h-net: hqc1666


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{4,3}
2D vertex symbol {12.4.3.12}{3.4.4}
Vertex coordination sequence [(3, 4, 8, 14, 22, 36, 53, 78, 121, 182), (4, 7, 11, 18, 29, 45, 66, 99, 151, 228)]
Delaney-Dress Symbol <1666.2:11:1 2 3 4 5 7 9 10 11,2 4 6 7 10 11,3 10 5 8 9 11:12 12 3 4,4 3>
Dual net hqc1801

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 sqc14130 Pn-3m 224 cubic {3,4} 72 (2,5)
Full image sqc14128 Ia-3 206 cubic {3,4,4} 72 (3,6)
Full image sqc14140 Fd-3m 227 cubic {3,4} 72 (2,5)

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 UQC2048 *266 (2,5,4) {3,4} {12.4.3.12}{3.4.4} Snet sqc14130 Snet sqc14128 Snet sqc14140

Symmetry-lowered hyperbolic tilings