Template:A7 honeycombs

This honeycomb is one of 29 unique uniform honeycombs constructed by the ${\tilde {A}}_{7}$ Coxeter group, grouped by their extended symmetry of rings within the regular octagon diagram:

A7 honeycombs
Octagon symmetry	Extended symmetry	Extended diagram	Extended group	Honeycombs
a1	[3[8]]		${\tilde {A}}_{7}$
d2	<[3[8]]>		${\tilde {A}}_{7}$×21	1
p2	[[3[8]]]		${\tilde {A}}_{7}$×22	2
d4	<2[3[8]]>		${\tilde {A}}_{7}$×41
p4	[2[3[8]]]		${\tilde {A}}_{7}$×42
d8	[4[3[8]]]		${\tilde {A}}_{7}$×8
r16	[8[3[8]]]		${\tilde {A}}_{7}$×16	3