h-net: hqc25


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(2,1,1)
Vertex degrees{4,6}
2D vertex symbol {4.4.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(4, 16, 28, 96, 164, 560, 956, 3264, 5572, 19024), (6, 12, 42, 72, 246, 420, 1434, 2448, 8358, 14268)]
Delaney-Dress Symbol <25.1:2:2,1 2,1 2:4,4 6>
Dual net hqc20

Derived s-nets

s-nets with faithful topology

6 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 sqc5430 epc I4/mmm 139 tetragonal {4,4,6} 10 (3,2)
Full image sqc5432 she Im-3m 229 cubic {6,4} 10 (2,1)
Full image sqc11065 I41/acd 142 tetragonal {4,6,4} 20 (3,3)
Full image sqc11070 gar Ia-3d 230 cubic {4,6} 20 (2,1)
Full image sqc5374 epb P42/nnm 134 tetragonal {4,4,6} 10 (3,2)
Full image sqc5433 toc Pn-3m 224 cubic {6,4} 10 (2,1)

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
Tiling details UQC49 *246 (2,1,1) {4,6} {4.4.4.4}{4.4.4.4.4.4} Snet sqc5432 Snet sqc11070 Snet sqc5433
Tiling details UQC3292 *2224 (3,2,2) {4,6,4} {4.4.4.4}{4.4.4.4.4.4}{4.4.4.4} Snet sqc5430 Snet sqc11065 Snet sqc5374

Symmetry-lowered hyperbolic tilings