h-net: hqc1604


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,3,8}
2D vertex symbol {12.12.12.12}{12.3.3.12}{12.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 12, 20, 12, 36, 100, 152, 84, 244, 684), (4, 8, 12, 24, 36, 70, 94, 178, 250, 468), (3, 7, 8, 24, 48, 47, 63, 180, 336, 308), (8, 4, 12, 36, 60, 32, 92, 260, 404, 220)]
Delaney-Dress Symbol <1604.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:12 3,4 4 3 8>
Dual net hqc1380

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 sqc13863 Pm-3n 223 cubic {4,4,3,8} 60 (4,4)
Full image sqc13862 I-43d 220 cubic {4,4,3,8} 60 (4,5)
Full image sqc12231 Pm-3m 221 cubic {3,4,4,8} 30 (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 UQC4757 *344 (4,4,2) {4,4,3,8} {12.12.12.12}{12.3.3.12}{12.3.3}... Snet sqc13863 Snet sqc13862 Snet sqc12231

Symmetry-lowered hyperbolic tilings