h-net: hqc908


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{4,3,12,4}
2D vertex symbol {4.4.4.4}{4.16.4}{4.16.16.4.16.16.4.16.16.4.16.16}{16.16.16.16}
Vertex coordination sequence [(4, 4, 40, 84, 792, 1524, 13848, 26724, 244196), (3, 23, 44, 416, 804, 7320, 14124, 129023), (12, 24, 220, 424, 3868, 7464, 68172), (4, 44, 84, 748, 1444, 13228, 25524, 233000)]
Delaney-Dress Symbol <908.2:8:2 4 6 8,1 3 4 5 7 8,1 2 5 6 7 8:4 16,4 3 12 4>
Dual net hqc692

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 sqc1826 I-4m2 119 tetragonal {4,3,12,4} 7 (4,3)
Full image sqc1824 I-4m2 119 tetragonal {4,3,12,4} 7 (4,3)
Full image sqc1910 I-4m2 119 tetragonal {3,12,4,4} 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 UQC4234 *4444 (4,3,2) {4,3,12,4} {4.4.4.4}{4.16.4}{4.16.16.4.16.1... Snet sqc1016 Snet sqc1826 Snet sqc1910
Tiling details UQC4235 *4444 (4,3,2) {4,3,12,4} {4.4.4.4}{4.16.4}{4.16.16.4.16.1... No s‑net Snet sqc1826 Snet sqc1824

Symmetry-lowered hyperbolic tilings