h-net: hqc1954


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,5,5)
Vertex degrees{4,4}
2D vertex symbol {8.4.12.8}{12.4.4.4}
Vertex coordination sequence [(4, 9, 22, 60, 152, 367, 898, 2236, 5562, 13749), (4, 11, 28, 68, 168, 419, 1038, 2564, 6338, 15687)]
Delaney-Dress Symbol <1954.2:12:1 2 3 4 5 7 9 10 11 12,2 4 6 7 10 11 12,3 10 5 8 9 12:8 8 12 4 4,4 4>
Dual net hqc2068

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 sqc5285 P-4m2 115 tetragonal {4,4} 12 (2,5)
Full image sqc5532 P-4m2 115 tetragonal {4,4} 12 (2,5)
Full image sqc5284 I-4 82 tetragonal {4,4,4} 12 (3,6)
Full image sqc5533 I-4 82 tetragonal {4,4,4} 12 (3,6)
Full image sqc5537 I-4m2 119 tetragonal {4,4} 12 (2,5)
Full image sqc5554 I-4m2 119 tetragonal {4,4} 12 (2,5)

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 UQC2609 *4444 (2,5,5) {4,4} {8.4.12.8}{12.4.4.4} Snet sqc5532 Snet sqc5533 Snet sqc5537
Tiling details UQC2610 *4444 (2,5,5) {4,4} {8.4.12.8}{12.4.4.4} Snet sqc5285 Snet sqc5284 Snet sqc5554

Symmetry-lowered hyperbolic tilings