Lately, I've been trying to figure out what the edge figures of (isotoxal) uniform polytera. The isotoxal uniform polytera are numbers 1-4, 7-12, 25-43, 48-240, 682-684, and 687-690 on Hedrondude's website. Here's what I have so far:
hexateron-tetrahedron
penteract-tetrahedron
triacontiditeron-octahedron
hexadecahemidecateron-tetrahemihexahedron
demipenteract-uniform triangular prism
dishexadecateron-crossed triangular antiprism
hexadecapenteract-triangular crate
retrodishexadecateron-crossed triangular bifrustum
retrointercepted hexadecateron-hollow triangular prism
hexadecateron-triangular biodontoid
rectified hexateron-triangular pyramid
dodecateron-disphenoid
rectified penteract-triangular pyramid
rectified triacontiditeron-square pyramid
triacontidihemitriacontiditeron-square retrobipyramid
retropenteractihemitriacontiditeron-square pyramid
rectified hexadecahemidecateron-crossed square pyramid
penteractidishexadecahemidecateron-square hemiretrobipyramid
penteractitriacontiditeron-digonal disphenoid
dodecahemidodecateron-triangular pyramid
Does anyone know what the others are?