Coding Challenge #87: 3D Knots

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Published on December 20, 2017 2:09:35 PM ● Video Link: https://www.youtube.com/watch?v=r6YMKr1X0VA

Duration: 13:07

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Getting tied up in 3D Knots in Processing is loads of fun! Thank you to Paul Bourke for the helpful reference and formulae! Code: https://thecodingtrain.com/challenges/87-3d-knots

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References:
📔 Knots: http://paulbourke.net/geometry/knots/
📝 Knot Theory: https://en.wikipedia.org/wiki/Knot_theory

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🔴 Coding Train Live 111: https://youtu.be/Xiu8pbHtrEY

Related Coding Challenges:
🚂 #25 Spherical Geometry: https://youtu.be/RkuBWEkBrZA
🚂 #12 The Lorenz Attractor: https://youtu.be/f0lkz2gSsIk
🚂 #86 Cube Wave by Bees and Bombs: https://youtu.be/H81Tdrmz2LA

Timestamps:
0:00 Introduction
1:30 Understanding the equations and spherical coordinates
2:47 Coding starts here!
3:44 Implementing the formulae into code
5:03 Making the shape
5:30 Translate to the middle
6:21 That kinda looks like a knot!
8:04 Making it look pretty
8:58 Animating the knot
10:53 Adding the color back
12:00 Things you can try!

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

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#3drendering #3dknots #polartocartesiancoordinates #java #processing