h-net: hqc1991


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{6,3}
2D vertex symbol {6.4.4.3.4.4}{4.12.3}
Vertex coordination sequence [(6, 18, 42, 90, 188, 392, 816, 1698, 3534, 7354), (3, 6, 16, 41, 90, 188, 392, 816, 1698, 3534)]
Delaney-Dress Symbol <1991.2:12:1 2 3 4 6 8 9 10 11 12,1 3 5 12 7 9 11,2 4 7 8 10 12:6 4 4 3 12,6 3>
Dual net hqc2104

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 sqc14222 Pn-3m 224 cubic {6,3} 72 (2,5)
Full image sqc14226 Ia-3 206 cubic {6,3,3} 72 (3,6)
Full image sqc14231 Fd-3m 227 cubic {6,3} 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 UQC2655 *266 (2,5,5) {6,3} {6.4.4.3.4.4}{4.12.3} Snet sqc14222 Snet sqc14226 Snet sqc14231

Symmetry-lowered hyperbolic tilings