h-net: hqc2117


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,4,4,4,6}
2D vertex symbol {6.6.6.6}{6.3.3.6}{6.6.3.3}{3.3.3.3}{6.6.6.6.6.6}
Vertex coordination sequence [(4, 12, 8, 20, 52, 40, 44, 124, 184, 164), (4, 6, 18, 30, 28, 48, 84, 114, 142, 234), (4, 8, 20, 24, 28, 56, 92, 96, 148, 248), (4, 4, 16, 36, 20, 40, 104, 104, 112, 248), (6, 18, 12, 18, 54, 72, 66, 126, 204, 270)]
Delaney-Dress Symbol <2117.2:12:2 4 6 8 10 12,1 3 11 7 10 9 12,1 2 5 6 7 8 9 10 11 12:6 3,4 4 4 4 6>
Dual net hqc2008

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 sqc14248 Im-3m 229 cubic {4,4,4,6,4} 70 (5,5)
Full image sqc14519 Ia-3d 230 cubic {4,4,4,4,6} 140 (5,6)
Full image sqc14256 Pn-3m 224 cubic {4,4,4,6,4} 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 UQC5498 *246 (5,5,2) {4,4,4,4,6} {6.6.6.6}{6.3.3.6}{6.6.3.3}{3.3.... Snet sqc14248 Snet sqc14519 Snet sqc14256

Symmetry-lowered hyperbolic tilings