Pentambus
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Pentambus | |
---|---|
Rank | 2 |
Type | Isotopic |
Notation | |
Coxeter diagram | m5m () |
Elements | |
Edges | 10 |
Vertices | 5+5 |
Vertex figure | Dyad |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Dual | Dipentagon |
Abstract & topological properties | |
Flag count | 20 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | H2, order 10 |
Convex | Yes |
Nature | Tame |
The pentambus is a non-regular equilateral decagon with pentagonal symmetry. It has 10 edges of equal length, with 2 alternating angles. The two alternating angles in a pentambus add up to 288°.
Star pentambus[edit | edit source]
Star pentambus | |
---|---|
Rank | 2 |
Type | Isotopic |
Notation | |
Schläfli symbol | |
Elements | |
Edges | 10 |
Vertices | 5+5 |
Measures (edge length 1) | |
Central density | 1 |
Related polytopes | |
Convex hull | Pentagon, edge length |
Convex core | Pentagon, edge length |
Abstract & topological properties | |
Flag count | 20 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | H2, order 10 |
Convex | No |
Nature | Tame |
The star pentambus is a variant of the pentambus which resembles the pentagram. It can be constructed from a pentagram by adding vertex at the points of self intersection, and replacing the edges with only the external pieces.
Vertex coordinates[edit | edit source]
Vertex coordinates for a star pentambus of unit edge length centered at the origin can be given as:
- ,
- ,
- ,
- ,
- ,
- .