h-net: hqc684


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(2,3,4)
Vertex degrees{4,4}
2D vertex symbol {3.3.12.3}{3.12.4.12}
Vertex coordination sequence [(4, 5, 12, 21, 30, 58, 97, 142, 241, 426), (4, 8, 12, 21, 40, 62, 97, 171, 275, 434)]
Delaney-Dress Symbol <684.2:8:1 2 4 6 7 8,1 3 4 5 7 8,2 5 6 8:3 3 12 4,4 4>
Dual net hqc893

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 sqc13484 Pm-3n 223 cubic {4,4} 48 (2,3)
Full image sqc13483 I-43d 220 cubic {4,4} 48 (2,4)
Full image sqc11128 P-43m 215 cubic {4,4} 24 (2,3)

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 UQC1377 *344 (2,3,4) {4,4} {3.3.12.3}{3.12.4.12} Snet sqc13484 Snet sqc13483 Snet sqc11128

Symmetry-lowered hyperbolic tilings