Coding Challenge

In this coding challenge, I visualize a 4D Hypercube (aka "Tesseract") in Processing (Java). Code: https://thecodingtrain.com/challenges...

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🎥 Previous video:    • Coding Challenge #112: 3D Rendering w...  
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References:
🔢 Matrix Multiplication: http://matrixmultiplication.xyz
🗄 Rotation Matrix on Wikipedia: https://en.wikipedia.org/wiki/Rotatio...
🗄 3D Projection on Wikipedia: https://en.wikipedia.org/wiki/3D_proj...
🗄 Tesseract on Wikipedia: https://en.wikipedia.org/wiki/Tesseract

Videos:
🎥 Understanding 4D -- The Tesseract:    • Understanding 4D -- The Tesseract  
🚂 3D Rendering with Rotation and Projection:    • Coding Challenge #112: 3D Rendering w...  
🚂 Matrix Math:    • 10.6: Neural Networks: Matrix Math Pa...  
🚂 Matrix Multiplication for 3D Rendering:    • Matrix Multiplication for 3D Rendering  
🔴 Coding Train Live 148.2:    • Coding Train Live #148.2: 4D Hypercube  

Related Coding Challenges:
🚂 #112 3D Rendering with Rotation and Projection:    • Coding Challenge #112: 3D Rendering w...  

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: https://processing.org

📄 Code of Conduct: https://github.com/CodingTrain/Code-o...

This description was auto-generated. If you see a problem, please open an issue: https://github.com/CodingTrain/thecod...

#3drendering #orthographicprojection #rotationmatrix #4dhypercube #tesseract #processing