Coding Challenge #19: Superellipse

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Published on June 3, 2016 9:03:40 PM ● Video Link: https://www.youtube.com/watch?v=z86cx2A4_3E

Duration: 13:36

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In this coding challenge, I’m going to use superformulas to create a superellipse in p5.js. This is part 1 of a multi-part series on superformulas, superellipses and supershapes. Code: https://thecodingtrain.com/challenges/19-superellipse

🕹️ p5.js Web Editor Sketch: https://editor.p5js.org/codingtrain/sketches/Hk-1AMTgN

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References:
🔗 Superellipse on Wikipedia: https://en.wikipedia.org/wiki/Superellipse
🔗 Supershapes: http://paulbourke.net/geometry/supershape/
📕 Nature of Code class on Kadenze: https://www.kadenze.com/courses/the-nature-of-code/info

Videos:
🎥 Supershape track: https://thecodingtrain.com/tracks/supershapes
🔴 Coding Train Live 41: https://youtu.be/1Yo_AYzxA-o?t=7132s

Related Coding Challenges:
🚂 #23 2D Supershapes: https://youtu.be/ksRoh-10lak
🚂 #25 Spherical Geometry: https://youtu.be/RkuBWEkBrZA
🚂 #26 3D Supershapes: https://youtu.be/akM4wMZIBWg
🚂 #112 3D Rendering with Rotation and Projection: https://youtu.be/p4Iz0XJY-Qk

Timestamps:
0:00 Introduction to the Coding Challenge
0:56 Whiteboard discussion of polar coordinates
2:30 Into the code...drawing an ellipse using polar coordinates
4:38 Whiteboard discussion of the Superellipse formula
7:32 Implementing the Superellipse formula from Wikipedia
9:43 Explaining and implementing the sgn function
11:05 Testing the formula with different values
11:22 Creating a slider for the 'n' variable
12:14 What's next with superforumlas?

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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#supershapes #maths #p5js