Multiplication tables

There is a pretty interesting way to visualize multiplication tables :

Say 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 :

You display n dots on a circle labelled from 1 to n then for each table entry trace a line between dot #i and dot # p x i modulo n Example : 1 x 3 = 3 , connect n°1 and n°3 2 x 3 = 6 , connect n°2 and n°6 3 x 3 = 9 , connect n°3 and n°9 4 x 3 = 12 = 10+2 , connect n°4 and n°2 5 x 3 = 15 =10+5, connect n°5 and n°5 6 x 3 = 18 =10+8, connect n°6 and n°8 ...

Play this game with big numbers and you end up with beautiful patterns ... I took these patterns and twisted them in light & shadow ...

Made with maths, love and p5.js ... Each refresh is changing slightly the background

You can change randomly the p number by pressing 'n' to explore patterns

Best viewed in Full screen

Both part of #HENreunion and unofficial Tribute to Herbert W. Franke