h-net: hqc1524


Topological data

Orbifold symbol*2223
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{3,9,4,4}
2D vertex symbol {4.4.4}{4.4.4.4.4.4.4.4.4}{4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(3, 16, 19, 71, 76, 270, 284, 1008, 1060, 3762), (9, 12, 45, 48, 171, 180, 639, 672, 2385, 2508), (4, 6, 28, 32, 114, 120, 426, 448, 1590, 1672), (4, 18, 20, 72, 76, 270, 284, 1008, 1060, 3762)]
Delaney-Dress Symbol <1524.2:10:2 4 6 8 10,1 2 5 10 7 9,3 4 5 6 7 8 9 10:4 4,3 9 4 4>
Dual net hqc1288

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 sqc13852 Pm-3m 221 cubic {3,9,4,4} 56 (4,4)
Full image sqc13853 I4132 214 cubic {3,9,4,4} 56 (4,5)
Full image sqc12128 P4232 208 cubic {4,3,4,9} 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 UQC4680 *2223 (4,4,2) {3,9,4,4} {4.4.4}{4.4.4.4.4.4.4.4.4}{4.4.4... Snet sqc13852 Snet sqc13853 Snet sqc12128

Symmetry-lowered hyperbolic tilings