h-net: hqc258


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{3,4,6}
2D vertex symbol {6.5.5}{5.5.5.5}{5.5.5.5.5.5}
Vertex coordination sequence [(3, 7, 17, 39, 90, 197, 435, 951, 2093, 4566), (4, 14, 30, 68, 148, 328, 714, 1578, 3424, 7556), (6, 18, 42, 90, 198, 432, 954, 2070, 4566, 9918)]
Delaney-Dress Symbol <258.2:6:1 2 4 6,1 3 5 6,2 3 4 5 6:6 5,3 4 6>
Dual net hqc196

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 sqc12766 Pn-3m 224 cubic {3,4,6} 40 (3,3)
Full image sqc12769 Ia-3 206 cubic {3,4,6} 40 (3,3)
Full image sqc12768 Fd-3m 227 cubic {3,4,6} 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 UQC3275 *266 (3,3,2) {3,4,6} {6.5.5}{5.5.5.5}{5.5.5.5.5.5} Snet sqc12766 Snet sqc12769 Snet sqc12768

Symmetry-lowered hyperbolic tilings