h-net: hqc2082
Topological data
| Orbifold symbol | *2626 |
| Transitivity (vertex, edge, ring) | (5,5,2) |
| Vertex degrees | {6,4,3,4,12} |
| 2D vertex symbol | {8.8.8.8.8.8}{8.4.4.8}{8.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4.4.4.4.4} |
| Vertex coordination sequence | [(6, 18, 30, 144, 234, 942, 1746, 6864, 12174, 49314), (4, 10, 40, 68, 288, 502, 2012, 3616, 14460, 25666), (3, 15, 28, 107, 195, 784, 1377, 5573, 9904, 39753), (4, 24, 40, 160, 296, 1168, 2068, 8376, 14820, 59608), (12, 18, 78, 150, 564, 1020, 4140, 7242, 29298, 52182)] |
| Delaney-Dress Symbol | <2082.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:8 4,6 4 3 4 12> |
| Dual net | hqc1943 |
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) |
|---|---|---|---|---|---|---|---|---|
|
sqc8563 | R-3m | 166 | rhombohedral | {6,4,3,4,12} | 17 | (5,5) | |
|
sqc8564 | R-3 | 148 | rhombohedral | {6,4,3,4,12} | 17 | (5,6) | |
|
sqc8566 | R-3 | 148 | rhombohedral | {6,4,3,4,12} | 17 | (5,6) | |
|
sqc8943 | R-3m | 166 | rhombohedral | {6,4,3,4,12} | 17 | (5,5) |
s-nets with edge collapse
No items to display.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 |
|---|---|---|---|---|---|---|---|---|
 |
UQC5446 | *2626 | (5,5,2) | {6,4,3,4,12} | {8.8.8.8.8.8}{8.4.4.8}{8.4.4}{4.... |
sqc8563
|
sqc8564
|
sqc8943
|
 |
UQC5447 | *2626 | (5,5,2) | {6,4,3,4,12} | {8.8.8.8.8.8}{8.4.4.8}{8.4.4}{4.... |
sqc8943
|
sqc8566
|
sqc8563
|
