|Bowers style acronym||Padedip|
|Coxeter diagram||x5o x10o|
|Symmetry||H2×I2(10), order 200|
|Vertex figure||Digonal disphenoid, edge lengths (1+√)/2 (base 1), √ (base 2), and √ (sides)|
|Cells||10 pentagonal prisms, 5 decagonal prisms|
|Faces||50 squares, 10 pentagons, 5 decagons|
|Measures (edge length 1)|
|Dichoral angles||Pip–5–pip: 144°|
|Number of pieces||15|
|Level of complexity||6|
|Conjugates||Pentagonal-decagrammic duoprism, Pentagrammic-decagonal duoprism, Pentagrammic-decagrammic duoprism|
The pentagonal-decagonal duoprism or padedip, also known as the 5-10 duoprism, is a uniform duoprism that consists of 5 decagonal prisms and 10 pentagonal prisms, with two of each joining at each vertex.
Vertex coordinates[edit | edit source]
The vertex coordinates of a pentagonal-decagonal duoprism, centered at the origin and with unit edge length, are given by:
Representations[edit | edit source]
A pentagonal-decagonal duoprism has the following Coxeter diagrams:
- x5o x10o (full symmetry)
- x5x x5o (edcagons as dipentagons, pentagon duoprism symmetry)
- ofx xxx10ooo&#xt (decagonal axial)
- ofx xxx5xxx&#xt (dipentagonal axial symmetry)
[edit | edit source]
- Bowers, Jonathan. "Category A: Duoprisms".
- Klitzing, Richard. "Padedip".
- Quickfur. "The 5,10-Duoprism".