h-net: hqc586


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{5,12}
2D vertex symbol {4.8.4.4.8}{4.4.4.4.4.4.4.4.4.4.4.4}
Vertex coordination sequence [(5, 24, 145, 948, 6335, 42552, 286075), (12, 92, 636, 4304, 28980, 194916)]
Delaney-Dress Symbol <586.2:8:1 2 3 4 6 7 8,1 3 5 7 8,2 4 5 6 8:4 8 4 4,5 12>
Dual net hqc863

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 sqc1596 I-4 82 tetragonal {5,12} 5 (2,4)
Full image sqc1597 I-4 82 tetragonal {5,12} 5 (2,4)
Full image sqc1598 I4/mmm 139 tetragonal {5,12} 5 (2,4)

s-nets with edge collapse


Derived U-tilings

2 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC1349 *4444 (2,4,4) {5,12} {4.8.4.4.8}{4.4.4.4.4.4.4.4.4.4.... Snet sqc1067 Snet sqc1596 Snet sqc1152
Tiling details UQC1350 *4444 (2,4,4) {5,12} {4.8.4.4.8}{4.4.4.4.4.4.4.4.4.4.... Snet sqc756 Snet sqc1597 Snet sqc1598

Symmetry-lowered hyperbolic tilings