h-net: hqc27
Topological data
| Orbifold symbol | *24(12) |
| Transitivity (vertex, edge, ring) | (2,1,1) |
| Vertex degrees | {4,12} |
| 2D vertex symbol | {4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4} |
| Vertex coordination sequence | [(4, 40, 76, 720, 1364, 12920, 24476, 231840), (12, 24, 228, 432, 4092, 7752, 73428)] |
| Delaney-Dress Symbol | <27.1:2:2,1 2,1 2:4,4 12> |
| Dual net | hqc24 |
Derived s-nets
s-nets with faithful topology
7 records listed.| Image | s-net name | Other names | Space group | Space group number | Symmetry class | Vertex degree(s) | Vertices per primitive unit cell | Transitivity (Vertex, Edge) |
|---|---|---|---|---|---|---|---|---|
|
sqc867 | ftw | Pm-3m | 221 | cubic | {4,12} | 4 | (2,1) |
|
sqc908 | R-3m | 166 | rhombohedral | {4,12} | 4 | (2,2) | |
|
sqc4938 | I41/a | 88 | tetragonal | {4,12,4} | 8 | (3,3) | |
|
sqc4939 | I-42d | 122 | tetragonal | {4,12,4} | 8 | (3,3) | |
|
sqc875 | P-42m | 111 | tetragonal | {4,4,12} | 4 | (3,2) | |
|
sqc5081 | scp | I41/amd | 141 | tetragonal | {4,12,4} | 8 | (3,2) |
s-nets with edge collapse
Derived U-tilings
3 records listed.| Image | U-tiling name | PGD Subgroup | Transitivity (Vert,Edge,Face) | Vertex Degree | Vertex Symbol | P net | G net | D net |
|---|---|---|---|---|---|---|---|---|
 |
UQC87 | *2626 | (4,4,1) | {4,12,12,4} | {4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.... |
sqc867
|
sqc908
|
sqc867
|
 |
UQC3293 | *2244b | (3,2,2) | {4,12,4} | {4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.... |
sqc246
|
sqc4938
|
sqc5081
|
 |
UQC3294 | *2244a | (3,2,2) | {4,12,4} | {4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.... | No s‑net |
sqc4939
|
sqc875
|
