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]]	Template:CDD	${\tilde{A}}_7$
d2	<[3[8]]>	Template:CDD	${\tilde{A}}_7$×21	Template:CDD Template:CDD Template:CDD Template:CDD1 Template:CDD Template:CDD Template:CDD
p2	Template:Brackets	Template:CDD	${\tilde{A}}_7$×22	Template:CDD 2 Template:CDD Template:CDD Template:CDD Template:CDD Template:CDD
d4	<2[3[8]]>	Template:CDD	${\tilde{A}}_7$×41
p4	[2[3[8]]]	Template:CDD	${\tilde{A}}_7$×42
d8	[4[3[8]]]	Template:CDD	${\tilde{A}}_7$×8	Template:CDD
r16	[8[3[8]]]	Template:CDD	${\tilde{A}}_7$×16	Template:CDD3