{"name":"Multiplication tables","description":"There is a pretty interesting way to visualize multiplication tables :\n\nSay you take a integer n , ( for example 10 ) and want to represent the table of p ( for example 3 ) for all numbers from 1 to n :\n\nYou display n dots on a circle labelled from 1 to n\nthen for each table entry trace a line between dot #i and dot # p x i modulo n\nExample :\n1 x 3 = 3 , connect n°1 and n°3\n2 x 3 = 6 , connect n°2 and n°6\n3 x 3 = 9 , connect n°3 and n°9\n4 x 3 = 12 = 10+2 , connect n°4 and n°2\n5 x 3 = 15 =10+5, connect n°5 and n°5\n6 x 3 = 18 =10+8, connect n°6 and n°8\n...\n\nPlay this game with big numbers and you end up with beautiful patterns ...\nI took these patterns and twisted them in light & shadow ...\n\nMade with maths, love and p5.js ...\nEach refresh is changing slightly the background \n\nYou can change randomly the p number by pressing 'n' to explore patterns \n\nBest viewed in Full screen\n \nBoth part of #HENreunion and unofficial Tribute to Herbert W. Franke \n\n","tags":["Mathart","HENreunion","tribute-hwf","generativeart","mathematics","lines","monochrome","black&white"],"symbol":"OBJKT","artifactUri":"ipfs://bafybeiftw2kb6q5lrnqmojsb537pujtcfsypqx46vdmympdnpmb7yeb4ji","displayUri":"ipfs://QmeDckV6yeE163BSrsJCUmqb7geJqRiWwwbaLLDrtXe2M9","thumbnailUri":"ipfs://Qmf8WoH623frrLsGR5q2AUy9qTjDDXACaHnu6Bnicm7pWC","creators":["tz2EaL8HTqjZhVAWrQ3Ddp4wNCxPeE8CtM5f"],"formats":[{"fileSize":197821,"fileName":"tables.zip","mimeType":"application/x-directory","uri":"ipfs://bafybeiftw2kb6q5lrnqmojsb537pujtcfsypqx46vdmympdnpmb7yeb4ji"},{"mimeType":"image/png","fileSize":1623848,"fileName":"cover_tables.png","dimensions":{"value":"1024x802","unit":"px"},"uri":"ipfs://QmeDckV6yeE163BSrsJCUmqb7geJqRiWwwbaLLDrtXe2M9"},{"mimeType":"image/png","fileSize":219004,"fileName":"thumbnail_tables.png","dimensions":{"value":"350x274","unit":"px"},"uri":"ipfs://Qmf8WoH623frrLsGR5q2AUy9qTjDDXACaHnu6Bnicm7pWC"}],"decimals":0,"isBooleanAmount":false,"shouldPreferSymbol":false,"rights":"cc-by-sa-4.0","date":"2022-09-30T21:50:27.324Z","mintingTool":"https://teia.art/mint"}