Template:A4 honeycombs

This honeycomb is one of seven unique uniform honeycombs constructed by the ${\tilde{A}}_4$ Coxeter group. The symmetry can be multiplied by the symmetry of rings in the Coxeter–Dynkin diagrams:

A4 honeycombs
Pentagon symmetry	Extended symmetry	Extended diagram	Extended group	Honeycomb diagrams
a1	[3[5]]	Template:CDD	${\tilde{A}}_4$	(None)
i2	Template:Brackets	Template:CDD	${\tilde{A}}_4$×2	Template:CDD 1,Template:CDD 2,Template:CDD 3, Template:CDD 4,Template:CDD 5,Template:CDD 6
r10	[5[3[5]]]	Template:CDD	${\tilde{A}}_4$×10	Template:CDD 7