h-net: hqc1631


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{4,12}
2D vertex symbol {4.4.3.4}{3.4.4.3.4.4.3.4.4.3.4.4}
Vertex coordination sequence [(12, 52, 168, 540, 1764, 5744, 18684, 60804), (4, 15, 60, 210, 688, 2240, 7295, 23739, 77248)]
Delaney-Dress Symbol <1631.2:11:1 2 3 4 5 7 9 10 11,2 4 6 7 10 11,3 10 5 8 9 11:4 4 3 4,4 12>
Dual net hqc1833

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 sqc10221 I4/mmm 139 tetragonal {4,12} 18 (2,5)
Full image sqc13207 I41/acd 142 tetragonal {12,4,4} 36 (3,6)
Full image sqc13208 I41/acd 142 tetragonal {12,4,4} 36 (3,6)
Full image sqc10114 P42/nnm 134 tetragonal {4,12} 18 (2,5)
Full image sqc10197 P42/nnm 134 tetragonal {4,12} 18 (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 UQC1965 *2224 (2,5,4) {12,4} {4.4.3.4}{3.4.4.3.4.4.3.4.4.3.4.4} Snet sqc3925 Snet sqc13207 Snet sqc10114
Tiling details UQC1966 *2224 (2,5,4) {12,4} {4.4.3.4}{3.4.4.3.4.4.3.4.4.3.4.4} Snet sqc10221 Snet sqc13208 Snet sqc10197

Symmetry-lowered hyperbolic tilings