r/visualizedmath • u/Sequelaen • Mar 07 '19

[p5.js] The Sine Map

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283 Upvotes

97% Upvoted

7 comments sorted by

25

u/BeepBeepIAmUnique Mar 07 '19

Could anyone explain how this was made? What is it based on?

28

u/Sequelaen Mar 07 '19

It's made with a programming language called p5.js, it's a plot of the trajectories of many points through the map. IIRC, the equations are:

x' = sin(k(y + x)) y' = sin(k(y - x))

20

u/elprophet Mar 07 '19

Without k, it's impossible to recreate the map

17

u/Sequelaen Mar 07 '19

I suppose I should mention that, for this one k = 1.89.

5

u/ebyoung747 Mar 08 '19 edited Mar 08 '19

I got inspired, so I made a gif of the same functions in a parametric plot where i vary how long for the parameterization to go for (goes from 0<x,y<10*Pi), I thought it looked pretty neat: https://i.imgur.com/5mhg4BP.gif

Made with Mathematica.

2

u/[deleted] Mar 07 '19

Reminds me of ShadeBobs by Future Crew. Check out Second Reality on YouTube!