h-net: hqc2005


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(2,6,4)
Vertex degrees{3,6}
2D vertex symbol {6.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(6, 18, 42, 90, 188, 392, 816, 1698, 3534, 7354), (3, 7, 17, 40, 89, 188, 392, 816, 1698, 3534)]
Delaney-Dress Symbol <2005.2:12:1 2 3 5 7 8 9 10 11 12,2 4 10 8 9 12,3 8 6 7 9 11 12:6 4 4 4,3 6>
Dual net hqc2034

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 sqc14227 Pm-3m 221 cubic {6,3} 72 (2,6)
Full image sqc14230 I4132 214 cubic {6,3,3} 72 (3,7)
Full image sqc12730 P4232 208 cubic {6,3} 36 (2,6)

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 UQC2362 *2223 (2,6,4) {6,3} {6.4.4}{4.4.4.4.4.4} Snet sqc14227 Snet sqc14230 Snet sqc12730

Symmetry-lowered hyperbolic tilings