Template:A8 honeycombs

This honeycomb is one of 45 unique uniform honeycombs constructed by the ${\tilde {A}}_{8}$ Coxeter group. The symmetry can be multiplied by the ring symmetry of the Coxeter diagrams:

A8 honeycombs
Enneagon symmetry	Symmetry	Extended diagram	Extended group	Honeycombs
a1	[3[9]]		${\tilde {A}}_{8}$
i2	[[3[9]]]		${\tilde {A}}_{8}$×2	1 2
i6	[3[3[9]]]		${\tilde {A}}_{8}$×6
r18	[9[3[9]]]		${\tilde {A}}_{8}$×18	3