This synthwave enumeration shows multiplication by k modulo 100 where k ranges from 2 to 51. To visualize this, we draw 100 equally spaced dots on the circle and label them from 0 to 99. For a fixed value of k, we connect each i to k*i modulo 100 by a line.
We start by drawing all diagrams simultaneously and then go through them one by one in color.
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Code for animation: https://github.com/Tom-Edgar/MVPS/blo...
If you want more information about this, check out this amazing video by @Mathologer : • Times Tables, Mandelbrot and the Hear... , which also has a great visualization at the end.
Also, a viewer @Supravo Sharma ( / @supu8599 ) created this Desmos app if you want to play around with multiplication mod 100 (or others) in this fashion: https://www.desmos.com/calculator/r7u...
#modulararithmetic #envelopes #multiplication #mathvideo #math #mtbos #manim #animation #iteachmath #mathematics #discretemath #numbertheory #enumeration #synthwave
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Music is Radiowave by AuraMusic from Pixabay
Watch video Modular Arithmetic Multiplication (synthwave) online without registration, duration hours minute second in high quality. This video was added by user Mathematical Visual Proofs 25 April 2022, don't forget to share it with your friends and acquaintances, it has been viewed on our site 2,296 once and liked it 82 people.