h-net: hqc1525


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,9,6,4}
2D vertex symbol {4.4.4}{4.4.4.4.4.4.4.4.4}{4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(3, 18, 22, 106, 123, 584, 677, 3222, 3738, 17790), (9, 12, 57, 66, 315, 366, 1743, 2022, 9621, 11160), (6, 9, 48, 57, 270, 312, 1482, 1719, 8184, 9495), (4, 22, 26, 124, 144, 686, 796, 3788, 4394, 20910)]
Delaney-Dress Symbol <1525.2:10:2 4 6 8 10,1 2 5 10 7 9,3 4 5 6 7 8 9 10:4 4,3 9 6 4>
Dual net hqc1292

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 sqc12127 P4232 208 cubic {3,9,6,4} 26 (4,4)
Full image sqc12126 I213 199 cubic {3,9,6,4} 26 (4,5)
Full image sqc12125 F-43m 216 cubic {3,9,6,4} 26 (4,4)

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 UQC4681 *2323 (4,4,2) {3,9,6,4} {4.4.4}{4.4.4.4.4.4.4.4.4}{4.4.4... Snet sqc12127 Snet sqc12126 Snet sqc12125

Symmetry-lowered hyperbolic tilings