https://hackerpaper.kaipfister.de/p/math_0503504/Collected HN comments and submissions linking this paper.enMon, 02 Nov 2026 11:16:22 GMThttps://news.ycombinator.com/item?id=18757946urn:hackerpapers:mention:math_0503504:18757946Tue, 25 Dec 2018 16:31:29 GMT<p>Pet Peeve Rant: Just like in the case of SmoothLife (which Lenia generalizes), the square grid used for this implies a lack of isotropy(we could also say that it &quot;introduces anisotropy&quot;; but that makes it sounds like a good thing), EVEN IF you turn the entire thing continuous like done here and use . This last fact becomes relatively obvious if you mash the &quot;random&quot; button in the demo, you&#x27;ll see &#x27;square&#x27; noise. This really ought to use a triangular grid (or the dual of it, a hexagonal one) to ensure isotropy; Frisch, Hasslacher &amp; Pomeau showed this in 1986 while working on two dimensional…</p><p><a href="https://hackerpaper.kaipfister.de/p/math_0503504/">Paper and discussion history</a>. A mention is not an endorsement.</p>math.DS