Announcing HoxelDraw! A 4D Hyper-Voxel (hoxel) editor.
Create, visualize, and share true 4D geometric models. HoxelDraw's simple interface and powerful visualizations make it the most intuitive tool for 4D content creation.
https://t.co/Ya6yOzb64J
#HoxelDraw#voxelart#pixelart
Progressive 3D slices of the 4-dimensional hypertorus. Notice the discrete critical points as the slice changes topology from a sphere, to a torus, then a genus-2 surface, with the equatorial slice being two separate tori.
Slicing the 4D hypertorus again.
This time the slice hyperplane is tilted and the locations of the 8 critical points are shifted, altering their sequencing.
As a result, the equatorial slice is not a pair of disjoint tori, but instead is a surface of genus 3.