h-net: hqc2058


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{3,4,3,8,8}
2D vertex symbol {4.4.4}{4.4.4.4}{4.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(3, 6, 18, 66, 159, 480, 1092, 3291, 7485, 22557), (4, 9, 30, 78, 243, 556, 1676, 3812, 11488, 26128), (3, 10, 27, 89, 211, 640, 1456, 4388, 9980, 30076), (8, 32, 80, 244, 556, 1676, 3812, 11488, 26128, 78740), (8, 28, 92, 212, 640, 1456, 4388, 9980, 30076, 68404)]
Delaney-Dress Symbol <2058.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,3 4 3 8 8>
Dual net hqc1951

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 sqc14192 Pm-3n 223 cubic {3,4,3,8,8} 68 (5,5)
Full image sqc14193 I-43d 220 cubic {3,4,3,8,8} 68 (5,6)
Full image sqc12634 P-43m 215 cubic {8,3,4,3,8} 34 (5,5)

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 UQC5409 *344 (5,5,2) {3,4,3,8,8} {4.4.4}{4.4.4.4}{4.4.4}{4.4.4.4.... Snet sqc14192 Snet sqc14193 Snet sqc12634

Symmetry-lowered hyperbolic tilings