h-net: hqc1002


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{3,12}
2D vertex symbol {4.4.6}{6.4.4.6.4.4.6.4.4.6.4.4}
Vertex coordination sequence [(12, 52, 168, 540, 1764, 5744, 18684, 60804), (3, 13, 60, 212, 689, 2240, 7295, 23739, 77248)]
Delaney-Dress Symbol <1002.2:9:1 2 3 5 7 8 9,2 4 5 8 9,3 8 6 7 9:4 6 4,3 12>
Dual net hqc1197

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 sqc2339 P4/mmm 123 tetragonal {3,12} 9 (2,4)
Full image sqc12581 I41/acd 142 tetragonal {12,3,3} 36 (3,5)
Full image sqc12582 I41/acd 142 tetragonal {12,3,3} 36 (3,5)
Full image sqc8399 P42/nnm 134 tetragonal {12,3} 18 (2,4)
Full image sqc8529 P42/nnm 134 tetragonal {12,3} 18 (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 UQC1092 *2224 (2,4,3) {12,3} {4.4.6}{6.4.4.6.4.4.6.4.4.6.4.4} Snet sqc2238 Snet sqc12582 Snet sqc8399
Tiling details UQC1093 *2224 (2,4,3) {12,3} {4.4.6}{6.4.4.6.4.4.6.4.4.6.4.4} Snet sqc2339 Snet sqc12581 Snet sqc8529

Symmetry-lowered hyperbolic tilings