Decagram (geometry)

Regular decagram
A regular decagram
TypeRegular star polygon
Edges and vertices10
Schläfli symbol{10/3}
t{5/3}
Coxeter–Dynkin diagrams
Symmetry groupDihedral (D10)
Internal angle (degrees)72°
Propertiesstar, cyclic, equilateral, isogonal, isotoxal
Dual polygonself
Decagrams are common in Islamic geometric patterns, here in a Quran from the 14th century.

In geometry, a decagram is a 10-point star polygon. There is one regular decagram, containing the vertices of a regular decagon, but connected by every third point. Its Schläfli symbol is {10/3}.[1]

The name decagram combines a numeral prefix, deca-, with the Greek suffix -gram. The -gram suffix derives from γραμμῆς (grammēs) meaning a line.[2]

  1. ^ Barnes, John (2012), Gems of Geometry, Springer, pp. 28–29, ISBN 9783642309649.
  2. ^ γραμμή, Henry George Liddell, Robert Scott, A Greek-English Lexicon, on Perseus