h-net: hqc2075


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{6,4,3,12,4}
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}{4.4.4.4}
Vertex coordination sequence [(6, 12, 60, 102, 330, 516, 1716, 2730, 9078, 14412), (4, 16, 28, 108, 174, 576, 912, 3030, 4812, 15990), (3, 6, 24, 42, 153, 243, 807, 1281, 4257, 6759), (12, 24, 84, 132, 444, 708, 2352, 3732, 12396, 19680), (4, 22, 40, 138, 216, 720, 1146, 3810, 6048, 20088)]
Delaney-Dress Symbol <2075.2:12:2 4 6 8 10 12,1 3 4 7 12 9 11,1 2 5 6 7 8 9 10 11 12:4 4,6 4 3 12 4>
Dual net hqc1956

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 sqc14172 Pn-3m 224 cubic {6,4,3,12,4} 68 (5,5)
Full image sqc14175 Ia-3 206 cubic {6,4,3,12,4} 68 (5,6)
Full image sqc14171 Fd-3m 227 cubic {6,4,3,12,4} 68 (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 UQC5435 *266 (5,5,2) {6,4,3,12,4} {4.4.4.4.4.4}{4.4.4.4}{4.4.4}{4.... Snet sqc14172 Snet sqc14175 Snet sqc14171

Symmetry-lowered hyperbolic tilings