h-net: hqc1986


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{6,3}
2D vertex symbol {4.8.4.12.4.8}{4.8.12}
Vertex coordination sequence [(6, 21, 64, 190, 564, 1689, 5076, 15242, 45722), (3, 8, 27, 87, 267, 799, 2382, 7134, 21413, 64272)]
Delaney-Dress Symbol <1986.2:12:1 2 3 4 6 8 9 10 11 12,1 3 5 12 7 9 11,2 4 7 8 10 12:4 8 4 12 8,6 3>
Dual net hqc2099

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 sqc4869 P-4m2 115 tetragonal {6,3} 12 (2,5)
Full image sqc4879 I-4 82 tetragonal {6,3,3} 12 (3,6)
Full image sqc5186 I-4 82 tetragonal {6,3,3} 12 (3,6)
Full image sqc4884 I-4m2 119 tetragonal {6,3} 12 (2,5)
Full image sqc5187 I-4m2 119 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 UQC2647 *4444 (2,5,5) {6,3} {4.8.4.12.4.8}{4.8.12} Snet sqc4869 Snet sqc4879 Snet sqc4884
Tiling details UQC2648 *4444 (2,5,5) {6,3} {4.8.4.12.4.8}{4.8.12} Snet sqc4616 Snet sqc5186 Snet sqc5187

Symmetry-lowered hyperbolic tilings