h-net: hqc1161


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,3,6,6}
2D vertex symbol {3.6.6.3}{3.6.6}{6.6.6.6.6.6}{6.6.6.6.6.6}
Vertex coordination sequence [(4, 8, 28, 34, 58, 138, 196, 318, 774, 1046), (3, 8, 19, 36, 41, 130, 189, 260, 647, 1064), (6, 18, 12, 54, 102, 72, 270, 570, 432, 1446), (6, 12, 12, 30, 90, 78, 210, 426, 444, 1128)]
Delaney-Dress Symbol <1161.2:9:1 3 5 7 9,2 3 6 8 7 9,1 4 5 6 7 8 9:3 6,4 3 6 6>
Dual net hqc1076

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 sqc13735 Pn-3m 224 cubic {4,3,6,6} 56 (4,4)
Full image sqc13690 Ia-3 206 cubic {4,3,6,6} 56 (4,5)
Full image sqc13691 Fd-3m 227 cubic {4,3,6,6} 56 (4,4)

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 UQC4309 *266 (4,4,2) {4,3,6,6} {3.6.6.3}{3.6.6}{6.6.6.6.6.6}{6.... Snet sqc13735 Snet sqc13690 Snet sqc13691

Symmetry-lowered hyperbolic tilings