|Symmetry||A3+×4, order 48|
|Vertex figure||10-vertex polyhedron with 3 tetragons and 10 triangles|
|Cells||16 triangular pyramids, 24 phyllic disphenoids, 8 triangular antiprisms|
|Faces||16 triangles, 48 isosceles triangles, 48 scalene triangles|
|Measures (circumradius 1, based on a 2D regular dodecagonal envelope)|
|Edge lengths||6-valence (8):|
The difold ditetraswirlchoron, also known as the disphenoidal-digonal scalenohedral 8-3 double step prism, is one of several isogonal polychoron, formed as a convex hull of two hexadecachora. It consists of 8 triangular antiprisms, 16 triangular pyramids, and 24 phyllic disphenoids. 3 triangular antiprisms, 4 triangular pyramids, and 6 phyllic disphenoids join at each vertex.
This polychoron cannot be optimized using the ratio method, because the solution (with intended minimal ratio 1: ≈ 1:1.41421) would yield a tesseract instead.
Vertex coordinates[edit | edit source]
Coordinates for the vertices of a difold ditetraswirlchoron based on a 2D regular dodecagonal envelope of circumradius 1, centered at the origin, are given by:
[edit | edit source]
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".