Octagram

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Regular octagram
Star polygon 8-3.svg
A regular octagram
Type Regular polygon
Edges and vertices 8
Schläfli symbol {8/3}
t{4/3}
Coxeter diagram CDel node 1.pngCDel 8.pngCDel rat.pngCDel d3.pngCDel node.png
CDel node 1.pngCDel 4.pngCDel rat.pngCDel d3.pngCDel node 1.png
Symmetry group Dihedral (D8)
Internal angle (degrees) 45°
Dual polygon self
Properties star, cyclic, equilateral, isogonal, isotoxal
Lengths in a regular octagram

In geometry, an octagram is an eight-sided star polygon.

Geometry[edit]

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, 2{4} (or {8/2} in older writings), composed of two squares, called the Star of Lakshmi.

The symbol Rub el Hizb is a Unicode glyph ۞  at U+06DE.

See also[edit]

Usage[edit]

Stars generally[edit]

References[edit]

  • 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[edit]