h-net: hqc329


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(3,3,1)
Vertex degrees{4,8,12}
2D vertex symbol {3.3.3.3}{3.3.3.3.3.3.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 24, 56, 144, 328, 840, 1912, 4896, 11144, 28536), (8, 32, 56, 192, 328, 1120, 1912, 6528, 11144, 38048), (12, 24, 84, 144, 492, 840, 2868, 4896, 16716, 28536)]
Delaney-Dress Symbol <329.1:6:2 4 6,3 6 5,1 2 3 4 5 6:3,4 8 12>
Dual net hqc183

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 sqc12642 Im-3m 229 cubic {8,4,12} 22 (3,3)
Full image sqc14164 Ia-3d 230 cubic {4,8,12} 44 (3,3)
Full image sqc12648 Pn-3m 224 cubic {4,8,12} 22 (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 UQC84 *246 (3,3,1) {4,8,12} {3.3.3.3}{3.3.3.3.3.3.3.3}{3.3.3... Snet sqc12642 Snet sqc14164 Snet sqc12648

Symmetry-lowered hyperbolic tilings