h-net: hqc10


Topological data

Orbifold symbol*266
Transitivity (vertex, edge, ring)(1,1,1)
Vertex degrees{6}
2D vertex symbol {6.6.6.6.6.6}
Vertex coordination sequence [(6, 30, 144, 690, 3306, 15840, 75894)]
Delaney-Dress Symbol <10.1:1:1,1,1:6,6>
Dual net hqc10 (self dual)

Derived s-nets

s-nets with faithful topology

10 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 sqc780 P42/nnm 134 tetragonal {6} 4 (1,2)
Full image sqc947 hxg Pn-3m 224 cubic {6} 4 (1,1)
Full image sqc1 pcu Pm-3m 221 cubic {6} 1 (1,1)
Full image sqc34 sxa Cmma 67 orthorhombic {6} 2 (1,3)
Full image sqc779 Ibca 73 orthorhombic {6} 4 (1,3)
Full image sqc888 R-3m 166 rhombohedral {6,6} 4 (2,2)
Full image sqc26 msw P42/nnm 134 tetragonal {6} 2 (1,2)
Full image sqc768 I41/amd 141 tetragonal {6} 4 (1,2)
Full image sqc889 crs Fd-3m 227 cubic {6} 4 (1,1)
Full image sqc895 snw I41/amd 141 tetragonal {6} 4 (1,2)

s-nets with edge collapse


Derived U-tilings

5 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5 *266 (1,1,1) {6} {6.6.6.6.6.6} Snet sqc947 Snet sqc1 Snet sqc889
Tiling details UQC6 *2626 (2,2,2) {6,6} {6.6.6.6.6.6}{6.6.6.6.6.6} Snet sqc889 Snet sqc888 Snet sqc947
Tiling details UQC267 *222222a (2,3,2) {6,6} {6.6.6.6.6.6}{6.6.6.6.6.6} Snet sqc780 Snet sqc779 Snet sqc768
Tiling details UQC268 *222222a (2,3,2) {6,6} {6.6.6.6.6.6}{6.6.6.6.6.6} Snet sqc5 Snet sqc34 Snet sqc895
Tiling details UQC269 *222222b (2,3,2) {6,6} {6.6.6.6.6.6}{6.6.6.6.6.6} Snet sqc13 Snet sqc34 Snet sqc26

Symmetry-lowered hyperbolic tilings