|Bowers style acronym||Starpedip|
|Coxeter diagram||x5o x5/2o ()|
|Cells||5 pentagonal prisms, 5 pentagrammic prisms|
|Faces||25 squares, 5 pentagons, 5 pentagrams|
|Vertex figure||Digonal disphenoid, edge lengths (√+1)/2 (base 1), (√–1)/2 (base 2), √ (sides)|
|Measures (edge length 1)|
|Dichoral angles||Stip–5/2–stip: 108°|
|Number of external pieces||15|
|Level of complexity||12|
|Abstract & topological properties|
|Symmetry||H2×H2, order 100|
The pentagonal-pentagrammic duoprism, also known as starpedip or the 5-5/2 duoprism, is a uniform duoprism that consists of 5 pentagonal prisms and 5 pentagrammic prisms, with 2 of each at each vertex.
This is the only duoprism aside from the tesseract to have a circumradius equal to its edge length.
The pentagonal-pentagrammic duoprism can be edge-inscribed into the small stellated hecatonicosachoron. The small stellated hecatonicosachoron's regiment contains a uniform compound of 24 pentagonal-pentagrammic duoprisms.
Vertex coordinates[edit | edit source]
The coordinates of a pentagonal-pentagrammic duoprism, centered at the origin and with unit edge length, are given by:
[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "starpedip".