Math Wiki

An Octadecagon is an 18-sided polygon with 18 angles.

Petrie polygons[]

The regular octadecagon is the Petrie polygon for a number of higher-dimensional polytopes, shown in these skew orthogonal projections from Coxeter planes:

A17
17-simplex
BC9
9-orthoplex

Rectified 9-orthoplex

Birectified 9-orthoplex

Trirectified 9-orthoplex

Quadrirectified 9-cube

Trirectified 9-cube

Birectified 9-cube

Rectified 9-cube

9-cube
D10
t8(171)

t7(171)

t6(171)

t5(171)

t4(171)

t3(171)

t2(171)

t1(171)

10-demicube
(171)
E7
(321)

t1(321)

t2(321)

(231)

t1(231)

t1(132)

(132)