h-net: hqc64


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(2,2,2)
Vertex degrees{3,4}
2D vertex symbol {3.12.12}{12.12.12.12}
Vertex coordination sequence [(3, 5, 12, 18, 30, 70, 97, 155, 358, 507), (4, 8, 8, 24, 48, 44, 128, 244, 228, 668)]
Delaney-Dress Symbol <64.2:4:1 2 4,1 3 4,2 3 4:3 12,3 4>
Dual net hqc68

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 sqc11246 Pm-3n 223 cubic {3,4} 30 (2,2)
Full image sqc11236 I-43d 220 cubic {3,4} 30 (2,2)
Full image sqc5594 P-43m 215 cubic {3,4} 15 (2,2)

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 UQC90 *344 (2,2,2) {3,4} {3.12.12}{12.12.12.12} Snet sqc11246 Snet sqc11236 Snet sqc5594

Symmetry-lowered hyperbolic tilings