h-net: hqc2091


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,4,4,3,12}
2D vertex symbol {6.6.6.6}{6.6.6.6}{6.3.3.6}{6.3.3}{3.3.3.3.3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 12, 28, 56, 68, 136, 188, 372, 484, 960), (4, 12, 32, 36, 72, 104, 212, 264, 524, 708), (4, 12, 12, 28, 46, 100, 112, 226, 314, 630), (3, 11, 9, 19, 50, 78, 99, 169, 317, 477), (12, 6, 12, 30, 78, 66, 132, 210, 432, 510)]
Delaney-Dress Symbol <2091.2:12:2 4 6 8 10 12,1 3 5 6 9 12 11,1 2 3 4 7 8 9 10 11 12:6 3,4 4 4 3 12>
Dual net hqc1976

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 sqc14167 Im-3m 229 cubic {3,4,4,4,12} 70 (5,5)
Full image sqc14509 Ia-3d 230 cubic {4,4,4,3,12} 140 (5,6)
Full image sqc14255 Pn-3m 224 cubic {4,3,4,4,12} 70 (5,5)

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 UQC5457 *246 (5,5,2) {4,4,4,3,12} {6.6.6.6}{6.6.6.6}{6.3.3.6}{6.3.... Snet sqc14167 Snet sqc14509 Snet sqc14255

Symmetry-lowered hyperbolic tilings