h-net: hqc1540


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{3,3,3,8,4}
2D vertex symbol {4.4.4}{4.6.4}{4.6.6}{6.6.6.6.6.6.6.6}{6.6.6.6}
Vertex coordination sequence [(3, 3, 3, 18, 42, 168, 315, 1155, 2160, 7917), (3, 4, 14, 31, 131, 250, 917, 1715, 6286, 11755), (3, 10, 19, 81, 159, 588, 1100, 4032, 7540, 27636), (8, 20, 84, 160, 588, 1100, 4032, 7540, 27636, 51680), (4, 28, 60, 224, 420, 1540, 2880, 10556, 19740, 72352)]
Delaney-Dress Symbol <1540.2:10:2 4 6 8 10,1 3 4 5 7 9 10,1 2 5 6 7 8 9 10:4 6,3 3 3 8 4>
Dual net hqc1319

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 sqc13882 Pm-3n 223 cubic {3,3,3,8,4} 68 (5,4)
Full image sqc13885 I-43d 220 cubic {3,3,3,8,4} 68 (5,5)
Full image sqc12110 P-43m 215 cubic {3,3,3,8,4} 34 (5,4)

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 UQC5225 *344 (5,4,2) {3,3,3,8,4} {4.4.4}{4.6.4}{4.6.6}{6.6.6.6.6.... Snet sqc13882 Snet sqc13885 Snet sqc12110

Symmetry-lowered hyperbolic tilings