h-net: hqc1801


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,3,12,12}
2D vertex symbol {3.4.4.3}{3.4.4}{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 [(4, 12, 71, 261, 1065, 3639, 14835, 50685), (3, 12, 58, 257, 852, 3606, 11868, 50226), (12, 66, 228, 966, 3180, 13458, 44292), (12, 60, 258, 852, 3606, 11868, 50226)]
Delaney-Dress Symbol <1801.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,4 3 12 12>
Dual net hqc1666

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 sqc14041 Pn-3m 224 cubic {4,3,12,12} 56 (4,5)
Full image sqc14043 Ia-3 206 cubic {4,3,12,12} 56 (4,6)
Full image sqc14047 Fd-3m 227 cubic {4,3,12,12} 56 (4,5)

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 UQC4929 *266 (4,5,2) {4,3,12,12} {3.4.4.3}{3.4.4}{4.4.4.4.4.4.4.4... Snet sqc14041 Snet sqc14043 Snet sqc14047

Symmetry-lowered hyperbolic tilings