h-net: hqc1894


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,12,4}
2D vertex symbol {5.3.3.5}{5.5.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}{5.5.5.5}
Vertex coordination sequence [(4, 14, 22, 32, 86, 122, 172, 362, 614, 864), (4, 14, 18, 42, 72, 112, 202, 350, 542, 924), (12, 12, 24, 72, 96, 120, 288, 492, 636, 1200), (4, 12, 36, 32, 60, 180, 216, 284, 708, 1136)]
Delaney-Dress Symbol <1894.2:11:1 3 5 7 9 11,2 10 6 9 8 11,1 4 5 6 7 8 9 10 11:5 3,4 4 12 4>
Dual net hqc1759

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 sqc14051 Im-3m 229 cubic {4,4,12,4} 58 (4,5)
Full image sqc14496 Ia-3d 230 cubic {4,4,12,4} 116 (4,6)
Full image sqc14050 Pn-3m 224 cubic {4,12,4,4} 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 UQC5098 *246 (4,5,2) {4,4,12,4} {5.3.3.5}{5.5.3.3}{3.3.3.3.3.3.3... Snet sqc14051 Snet sqc14496 Snet sqc14050

Symmetry-lowered hyperbolic tilings