h-net: hqc2057
Topological data
| Orbifold symbol | *4444 |
| Transitivity (vertex, edge, ring) | (6,5,2) |
| Vertex degrees | {4,4,3,8,4,4} |
| 2D vertex symbol | {4.4.4.4}{4.8.8.4}{4.8.8}{8.8.8.8.8.8.8.8}{8.8.8.8}{8.8.8.8} |
| Vertex coordination sequence | [(4, 8, 32, 96, 412, 1144, 4412, 12064, 46696), (4, 12, 32, 132, 368, 1444, 3964, 15360, 42084), (3, 8, 24, 64, 259, 720, 2821, 7736, 29960, 82104), (8, 24, 104, 288, 1104, 3016, 11672, 32000, 124272), (4, 28, 84, 328, 892, 3420, 9356, 36312, 99604), (4, 8, 20, 68, 188, 780, 2156, 8348, 22868, 88624)] |
| Delaney-Dress Symbol | <2057.2:12:2 4 6 8 10 12,1 3 4 7 11 9 10 12,1 2 5 6 7 8 9 10 11 12:4 8,4 4 3 8 4 4> |
| Dual net | hqc1966 |
Derived s-nets
s-nets with faithful topology
4 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) |
|---|---|---|---|---|---|---|---|---|
|
sqc5035 | P-4m2 | 115 | tetragonal | {4,4,3,8,4,4} | 12 | (6,5) | |
|
sqc4948 | I-4 | 82 | tetragonal | {4,4,3,8,4,4} | 12 | (6,6) | |
|
sqc4945 | I-4m2 | 119 | tetragonal | {4,4,3,8,4,4} | 12 | (6,5) | |
|
sqc5034 | I-4m2 | 119 | tetragonal | {4,4,3,8,4,4} | 12 | (6,5) |
s-nets with edge collapse
Derived U-tilings
2 records listed.| Image | U-tiling name | PGD Subgroup | Transitivity (Vert,Edge,Face) | Vertex Degree | Vertex Symbol | P net | G net | D net |
|---|---|---|---|---|---|---|---|---|
 |
UQC5848 | *4444 | (6,5,2) | {4,4,3,8,4,4} | {4.4.4.4}{4.8.8.4}{4.8.8}{8.8.8.... |
sqc3929
|
sqc4948
|
sqc5034
|
 |
UQC5849 | *4444 | (6,5,2) | {4,4,3,8,4,4} | {4.4.4.4}{4.8.8.4}{4.8.8}{8.8.8.... |
sqc5035
|
sqc4948
|
sqc4945
|
