|Bowers style acronym||Pat|
|Coxeter diagram||p2p10o ()|
|Vertex figure||2 pentagons, 10 triangles|
|Measures (edge length 1)|
|Abstract & topological properties|
|Symmetry||I2(10)×A1/2, order 20|
The pentagonal antitegum or pat, also known as the pentagonal trapezohedron, is an antitegum based on the pentagon, constructed as the dual of a pentagonal antiprism. It has 10 kites as faces, with 2 order–5 and 10 order–3 vertices.
Each face of this polyhedron is a kite with its longer edges times the length of its shorter edges. These kites have 3 angles measuring 108° and 1 measuring 36°.
The pentagonal antitegum can be constructed from the regular dodecahedron by augmenting tall pyramids on two opposite faces.
[edit | edit source]
- Klitzing, Richard. "p2p5p".