h-net: hqc1577


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,12,3,8}
2D vertex symbol {4.4.4.4}{4.3.3.4.4.3.3.4.4.3.3.4}{4.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 36, 40, 208, 244, 1204, 1432, 7008, 8356, 40836), (12, 18, 90, 108, 528, 630, 3078, 3672, 17940, 21402), (3, 22, 39, 136, 229, 794, 1335, 4628, 7781, 26974), (8, 32, 44, 204, 248, 1200, 1436, 7004, 8360, 40832)]
Delaney-Dress Symbol <1577.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,4 12 3 8>
Dual net hqc1383

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 sqc13836 Pm-3n 223 cubic {4,12,3,8} 44 (4,4)
Full image sqc13837 I-43d 220 cubic {4,12,3,8} 44 (4,5)
Full image sqc12116 P-43m 215 cubic {3,8,4,12} 22 (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 UQC4721 *344 (4,4,2) {4,12,3,8} {4.4.4.4}{4.3.3.4.4.3.3.4.4.3.3.... Snet sqc13836 Snet sqc13837 Snet sqc12116

Symmetry-lowered hyperbolic tilings