Coding Challenge #61: Fractal Spirograph

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Published on February 28, 2017 4:58:44 PM ● Video Link: https://www.youtube.com/watch?v=0dwJ-bkJwDI

Duration: 44:19

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In this coding challenge, I attempt to create a "Fractal Spirograph" with Processing (Java). The visuals are inspired by images and explanation on C. J. Chen’s blog. Code: https://thecodingtrain.com/challenges/61-fractal-spirograph

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References:
🖊 C.J.Chen's blog on Fractal Spirograph: http://benice-equation.blogspot.ca/2012/01/fractal-spirograph.html

Videos:
🎥 My Video on Polar Coordinates: https://youtu.be/O5wjXoFrau4
🎥 Live Stream #81: Fractal Spirograph: https://youtu.be/S5Qj-JgAN-M

Related Coding Challenges:
🚂 #7 Solar System (2D): https://youtu.be/l8SiJ-RmeHU
🚂 #55 Mathematical Rose Patterns: https://youtu.be/f5QBExMNB1I
🚂 #116 Lissajous Curve Table: https://youtu.be/--6eyLO78CY

Timestamps:
0:00 Introduction
1:45 Benice equation
3:26 The solar system coding challenge
4:45 Polar to cartesian coordinates
5:53 Draw first circle
6:44 Add a second circle
8:54 Use polar coordinates to find radius of second circle
9:52 Increment the angle to rotate second circle around first circle
11:02 Save the points of the path of the second circle
14:07 Add an Orbit class
16:41 Linked lists
19:01 Write an addChild() function
23:20 Write a loop to add the next child
24:47 Write an update function
27:14 Add a speed variable
31:23 Trace the path
33:43 Get the formula
34:39 Have each orbit keep track of its level
35:27 Use the formula to calculate the speed
40:13 Bonus addendum with improvements
40:28 Adjust angle to have pattern point up
41:23 Adjust resolution
43:51 Thanks for watching!

Editing by Mathieu Blanchette
Animations by Jason Heglund
Music from Epidemic Sound

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#fractal #spirograph #polarcoordinates #processing #java