h-net: hqc1861


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{12,4,3,8}
2D vertex symbol {5.5.5.5.5.5.5.5.5.5.5.5}{5.3.3.5}{5.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(12, 78, 318, 1194, 4458, 16638, 62094), (4, 16, 73, 315, 1194, 4458, 16638, 62094), (3, 7, 20, 124, 503, 1884, 7032, 26244, 97944), (8, 4, 36, 208, 796, 2972, 11092, 41396, 154492)]
Delaney-Dress Symbol <1861.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,12 4 3 8>
Dual net hqc1723

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 sqc14039 Im-3m 229 cubic {4,3,8,12} 58 (4,5)
Full image sqc14495 Ia-3d 230 cubic {12,4,3,8} 116 (4,6)
Full image sqc14046 Pn-3m 224 cubic {4,3,8,12} 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 UQC5051 *246 (4,5,2) {12,4,3,8} {5.5.5.5.5.5.5.5.5.5.5.5}{5.3.3.... Snet sqc14039 Snet sqc14495 Snet sqc14046

Symmetry-lowered hyperbolic tilings