h-net: hqc1437


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,4,5)
Vertex degrees{6,4}
2D vertex symbol {4.12.4.4.4.12}{12.4.4.4}
Vertex coordination sequence [(4, 13, 48, 166, 550, 1845, 6238, 21028, 70762), (6, 22, 72, 240, 814, 2748, 9242, 31110, 104800)]
Delaney-Dress Symbol <1437.2:10:1 2 4 6 7 8 9 10,1 3 4 7 9 8 10,2 5 6 8 10:4 12 4 4 4,6 4>
Dual net hqc1562

Derived s-nets

s-nets with faithful topology

6 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 sqc3537 P-4m2 115 tetragonal {4,6} 8 (2,4)
Full image sqc3664 P4/mmm 123 tetragonal {6,4} 8 (2,4)
Full image sqc3498 I-4 82 tetragonal {4,6} 8 (2,5)
Full image sqc3665 I-4 82 tetragonal {4,6} 8 (2,5)
Full image sqc3483 I-4m2 119 tetragonal {4,6} 8 (2,4)
Full image sqc3724 I4/mmm 139 tetragonal {6,4} 8 (2,3)

s-nets with edge collapse

No items to display.

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 UQC2430 *4444 (2,4,5) {6,4} {4.12.4.4.4.12}{12.4.4.4} Snet sqc3664 Snet sqc3665 Snet sqc3483
Tiling details UQC2431 *4444 (2,4,5) {6,4} {4.12.4.4.4.12}{12.4.4.4} Snet sqc3537 Snet sqc3498 Snet sqc3724

Symmetry-lowered hyperbolic tilings