[HN Gopher] The Art and Mathematics of Genji-Ko
       ___________________________________________________________________
        
       The Art and Mathematics of Genji-Ko
        
       Author : olooney
       Score  : 89 points
       Date   : 2024-11-27 14:33 UTC (8 hours ago)
        
 (HTM) web link (www.oranlooney.com)
 (TXT) w3m dump (www.oranlooney.com)
        
       | doctorhandshake wrote:
       | Loved this. Great writing and a bit of cultural arcana I knew
       | nothing about but which resonates into the present day.
        
       | tromp wrote:
       | Obligatory entry in The On-Line Encyclopedia of Integer
       | Sequences: https://oeis.org/A000110 which has 3 links mentioning
       | Genji only one of which is not broken:
       | 
       | Xiaoling Dou, Hsien-Kuei Hwang and Chong-Yi Li, Bell numbers in
       | Matsunaga's and Arima's Genjiko combinatorics [1]: Modern
       | perspectives and local limit theorems, arXiv:2110.01156
       | [math.CO], 2021.
       | 
       | [1] https://arxiv.org/abs/2110.01156
        
       | rezmason wrote:
       | A couple years ago I made a codepen to generate arbitrarily long
       | Genji-mon from a ruleset, and managed to write a rule that
       | reduces the number of required special cases to one. However,
       | these rules are very fragile, and "break" with lengths > 5 (edit:
       | or maybe they don't! this deserves further exploration). Glad to
       | see someone else discovering the structure behind this
       | interesting system!
       | 
       | https://codepen.io/rezmason/pen/ejWogV
        
       ___________________________________________________________________
       (page generated 2024-11-27 23:00 UTC)