Template:A6 honeycombs

This honeycomb is one of 17 unique uniform honeycombs constructed by the [math]\displaystyle{ {\tilde{A}}_6 }[/math] Coxeter group, grouped by their extended symmetry of the Coxeter–Dynkin diagrams:

A6 honeycombs
Heptagon symmetry	Extended symmetry	Extended diagram	Extended group	Honeycombs
a1	[3[7]]		[math]\displaystyle{ {\tilde{A}}_6 }[/math]
i2	[[3[7]]]		[math]\displaystyle{ {\tilde{A}}_6 }[/math]×2	1 2
r14	[7[3[7]]]		[math]\displaystyle{ {\tilde{A}}_6 }[/math]×14	3