{"id":4084,"date":"2020-11-13T22:25:58","date_gmt":"2020-11-13T22:25:58","guid":{"rendered":"https:\/\/noahsmindfuck.wordpress.com\/?p=4084"},"modified":"2020-11-13T22:25:58","modified_gmt":"2020-11-13T22:25:58","slug":"non-binary-cellular-automatons","status":"publish","type":"post","link":"https:\/\/blog.noahessl.com\/?p=4084","title":{"rendered":"Non-Binary Cellular Automatons"},"content":{"rendered":"\n

Based on my research about random music generation<\/a> I stumbled upon Stefen Wolframs “A new kind of science”<\/a>, a book about cellular automatons.
After some reading I felt itchy in my fingers and I kicked my laptop to boot up some tabular sheets and started experimenting.
Finally, I went with basically a 4 dimensional cellular automaton that can be either black, grey, white or absent (also displayed as white).
Data was represented as – very thought through – 1, 2 and 3 in my Spreadsheet. Abence was just an empty string.<\/p>\n\n\n\n

The function that I used to determine the inheritance was:<\/p>\n\n\n\n

=IF(AND(A1=3;B1=3;C1=3);3;\nIF(AND(A1=3;B1=3;C1=1);2;\nIF(AND(A1=3;B1=3;C1=2);1;\nIF(AND(A1=3;B1=1;C1=3);2;\nIF(AND(A1=3;B1=2;C1=3);1;\nIF(AND(A1=1;B1=3;C1=3);2;\nIF(AND(A1=2;B1=3;C1=3);1;\nIF(AND(A1=3;B1=1;C1=1);3;\nIF(AND(A1=3;B1=1;C1=2);3;\nIF(AND(A1=3;B1=2;C1=1);3;\nIF(AND(A1=3;B1=2;C1=2);3;\nIF(AND(A1=1;B1=1;C1=3);3;\nIF(AND(A1=2;B1=1;C1=3);3;\nIF(AND(A1=1;B1=2;C1=3);3;\nIF(AND(A1=2;B1=2;C1=3);3;\nIF(AND(A1=1;B1=1;C1=2);1;\nIF(AND(A1=1;B1=2;C1=1);1;\nIF(AND(A1=2;B1=1;C1=1);1;\nIF(AND(A1=1;B1=2;C1=2);2;\nIF(AND(A1=2;B1=2;C1=1);2;\nIF(AND(A1=2;B1=2;C1=2);2;\nIF(AND(A1=1;B1=1;C1=1);1;\nIF(AND(A1=1;B1=2;C1=1);1;\nIF(AND(A1=2;B1=1;C1=2);2;\nIF(AND(A1=2;B1=3;C1=2);3;\nIF(AND(A1=1;B1=3;C1=2);3;\nIF(AND(A1=2;B1=3;C1=1);3;\nIF(AND(A1=1;B1=3;C1=1);3;\nIF(AND(A1=\"\";B1=1;C1=1);\"\";\nIF(AND(A1=\"\";B1=1;C1=2);1;\nIF(AND(A1=\"\";B1=1;C1=3);2;\nIF(AND(A1=\"\";B1=2;C1=1);3;\nIF(AND(A1=\"\";B1=2;C1=2);1;\nIF(AND(A1=\"\";B1=2;C1=3);2;\nIF(AND(A1=\"\";B1=3;C1=1);3;\nIF(AND(A1=\"\";B1=3;C1=2);1;\nIF(AND(A1=\"\";B1=3;C1=3);2;\nIF(AND(A1=1;B1=\"\";C1=1);\"\";\nIF(AND(A1=1;B1=\"\";C1=2);1;\nIF(AND(A1=1;B1=\"\";C1=3);2;\nIF(AND(A1=2;B1=\"\";C1=1);3;\nIF(AND(A1=2;B1=\"\";C1=2);1;\nIF(AND(A1=2;B1=\"\";C1=3);2;\nIF(AND(A1=3;B1=\"\";C1=1);3;\nIF(AND(A1=3;B1=\"\";C1=2);1;\nIF(AND(A1=3;B1=\"\";C1=3);2;\nIF(AND(A1=1;B1=1;C1=\"\");\"\";\nIF(AND(A1=2;B1=1;C1=\"\");1;\nIF(AND(A1=3;B1=1;C1=\"\");2;\nIF(AND(A1=1;B1=2;C1=\"\");3;\nIF(AND(A1=2;B1=2;C1=\"\");1;\nIF(AND(A1=3;B1=2;C1=\"\");2;\nIF(AND(A1=1;B1=3;C1=\"\");3;\nIF(AND(A1=2;B1=3;C1=\"\");1;\nIF(AND(A1=3;B1=3;C1=\"\");2;\nIF(AND(A1=\"\";B1=\"\";C1=1);3;\nIF(AND(A1=\"\";B1=\"\";C1=2);1;\nIF(AND(A1=\"\";B1=\"\";C1=3);2;\nIF(AND(A1=\"\";B1=1;C1=\"\");3;\nIF(AND(A1=\"\";B1=2;C1=\"\");1;\nIF(AND(A1=\"\";B1=3;C1=\"\");2;\nIF(AND(A1=1;B1=\"\";C1=\"\");3;\nIF(AND(A1=2;B1=\"\";C1=\"\");1;\nIF(AND(A1=3;B1=\"\";C1=\"\");2;\"\")<\/code><\/pre>\n\n\n\n
