h-net: hqc855


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,6,4,6}
2D vertex symbol {5.5.3.3}{3.3.3.3.3.3}{5.5.5.5}{5.5.5.5.5.5}
Vertex coordination sequence [(4, 8, 18, 42, 102, 206, 474, 986, 2286, 4722), (6, 6, 12, 42, 78, 180, 354, 894, 1716, 4242), (4, 16, 32, 76, 148, 372, 716, 1772, 3424, 8504), (6, 18, 48, 90, 222, 432, 1074, 2070, 5136, 9918)]
Delaney-Dress Symbol <855.2:8:1 6 3 5 8,2 4 5 7 8,3 2 4 5 6 7 8:5 3,4 6 4 6>
Dual net hqc591

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 sqc13433 Pn-3m 224 cubic {6,4,4,6} 44 (4,4)
Full image sqc13378 Ia-3 206 cubic {6,4,4,6} 44 (4,4)
Full image sqc13379 Fd-3m 227 cubic {6,4,4,6} 44 (4,4)

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 UQC4179 *266 (4,4,2) {4,6,4,6} {5.5.3.3}{3.3.3.3.3.3}{5.5.5.5}{... Snet sqc13433 Snet sqc13378 Snet sqc13379

Symmetry-lowered hyperbolic tilings