h-net: hqc1226


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,4,4,3}
2D vertex symbol {5.5.5.5}{5.4.4.5}{5.4.5.4}{4.4.4}
Vertex coordination sequence [(4, 12, 22, 36, 62, 112, 192, 332, 568, 1008), (4, 9, 18, 32, 60, 99, 178, 298, 532, 895), (4, 10, 18, 36, 58, 106, 176, 320, 532, 946), (3, 6, 15, 30, 51, 90, 153, 276, 459, 804)]
Delaney-Dress Symbol <1226.2:9:1 3 5 7 9,2 4 5 8 7 9,1 2 3 6 7 8 9:5 4,4 4 4 3>
Dual net hqc1033

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 sqc13748 Pm-3m 221 cubic {4,4,4,3} 56 (4,4)
Full image sqc13747 I4132 214 cubic {4,4,4,3} 56 (4,5)
Full image sqc11709 P4232 208 cubic {4,4,4,3} 28 (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 UQC4352 *2223 (4,4,2) {4,4,4,3} {5.5.5.5}{5.4.4.5}{5.4.5.4}{4.4.4} Snet sqc13748 Snet sqc13747 Snet sqc11709

Symmetry-lowered hyperbolic tilings