Wallpaper groups
|
Order
|
Coxeter
|
IUC
|
Orbifold
|
[∞,2,∞,2], ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/b/be/CDel_infin.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/b/be/CDel_infin.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
|
p2gg |
22x |
∞2 |
[∞+,2+,∞+,2]
|
p1 |
o |
2∞2 |
[∞+,2,∞+,2]
|
p11g |
xx |
2∞2 |
[∞+,(2,∞)+,2]
|
c11m |
*x |
2∞2 |
[∞+,2+,∞,2]
|
p2 |
2222 |
4∞2 |
[(∞,2,∞)+,2]
|
p2gm |
22* |
4∞2 |
[(∞,2)+,∞,2]
|
p11m |
** |
4∞2 |
[∞+,2,∞,2]
|
c2mm |
2*22 |
4∞2 |
[∞,2+,∞,2]
|
p2mm |
*2222 |
8∞2 |
[∞,2,∞,2]
|
p2gg |
22x |
1/2*∞2 |
[∞+,2+,∞+,2+]
|
p1 |
o |
∞2 |
[∞+,2,∞+,2+]
|
p11g |
xx |
∞2 |
[∞+,(2,∞)+,2+]
|
c11m |
*x |
∞2 |
[∞+,2+,∞,2+]
|
p2 |
2222 |
2∞2 |
[(∞,2,∞)+,2+]
|
p2gm |
22* |
2∞2 |
[(∞,2)+,∞,2+]
|
p11m |
** |
2∞2 |
[∞+,2,∞,2+]
|
c2mm |
2*22 |
2∞2 |
[∞,2+,∞,2+]
|
p2mm |
*2222 |
4∞2 |
[∞,2,∞,2+]
|
p2mm |
*2222 |
4∞2 |
[∞,2,∞,2]+
|
c11m |
*x |
∞2 |
[∞+,2+,(∞,2)+]
|
p2gm |
22* |
2∞2 |
[(∞,2)+,(∞,2)+]
|
p11m |
** |
2∞2 |
[∞+,2,(∞,2)+]
|
c2mm |
2*22 |
2∞2 |
[∞,2+,(∞,2)+]
|
p2mm |
*2222 |
4∞2 |
[∞,2,(∞,2)+]
|
p11m |
** |
2∞2 |
[∞+,(2,∞,2)+]
|
p2mm |
*2222 |
4∞2 |
[∞,(2,∞,2)+]
|
|
Wallpaper groups
|
Order
|
Coxeter
|
IUC
|
Orbifold
|
[4,4,2], ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/8/8c/CDel_4.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
|
p4 |
442 |
∞2 |
[4+,4+,2+]
|
p4 |
442 |
2∞2 |
[4+,4+,2]
|
p4 |
442 |
2∞2 |
[4,4+,2+]
|
p4 |
442 |
2∞2 |
[(4,4)+,2+]
|
p4 |
442 |
4∞2 |
[(4,4)+,2]
|
p4gm |
4*2 |
4∞2 |
[4+,4,2]
|
p4mm |
(*442) |
4∞2 |
[4,4,2+]
|
p4mm |
(*442) |
8∞2 |
[4,4,2]
|
[3[3],2], ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/a/a1/CDel_split1.png) ![](//upload.wikimedia.org/wikipedia/commons/4/43/CDel_branch.png) ![](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
|
p3 |
333 |
∞2 |
[1+,6,3+,2+]
|
p3 |
333 |
2∞2 |
[1+,6,3+,2]
|
p3 |
333 |
2∞2 |
[1+,6,(3,2)+]
|
p31m |
3*3 |
2∞2 |
[6+,(3,2)+]
|
p3 |
333 |
4∞2 |
[1+,6,3,2]+
|
p3m1 |
*333 |
4∞2 |
[1+,6,3,2]
|
p31m |
3*3 |
4∞2 |
[6,3+,2]
|
p31m |
3*3 |
4∞2 |
[6,(3,2)+]
|
[6,3,2], ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/3/32/CDel_6.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/c/c3/CDel_3.png) ![](//upload.wikimedia.org/wikipedia/commons/5/5e/CDel_node.png) ![](//upload.wikimedia.org/wikipedia/commons/1/16/CDel_2.png)
|
p6mm |
*632 |
∞2 |
[(6,3)+,2+]
|
p6 |
632 |
2∞2 |
[(6,3)+,2)
|
p6mm |
*632 |
2∞2 |
[6,3,2+]
|
p6mm |
*632 |
2∞2 |
[6,3,2]+
|
p6mm |
*632 |
4∞2 |
[6,3,2]
|
|