h-net: hqc876


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(4,3,2)
Vertex degrees{3,12,4,4}
2D vertex symbol {8.6.6}{8.6.6.8.6.6.8.6.6.8.6.6}{6.6.6.6}{6.6.6.6}
Vertex coordination sequence [(3, 25, 56, 485, 1059, 9032, 19677, 168011), (12, 28, 236, 512, 4380, 9548, 81492), (4, 8, 84, 192, 1604, 3480, 29804, 64976), (4, 44, 96, 804, 1748, 14952, 32588, 278156)]
Delaney-Dress Symbol <876.2:8:2 4 6 8,1 2 5 7 6 8,3 4 5 6 7 8:8 6,3 12 4 4>
Dual net hqc701

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 sqc1843 P4/mmm 123 tetragonal {3,12,4,4} 7 (4,3)
Full image sqc1825 I-4 82 tetragonal {3,12,4,4} 7 (4,4)
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 UQC4211 *4444 (4,3,2) {3,12,4,4} {8.6.6}{8.6.6.8.6.6.8.6.6.8.6.6}... Snet sqc1843 Snet sqc1825 No s‑net
Tiling details UQC4212 *4444 (4,3,2) {3,12,4,4} {8.6.6}{8.6.6.8.6.6.8.6.6.8.6.6}... Snet sqc1029 Snet sqc1825 Snet sqc1910

Symmetry-lowered hyperbolic tilings