h-net: hqc685


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(2,3,4)
Vertex degrees{4,4}
2D vertex symbol {3.12.3.12}{12.3.4.3}
Vertex coordination sequence [(4, 8, 13, 20, 40, 66, 95, 172, 284, 436), (4, 7, 12, 24, 36, 59, 108, 163, 258, 468)]
Delaney-Dress Symbol <685.2:8:1 2 4 6 7 8,1 3 4 5 7 8,2 5 6 8:3 12 3 4,4 4>
Dual net hqc894

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 sqc13489 Pm-3n 223 cubic {4,4} 48 (2,3)
Full image sqc13485 I-43d 220 cubic {4,4} 48 (2,4)
Full image sqc11138 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 UQC1379 *344 (2,3,4) {4,4} {3.12.3.12}{12.3.4.3} Snet sqc13489 Snet sqc13485 Snet sqc11138

Symmetry-lowered hyperbolic tilings