Coding Challenge

In this coding challenge, I visualize a 4D Hypercube (aka "Tesseract") in Processing (Java). Code: thecodingtrain.com/challenges...
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🎥 Previous video: • Coding Challenge #112:...
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References:
🔢 Matrix Multiplication: matrixmultiplication.xyz
🗄 Rotation Matrix on Wikipedia: en.wikipedia.org/wiki/Rotatio...
🗄 3D Projection on Wikipedia: en.wikipedia.org/wiki/3D_proj...
🗄 Tesseract on Wikipedia: en.wikipedia.org/wiki/Tesseract
Videos:
🎥 Understanding 4D -- The Tesseract: • Understanding 4D -- Th...
🚂 3D Rendering with Rotation and Projection: • Coding Challenge #112:...
🚂 Matrix Math: • 10.6: Neural Networks:...
🚂 Matrix Multiplication for 3D Rendering: • Matrix Multiplication ...
🔴 Coding Train Live 148.2: • Coding Train Live #148...
Related Coding Challenges:
🚂 #112 3D Rendering with Rotation and Projection: • Coding Challenge #112:...
Timestamps:
0:00 Introducing today's topic: rendering a 4D hypercube
7:30 Create a P4Vector class
9:43 Extend the points array to have 16 points
13:06 Create the projection matrix
16:16 Stereographic projection
18:04 Connect the points
22:17 Add an offset to the connect function
26:26 Create rotation in the 4th dimension
29:49 Create a rotationXY matrix
36:52 Rotate around the w axis
40:23 We have now entered the 4th dimension!!
40:58 What dimension could you visualize?
Editing by Mathieu Blanchette
Animations by Jason Heglund
Music from Epidemic Sound
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🔗 Processing: processing.org
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#3drendering #orthographicprojection #rotationmatrix #4dhypercube #tesseract #processing