a2.1.0 (feature) - Pentatope & Orthoplex


Added two new convex regular 4-polytopes (next to the existing tesseract, the 4D analogy of a cube):

  • Pentatope: The pentatope, also called the 4-simplex or the 5-cell, is the 4D analogy of a tetrahedron. As opposed to a tetredron with 4 triangular faces, it is made of 5 tetrahedral cells.
  • Orthoplex: The orthoplex, also called the 4-orthoplex or the 16-cell, is the 4D analogy of a octahedron. As opposed to an octahedron with 8 triangular faces, it is made of 16 tetrahedral cells.

These are also present in the DefaultScene as blue objects, but also have their own hyperscenes, FixedPentatope and FixedOrthoplex, each with a highlighted tetrahedral cell.

Since there are 6 regular convex 4D polytopes (as opposed to 5 Platonic solids in 3D), that means that there are three more to go: the octaplex (24-cell, the only one that doesn’t have a direct 3D analogy), the tetraplex (600-cell, 4D analogy of an icosahedron) and the dodecaplex (120-cell, 4D analogy of a dodecahedron). These definitely seem more challenging to implement than the existing three, as all of them do not exist in 5+ dimensions, the octaplex doesn’t have a 3D analogy, and the tetraplex and dodecaplex are absolute monsters in terms of cell and vertex count, however I’m sure I’ll find a way soon enough :)

Besides that, there is also a new lock rotation sliders button. If you click on the lock icon in the top left of the rotation sliders panel, the sliders won’t snap back to 0 if you release them. Pretty self-explanatory :)

Files

a2-1-0_webgl.zip Play in browser
Jul 21, 2025

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