 Or graphically speaking:<\/p>\n\n\n\n
\"\"<\/a><\/figure><\/div><\/div><\/div><\/div>\n\n\n\n
Here are some of the funny results of a =RANDBETWEEN(1;3)<\/code> generated sequence of  starting blocks, first line. If you have ideas how to graphically develope this to a further extend, please do not hesitate to share \ud83d\ude42<\/p>\n\n\n\n
At a certain time it seems that it culminates in a symetry for most of the generations. Also, no matter how random I generated the starting line, mosty it turned out to become a repetition of one of the ones below and a few more with granular variations in the random pattern at the beginning and minor differences in the end.
Also there seems to be a breaking point about at the middle from where on the whole pattern dramatically changes.<\/p>\n\n\n\n
It seems like my ruleset has a bias inside. I am curious to inspect with other rules!<\/p>\n\n\n\n
\"\"<\/a><\/figure>
\"\"<\/a><\/figure>
\"\"<\/a><\/figure><\/div>
\"\"<\/a><\/figure>
\"\"<\/a><\/figure>
\"\"<\/a><\/figure><\/div>
\"\"<\/a><\/figure>
\"\"<\/a><\/figure><\/div><\/div><\/div><\/div>\n\n\n\n
<\/p>\n","protected":false},"excerpt":{"rendered":"
Examples of a 4 dimensional, cellular automaton that can be either black, grey, white or absent<\/p>\n","protected":false},"author":1,"featured_media":4102,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[16,4],"tags":[27,102,644],"class_list":["post-4084","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-crazy-mind","category-noahs-brains","tag-a-new-kind-of-science","tag-cellular-automaton","tag-wolfram"],"_links":{"self":[{"href":"https:\/\/blog.noahessl.com\/index.php?rest_route=\/wp\/v2\/posts\/4084","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/blog.noahessl.com\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blog.noahessl.com\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blog.noahessl.com\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/blog.noahessl.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=4084"}],"version-history":[{"count":0,"href":"https:\/\/blog.noahessl.com\/index.php?rest_route=\/wp\/v2\/posts\/4084\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/blog.noahessl.com\/index.php?rest_route=\/wp\/v2\/media\/4102"}],"wp:attachment":[{"href":"https:\/\/blog.noahessl.com\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=4084"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blog.noahessl.com\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=4084"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blog.noahessl.com\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=4084"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}