h-net: hqc909


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{4,12,3,4}
2D vertex symbol {4.4.4.4}{4.16.4.4.16.4.4.16.4.4.16.4}{4.16.16}{16.16.16.16}
Vertex coordination sequence [(4, 40, 64, 432, 732, 5616, 9372, 69528), (12, 20, 140, 236, 1788, 2988, 22236, 37232), (3, 24, 40, 298, 499, 3726, 6237, 46570), (4, 8, 84, 136, 940, 1588, 12084, 20180, 150020)]
Delaney-Dress Symbol <909.2:8:2 4 6 8,1 3 4 5 7 8,1 2 5 6 7 8:4 16,4 12 3 4>
Dual net hqc693

Derived s-nets

s-nets with faithful topology

4 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 sqc1926 P-4m2 115 tetragonal {4,12,3,4} 7 (4,3)
Full image sqc1825 I-4 82 tetragonal {3,12,4,4} 7 (4,4)
Full image sqc1826 I-4m2 119 tetragonal {4,3,12,4} 7 (4,3)

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 UQC4236 *4444 (4,3,2) {4,12,3,4} {4.4.4.4}{4.16.4.4.16.4.4.16.4.4... Snet sqc1060 Snet sqc1825 No s‑net
Tiling details UQC4237 *4444 (4,3,2) {4,12,3,4} {4.4.4.4}{4.16.4.4.16.4.4.16.4.4... Snet sqc1926 Snet sqc1825 Snet sqc1826

Symmetry-lowered hyperbolic tilings