User:Dc.samizdat/Trans polytopes

Author: David Brooks Christie

Proposed terminology for transitional or trans- polytopes
trans- as a prefix for the adjective applied to the noun state transitioned to, as a transgender transition is from a woman to a transman, or a man to a transwoman.

Transitional states within dimension n
3-transicosahedron: Jessen's icosahedron and Fuller jitterbug (cuboctahedron - icosahedron - octahedron - tetrahedron)

The analogous 4-trans-600-cell (24-cell - 600-cell - 16-cell - degenerate-5-cell)?

4-tensegrity
Tension integrity structures (with infinitesimal rigidity) in 4-space.

Chords as compression vectors, edges as tension vectors.

n-polytope embeddings in dimension n + 1
The 3-4-transcube (is the 4-orthoplex)

The 3-4-transicosahedron

Polychoral rings as trans polytopes (e.g. is the 3-4-transicosahedron 2 rings of 10 tetrahedra?).