|Bowers style acronym||Triddip|
|Coxeter diagram||x3o x3o ()|
|Cells||6 triangular prisms|
|Faces||6 triangles, 9 squares|
|Vertex figure||Tetragonal disphenoid, edge lengths 1 (base) and √ (sides)|
|Measures (edge length 1)|
|Dichoral angles||Trip–4–trip: 90°|
|Number of pieces||6|
|Level of complexity||3|
|Symmetry||A2≀S2, order 72|
The triangular duoprism or triddip, also known as the triangular-triangular duoprism, the 3 duoprism or the 3-3 duoprism, is a noble uniform duoprism that consists of 6 triangular prisms, with 4 meeting at each vertex. It is the simplest possible duoprism (excluding the degenerate dichora) and is also the 6-2 gyrochoron. It is the first in an infinite family of isogonal triangular dihedral swirlchora and also the first in an infinite family of isochoric triangular hosohedral swirlchora.
Gallery[edit | edit source]
Vertex coordinates[edit | edit source]
Coordinates for the vertices of a triangular duoprism of edge length 1, centered at the origin, are given by:
Representations[edit | edit source]
A triangular duoprism has the following Coxeter diagrams:
- x3o x3o (full symmetry)
- ox xx3oo&#x (axial, triangle atop triangular prism)
- xxoo xoox&#xr (axial, vertex first)
- xxx3ooo&#x (A2 axial)
Related polychora[edit | edit source]
Isogonal derivatives[edit | edit source]
- Triangular prism (6): Triangular duotegum
- Triangle (6): Triangular duotegum
- square (9): Triangular duoprism
- Edge (18): Rectified triangular duoprism
[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Bowers, Jonathan. "Four Dimensional Dice Up To Twenty Sides".
- Klitzing, Richard. "triddip".
- Quickfur. "The 3,3-Duoprism".