h-net: hqc1212


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{8,3,3,6}
2D vertex symbol {5.5.5.5.5.5.5.5}{5.4.5}{5.4.4}{4.4.4.4.4.4}
Vertex coordination sequence [(8, 36, 108, 292, 764, 2004, 5244, 13732, 35948, 94116), (3, 10, 36, 106, 289, 764, 2004, 5244, 13732, 35948), (3, 7, 16, 51, 155, 421, 1108, 2898, 7592, 19870), (6, 6, 6, 30, 114, 318, 828, 2178, 5688, 14910)]
Delaney-Dress Symbol <1212.2:9:1 3 5 7 9,2 4 5 6 8 9,1 2 3 6 7 8 9:5 4,8 3 3 6>
Dual net hqc974

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 sqc13640 Im-3m 229 cubic {3,3,6,8} 58 (4,4)
Full image sqc14450 Ia-3d 230 cubic {8,3,3,6} 116 (4,5)
Full image sqc13605 Pn-3m 224 cubic {3,3,6,8} 58 (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 UQC4330 *246 (4,4,2) {8,3,3,6} {5.5.5.5.5.5.5.5}{5.4.5}{5.4.4}{... Snet sqc13640 Snet sqc14450 Snet sqc13605

Symmetry-lowered hyperbolic tilings