h-net: hqc1253


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,3,6,6}
2D vertex symbol {5.4.4.5}{5.5.4}{4.4.4.4.4.4}{5.5.5.5.5.5}
Vertex coordination sequence [(4, 10, 22, 38, 68, 114, 206, 368, 658, 1104), (3, 10, 18, 34, 55, 106, 183, 328, 558, 1016), (6, 12, 24, 48, 78, 132, 246, 432, 732, 1356), (6, 12, 18, 30, 66, 114, 210, 330, 606, 1116)]
Delaney-Dress Symbol <1253.2:9:1 3 5 7 9,2 8 6 5 7 9,1 4 5 6 7 8 9:5 4,4 3 6 6>
Dual net hqc1067

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 sqc13700 Pn-3m 224 cubic {4,3,6,6} 56 (4,4)
Full image sqc13684 Ia-3 206 cubic {4,3,6,6} 56 (4,5)
Full image sqc13685 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 UQC4407 *266 (4,4,2) {4,3,6,6} {5.4.4.5}{5.5.4}{4.4.4.4.4.4}{5.... Snet sqc13700 Snet sqc13684 Snet sqc13685

Symmetry-lowered hyperbolic tilings