25:30 GMT

Aren't cellular automata in continuous space just PDE's? If so, what is the equation being integrated? EDIT: found the paper: http://arxiv.org/pdf/1111.1567v2.pdf

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