h-net: hqc890


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,6,12}
2D vertex symbol {12.3.3}{12.3.3.12.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(3, 15, 30, 66, 150, 328, 725, 1559, 3474, 7478), (6, 18, 30, 90, 150, 448, 722, 2126, 3466, 10196), (12, 18, 54, 90, 270, 438, 1284, 2094, 6162, 10038)]
Delaney-Dress Symbol <890.2:8:2 4 6 8,1 2 5 8 7,3 4 5 6 7 8:12 3,3 6 12>
Dual net hqc663

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 sqc13399 Pn-3m 224 cubic {6,3,12} 40 (3,3)
Full image sqc13301 Ia-3 206 cubic {3,6,12} 40 (3,4)
Full image sqc13300 Fd-3m 227 cubic {3,6,12} 40 (3,3)

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 UQC3845 *266 (3,3,2) {3,6,12} {12.3.3}{12.3.3.12.3.3}{3.3.3.3.... Snet sqc13399 Snet sqc13301 Snet sqc13300

Symmetry-lowered hyperbolic tilings