h-net: hqc2056
Topological data
| Orbifold symbol | *4444 |
| Transitivity (vertex, edge, ring) | (6,5,2) |
| Vertex degrees | {4,4,3,4,8,4} |
| 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, 16, 64, 124, 552, 1284, 6064, 13392, 61768), (4, 8, 28, 60, 276, 620, 2892, 6444, 29828, 66376), (3, 12, 28, 132, 293, 1360, 3043, 14108, 31356, 144980), (4, 12, 20, 72, 172, 836, 1836, 8464, 18948, 87836), (8, 20, 104, 236, 1096, 2432, 11224, 24980, 115576), (4, 28, 68, 328, 732, 3380, 7500, 34640, 77124)] |
| Delaney-Dress Symbol | <2056.2:12:2 4 6 8 10 12,1 3 4 7 9 8 11 12,1 2 5 6 7 8 9 10 11 12:4 8,4 4 3 4 8 4> |
| Dual net | hqc1964 |
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) |
|---|---|---|---|---|---|---|---|---|
|
sqc5037 | P-4m2 | 115 | tetragonal | {4,4,3,4,8,4} | 12 | (6,5) | |
|
sqc4951 | I-4 | 82 | tetragonal | {4,4,3,4,8,4} | 12 | (6,6) | |
|
sqc4952 | I-4m2 | 119 | tetragonal | {4,4,3,4,8,4} | 12 | (6,5) | |
|
sqc5038 | I-4m2 | 119 | tetragonal | {4,4,3,4,8,4} | 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 |
|---|---|---|---|---|---|---|---|---|
 |
UQC5846 | *4444 | (6,5,2) | {4,4,3,4,8,4} | {4.4.4.4}{4.8.8.4}{4.8.8}{8.8.8.... |
sqc5037
|
sqc4951
|
sqc4952
|
 |
UQC5847 | *4444 | (6,5,2) | {4,4,3,4,8,4} | {4.4.4.4}{4.8.8.4}{4.8.8}{8.8.8.... |
sqc3930
|
sqc4951
|
sqc5038
|
