h-net: hqc1988


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{6,3}
2D vertex symbol {4.8.16.3.16.8}{16.8.3}
Vertex coordination sequence [(6, 21, 64, 188, 555, 1658, 4972, 14888, 44517), (3, 7, 26, 85, 261, 773, 2288, 6824, 20439, 61194)]
Delaney-Dress Symbol <1988.2:12:1 2 3 4 6 8 9 10 11 12,1 3 5 12 7 9 11,2 4 7 8 10 12:4 8 16 3 8,6 3>
Dual net hqc2101

Derived s-nets

s-nets with faithful topology

5 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 sqc4870 P4/mmm 123 tetragonal {3,6} 12 (2,5)
Full image sqc4878 I-4 82 tetragonal {6,3,3} 12 (3,6)
Full image sqc5183 I-4 82 tetragonal {6,3,3} 12 (3,6)
Full image sqc4883 I-4m2 119 tetragonal {6,3} 12 (2,5)
Full image sqc5188 I4/mmm 139 tetragonal {6,3} 12 (2,5)

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 UQC2651 *4444 (2,5,5) {6,3} {4.8.16.3.16.8}{16.8.3} Snet sqc4870 Snet sqc4878 Snet sqc4883
Tiling details UQC2652 *4444 (2,5,5) {6,3} {4.8.16.3.16.8}{16.8.3} Snet sqc4615 Snet sqc5183 Snet sqc5188

Symmetry-lowered hyperbolic tilings