This short animation 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.
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Here is a longer, wide format, slower version (with synthwave music)
https://youtu.be/XLppaLh5sWU
If you want more information about this, check out this amazing video by mathologer: https://youtu.be/qhbuKbxJsk8, which also has a great visualization at the end.
Also, a viewer @Supravo Sharma (https://www.youtube.com/channel/UC6OPFiZOIAiA1bqv4-S0L4A/) created this Desmos app if you want to play around with multiplication mod 100 (or others) in this fashion: https://www.desmos.com/calculator/r7uzd7vdri
#modulararithmetic #envelopes #multiplication #mathvideo #math #mtbos #manim #animation #iteachmath #mathematics #discretemath #numbertheory #enumeration #synthwave
To learn more about animating with manim, check out:
https://manim.community