h-net: hqc2087


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,4,4,6,6}
2D vertex symbol {6.6.6}{6.6.6.6}{6.3.3.6}{6.3.3.6.3.3}{3.3.3.3.3.3}
Vertex coordination sequence [(3, 9, 21, 48, 81, 177, 327, 720, 1329, 2775), (4, 10, 26, 44, 98, 178, 392, 724, 1524, 2894), (4, 12, 20, 46, 84, 186, 342, 718, 1366, 2848), (6, 10, 24, 44, 100, 182, 382, 724, 1522, 2910), (6, 12, 24, 48, 102, 198, 390, 780, 1560, 3132)]
Delaney-Dress Symbol <2087.2:12:2 4 6 8 10 12,1 3 5 6 9 12 11,1 2 3 4 7 8 9 10 11 12:6 3,3 4 4 6 6>
Dual net hqc1970

Derived s-nets

s-nets with faithful topology

3 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)
Full image sqc12720 P4232 208 cubic {3,4,4,6,6} 32 (5,5)
Full image sqc12712 I213 199 cubic {3,4,4,6,6} 32 (5,6)
Full image sqc12708 F-43m 216 cubic {3,4,4,6,6} 32 (5,5)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5453 *2323 (5,5,2) {3,4,4,6,6} {6.6.6}{6.6.6.6}{6.3.3.6}{6.3.3.... Snet sqc12720 Snet sqc12712 Snet sqc12708

Symmetry-lowered hyperbolic tilings