Coding Challenge #26: 3D Supershapes

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Published on June 30, 2016 2:32:09 PM ● Video Link: https://www.youtube.com/watch?v=akM4wMZIBWg

Duration: 21:35

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In this coding challenge, I use the "superformula" to make a 3D "supershape" in Processing. This is part 4 of a multi-part series on superformulas, superellipses and supershapes Code: https://thecodingtrain.com/challenges/26-3d-supershapes

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References:
📐 Supershapes (Superformula): http://paulbourke.net/geometry/supershape/
🏮 3D Supershapes: http://www.syedrezaali.com/3d-supershapes/
🗄 Spherical Coordinates System on Wikipedia: https://en.wikipedia.org/wiki/Spherical_coordinate_system
🎥 Peasycam: http://mrfeinberg.com/peasycam/

Videos:
🎥 Supershape track: https://thecodingtrain.com/tracks/supershapes
🔴 Live Stream Archive: https://youtu.be/m8WhMeW8jj0

Related Coding Challenges:
🚂 #25 Spherical Geometry: https://youtu.be/RkuBWEkBrZA
🚂 #112 3D Rendering with Rotation and Projection: https://youtu.be/p4Iz0XJY-Qk
🚂 #113 4D Hypercube (aka 'Tesseract'): https://youtu.be/XE3YDVdQSPo
🚂 #168 The Mandelbulb: https://youtu.be/NJCiUVGiNyA

Timestamps:
0:00 Introduction
0:44 Reza Ali's generative art
1:04 Paul Bourke's website
1:52 Constants
4:46 Supershape function
6:58 Why do we have r1 and r2?
11:23 Work on the math
13:53 Render the supershape
15:03 Try a different supershape
16:30 Add color
16:56 Animate the colors
17:53 Animate the supershape

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

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🔗 p5.js: https://p5js.org
🔗 p5.js Web Editor: https://editor.p5js.org/
🔗 Processing: https://processing.org

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#sphericalcoordinates #3dsupershape #processing