Octagram
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Octagram
| Regular octagram | |
|---|---|
 A regular octagram |
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| Type | Regular polygon |
| Edges and vertices | 8 |
| Schläfli symbol | {8/3} t{4/3} |
| Coxeter–Dynkin diagram |       |
| Symmetry group | Dihedral (D8) |
| Internal angle (degrees) | 45° |
| Dual polygon | self |
| Properties | star, cyclic, equilateral, isogonal, isotoxal |
In geometry, an octagram is an eight-sided star polygon.
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Contents
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Geometry
In general, an octagram is any self-intersecting octagon (8-sided polygon).
The regular octagram is labeled by the Schläfli symbol {8/3}, which means an 8-sided star, connected by every 3rd point.
There is one compound star figure, {8/2}, composed of two squares, called the Star of Lakshmi.
The symbol Rub el Hizb is a Unicode glyph ۞ at U+06DE.
See also
Usage
- Auseklis – usage of regular octagram by Latvians
- Selburose – usage of regular octagram in Norwegian design
Stars generally
References
- Grünbaum, B. and G.C. Shephard; Tilings and Patterns, New York: W. H. Freeman & Co., (1987), ISBN 0-7167-1193-1.
- Grünbaum, B.; Polyhedra with Hollow Faces, Proc of NATO-ASI Conference on Polytopes ... etc. (Toronto 1993), ed T. Bisztriczky et al., Kluwer Academic (1994) pp. 43–70.
External links
- Weisstein, Eric W., "Octagram" from MathWorld.
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