This honeycomb is one of 29 unique uniform honeycombs [1] constructed by the 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]] | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
| |
d2
![]() |
<[3[8]]> | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
×21 |
|
p2
![]() |
[[3[8]]] | ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
×22 | |
d4
![]() |
<2[3[8]]> | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
×41 |
|
p4
![]() |
[2[3[8]]] | ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
×42 |
|
d8
![]() |
[4[3[8]]] | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
×8 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
r16
![]() |
[8[3[8]]] | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
×16 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
This honeycomb is one of 29 unique uniform honeycombs [1] constructed by the 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]] | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
| |
d2
![]() |
<[3[8]]> | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
×21 |
|
p2
![]() |
[[3[8]]] | ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
×22 | |
d4
![]() |
<2[3[8]]> | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
×41 |
|
p4
![]() |
[2[3[8]]] | ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
×42 |
|
d8
![]() |
[4[3[8]]] | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
×8 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
r16
![]() |
[8[3[8]]] | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
×16 | ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |