h-net: hqc663


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(2,3,3)
Vertex degrees{3,12}
2D vertex symbol {12.6.3}{3.6.3.6.3.6.3.6.3.6.3.6}
Vertex coordination sequence [(12, 12, 18, 60, 72, 174, 294, 408, 1050, 1512), (3, 13, 22, 33, 73, 120, 232, 416, 671, 1351)]
Delaney-Dress Symbol <663.2:8:1 2 3 5 7 8,2 4 5 8 7,3 8 6 7:12 3 6,3 12>
Dual net hqc890

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 sqc13309 Pn-3m 224 cubic {12,3} 52 (2,3)
Full image sqc13311 Ia-3 206 cubic {12,3,3} 52 (3,4)
Full image sqc13313 Fd-3m 227 cubic {12,3} 52 (2,3)

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 UQC897 *266 (2,3,3) {12,3} {12.6.3}{3.6.3.6.3.6.3.6.3.6.3.6} Snet sqc13309 Snet sqc13311 Snet sqc13313

Symmetry-lowered hyperbolic tilings