Icosagon
Jump to navigation
Jump to search
Icosagon | |
---|---|
Rank | 2 |
Type | Regular |
Notation | |
Bowers style acronym | Ic |
Coxeter diagram | x20o () |
Schläfli symbol | {20} |
Elements | |
Edges | 20 |
Vertices | 20 |
Vertex figure | Dyad, length |
Measures (edge length 1) | |
Circumradius | |
Inradius | |
Area | |
Angle | 162° |
Central density | 1 |
Number of external pieces | 20 |
Level of complexity | 1 |
Related polytopes | |
Army | Ic |
Dual | Icosagon |
Conjugates | Small icosagram, icosagram, great icosagram |
Abstract & topological properties | |
Flag count | 40 |
Euler characteristic | 0 |
Orientable | Yes |
Properties | |
Symmetry | I2(20), order 40 |
Flag orbits | 1 |
Convex | Yes |
Nature | Tame |
The icosagon, or ic, is a polygon with 20 sides. A regular icosagon has equal sides and equal angles.
Icosagons are the largest polygon currently known to appear in a CRF polytope that is not part of an infinite series, as augmentations of certain icosagon-based duoprisms are CRF. Also, uniform compound with hecatonicosachoric symmetry exist based on duoprisms using icosagons and their star forms.
Stellations[edit | edit source]
- 2-icosagram (compound of 2 decagons)
- Small icosagram (3-icosagram)
- 4-icosagram (compound of 4 pentagons)
- 5-icosagram (compound of 5 squares)
- 6-icosagram (compound of 2 decagrams)
- Icosagram (7-icosagram)
- 8-icosagram (compound of 4 pentagrams)
- Great icosagram (9-icosagram)
External links[edit | edit source]
- Bowers, Jonathan. "Regular Polygons and Other Two Dimensional Shapes".
- Wikipedia contributors. "Icosagon".