Template:A6 honeycombs

This honeycomb is one of 17 unique uniform honeycombs^[1] constructed by the ${\tilde{A}}_{6}$ 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]]	Template:CDD	${\tilde{A}}_{6}$	Template:CDD Template:CDD
i2	Template:Brackets	Template:CDD	${\tilde{A}}_{6}$ ×2	Template:CDD₁ Template:CDD Template:CDD Template:CDD Template:CDD Template:CDD Template:CDD Template:CDD Template:CDD Template:CDD₂ Template:CDD Template:CDD Template:CDD Template:CDD
r14	[7[3^[7]]]	Template:CDD	${\tilde{A}}_{6}$ ×14	Template:CDD₃

References

↑ * Template:Mathworld, Template:OEIS el 18-1 cases, skipping one with zero marks