{"id":2840,"date":"2021-01-31T17:55:00","date_gmt":"2021-01-31T16:55:00","guid":{"rendered":"http:\/\/paslongtemps.net\/blog\/?p=2840"},"modified":"2021-01-31T09:49:31","modified_gmt":"2021-01-31T08:49:31","slug":"flocon-de-koch-en-un-tweet","status":"publish","type":"post","link":"https:\/\/paslongtemps.net\/blog\/2021\/01\/31\/flocon-de-koch-en-un-tweet\/","title":{"rendered":"Flocon de Koch en un tweet"},"content":{"rendered":"\n

\/\/ Flocon de Koch - P5 - 250
void setup(){size(500,500);background(255);int d=9,h=5,i,k,m=1<3;i++){k=f(i%m);line(x,y,x+=kv.x,y+=kv.y);v.rotate(4<\/em>k*PI\/3.-PI);}} int f(int v){int c=0;while(v>0){c+=v&1;v>>=1;}return c%2;}<\/code><\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n

Inspir\u00e9 par @Jean_no<\/a> et @drst3f<\/a> – Suite \u00e0 ce tweet de Jean-No\u00ebl Lafargue j’ai tent\u00e9 de reproduire le flocon de Koch en moins d’un tweet (280 caract\u00e8res) avec Processing<\/a>.
https:\/\/twitter.com\/Jean_no\/status\/1353401387837763584<\/a><\/p>\n\n\n\n

J’ai ainsi d\u00e9couvert la s\u00e9quence de Thue\u2013Morse qui permet de g\u00e9n\u00e9rer ce flocon en mode “tortue”. #logo
https:\/\/en.wikipedia.org\/wiki\/Thue%E2%80%93Morse_sequence
<\/a>Quelques ruses plus tard, voici un flocon sur fond blanc en 250 caract\u00e8res !
Voici le screenshot de Processing. Merci @Jean_no #koch #fractal #snowflake<\/p>\n\n\n\n

\"\"<\/a><\/figure>\n\n\n\n

\/\/ Koch snowflake with Processing in less than 280 chars
\/\/ Inspiration = https:\/\/twitter.com\/Jean_no\/status\/1353401387837763584
\/\/ Thank you!!!
\/\/
\/\/ Reading this: https:\/\/en.wikipedia.org\/wiki\/Koch_snowflake<\/a>
\/\/ \u2026 led me to the Thue\u2013Morse sequence:
\/\/ https:\/\/en.wikipedia.org\/wiki\/Thue%E2%80%93Morse_sequence<\/a>
\/\/ \u2026 which led me to ideas here:
\/\/ http:\/\/blog.zacharyabel.com\/2012\/01\/thue-morse-navigating-turtles\/<\/a>
\/\/--> {1: (Step, Turn 60); 0: Turn 180}.
\/\/ \u2026 and I found a version of the generator that uses bitwise operators here:
\/\/ https:\/\/rosettacode.org\/wiki\/Thue-Morse#C<\/a>
\/\/
\/\/ Note: you can change d and h.
\/\/ d is the \"depth\" of the snowflake (number of iterations)
\/\/ and h is the length of the unit vector.
\/\/ d=9,h=5 -> this program
\/\/ d=7,h=15 or d=5,h=45 or d=3,h=135
\/\/ or d=1,h=405 -> Simple Triangle<\/code><\/p>\n\n\n\n

<\/p>\n","protected":false},"excerpt":{"rendered":"

\/\/ Flocon de Koch – P5 – 250void setup(){size(500,500);background(255);int d=9,h=5,i,k,m=1<3;i++){k=f(i%m);line(x,y,x+=kv.x,y+=kv.y);v.rotate(4k*PI\/3.-PI);}} int f(int v){int c=0;while(v>0){c+=v&1;v>>=1;}return c%2;} Inspir\u00e9 par @Jean_no et @drst3f – Suite \u00e0 ce tweet de Jean-No\u00ebl Lafargue j’ai tent\u00e9 de reproduire le flocon de Koch en moins d’un tweet (280 caract\u00e8res) avec Processing.https:\/\/twitter.com\/Jean_no\/status\/1353401387837763584 J’ai ainsi d\u00e9couvert la s\u00e9quence de Thue\u2013Morse qui permet de g\u00e9n\u00e9rer […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-2840","post","type-post","status-publish","format-standard","hentry","category-uncategorized"],"_links":{"self":[{"href":"https:\/\/paslongtemps.net\/blog\/wp-json\/wp\/v2\/posts\/2840","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/paslongtemps.net\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/paslongtemps.net\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/paslongtemps.net\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/paslongtemps.net\/blog\/wp-json\/wp\/v2\/comments?post=2840"}],"version-history":[{"count":1,"href":"https:\/\/paslongtemps.net\/blog\/wp-json\/wp\/v2\/posts\/2840\/revisions"}],"predecessor-version":[{"id":2843,"href":"https:\/\/paslongtemps.net\/blog\/wp-json\/wp\/v2\/posts\/2840\/revisions\/2843"}],"wp:attachment":[{"href":"https:\/\/paslongtemps.net\/blog\/wp-json\/wp\/v2\/media?parent=2840"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/paslongtemps.net\/blog\/wp-json\/wp\/v2\/categories?post=2840"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/paslongtemps.net\/blog\/wp-json\/wp\/v2\/tags?post=2840"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}