h-net: hqc905


Topological data

Orbifold symbol*344
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{4,3,3,4}
2D vertex symbol {4.4.4.4}{4.12.4}{4.12.12}{12.12.12.12}
Vertex coordination sequence [(4, 4, 4, 12, 24, 36, 44, 68, 116, 180), (3, 5, 8, 14, 24, 35, 54, 83, 128, 190), (3, 6, 10, 16, 25, 40, 61, 94, 140, 222), (4, 8, 12, 16, 28, 48, 72, 100, 164, 264)]
Delaney-Dress Symbol <905.2:8:2 4 6 8,1 3 4 5 7 8,1 2 5 6 7 8:4 12,4 3 3 4>
Dual net hqc686

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 sqc13540 Pm-3n 223 cubic {4,3,3,4} 60 (4,3)
Full image sqc13538 I-43d 220 cubic {4,3,3,4} 60 (4,4)
Full image sqc11256 Pm-3m 221 cubic {3,4,3,4} 30 (4,3)

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 UQC4231 *344 (4,3,2) {4,3,3,4} {4.4.4.4}{4.12.4}{4.12.12}{12.12... Snet sqc13540 Snet sqc13538 Snet sqc11256

Symmetry-lowered hyperbolic tilings