h-net: hqc1856


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{8,4,3,12}
2D vertex symbol {5.5.5.5.5.5.5.5}{5.3.3.5}{5.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(8, 40, 124, 320, 848, 2212, 5800, 15176, 39740), (4, 16, 36, 121, 334, 883, 2309, 6044, 15829, 41431), (3, 11, 14, 64, 205, 539, 1415, 3697, 9691, 25355), (12, 6, 30, 126, 354, 918, 2400, 6300, 16464, 43146)]
Delaney-Dress Symbol <1856.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,8 4 3 12>
Dual net hqc1729

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 sqc14081 Im-3m 229 cubic {12,3,4,8} 58 (4,5)
Full image sqc14497 Ia-3d 230 cubic {8,4,3,12} 116 (4,6)
Full image sqc14044 Pn-3m 224 cubic {3,4,8,12} 58 (4,5)

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 UQC5042 *246 (4,5,2) {8,4,3,12} {5.5.5.5.5.5.5.5}{5.3.3.5}{5.3.3... Snet sqc14081 Snet sqc14497 Snet sqc14044

Symmetry-lowered hyperbolic tilings