h-net: hqc500


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(3,3,2)
Vertex degrees{9,3,3}
2D vertex symbol {3.8.3.3.8.3.3.8.3}{3.8.8}{8.8.8}
Vertex coordination sequence [(9, 24, 60, 141, 396, 1053, 2754, 7014, 18363, 48126), (3, 15, 37, 106, 251, 685, 1771, 4690, 12061, 31581), (3, 6, 39, 96, 237, 558, 1545, 4116, 10779, 27498)]
Delaney-Dress Symbol <500.2:7:1 3 5 7,2 3 4 6 7,1 4 5 6 7:3 8,9 3 3>
Dual net hqc377

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 sqc9989 P4232 208 cubic {9,3,3} 20 (3,3)
Full image sqc9993 I213 199 cubic {9,3,3} 20 (3,4)
Full image sqc9995 F-43m 216 cubic {9,3,3} 20 (3,3)

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 UQC3383 *2323 (3,3,2) {9,3,3} {3.8.3.3.8.3.3.8.3}{3.8.8}{8.8.8} Snet sqc9989 Snet sqc9993 Snet sqc9995

Symmetry-lowered hyperbolic tilings