Decagram (geometry)

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}.

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

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

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