This synthwave enumeration shows multiplication 8 different Maurer roses. These families of curves are created by creating 360 equally spaced points on a rose curve of polar form r=sin(n*t) for given n. Then, connect points of the parameterized by points i and i*d mod 360 where d is a fixed integer between 1 and 360 (preferably relatively prime to 360).

We draw one such Maurer rose for each Rose curve for the values n=2, 3, 4, 5, 6, 7, 8, and 9

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Code for animation: [ Ссылка ]

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#manim #math #modulararithmetic #envelopes #multiplication #mathvideo​ #mtbos​​ #animation​​​ #iteachmath #mathematics #discretemath #numbertheory #enumeration #synthwave #rosecurve #rosemath #rose

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Music in this video:
Escape by Aries Beats | [ Ссылка ]
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Creative Commons Attribution-ShareAlike 3.0 Unported
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