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4D geometry and transformations For Intermediate

This  tutorial is about the 4D as a way to deform geometry. You lift a 3D object into 4D, rotate it there, and project it back. The result is a smooth deformation that is hard to get in another way.

In the tutorial I made basic setup from scratch with Math Combine POP, without GLSL: the lift, the rotation planes, the flat and stereographic projections, and then the Clifford and Hopf torus.

Later I', showing of two tools: 4D rotation that works with point clouds, polygonal meshes and Gaussian splats, and a generator of 4D shapes (points, polygonal mesh or lines)

 
Experience level 

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