h-net: hqc1515


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,5,2)
Vertex degrees{4,4,8,8,4}
2D vertex symbol {7.7.3.3}{3.3.3.3}{7.7.7.7.7.7.7.7}{7.7.7.7.7.7.7.7}{7.7.7.7}
Vertex coordination sequence [(4, 10, 52, 218, 1060, 4752, 23206, 102584), (4, 4, 28, 144, 548, 2948, 12284, 63840), (8, 40, 144, 776, 3272, 16912, 70248), (8, 40, 216, 872, 4624, 18960, 99368), (4, 28, 148, 768, 3044, 16196, 66664)]
Delaney-Dress Symbol <1515.2:10:1 6 3 5 8 10,2 4 5 7 9 10,3 2 4 5 6 7 8 9 10:7 3,4 4 8 8 4>
Dual net hqc1262

Derived s-nets

s-nets with faithful topology

3 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 sqc3316 I-4m2 119 tetragonal {4,8,4,8,4} 8 (5,5)
Full image sqc3310 I-4m2 119 tetragonal {4,8,4,8,4} 8 (5,5)
Full image sqc3336 I-4m2 119 tetragonal {4,8,4,8,4} 8 (5,5)

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 UQC5219 *4444 (5,5,2) {4,4,8,8,4} {7.7.3.3}{3.3.3.3}{7.7.7.7.7.7.7... No s‑net Snet sqc3316 Snet sqc3336
Tiling details UQC5220 *4444 (5,5,2) {4,4,8,8,4} {7.7.3.3}{3.3.3.3}{7.7.7.7.7.7.7... Snet sqc2574 Snet sqc3316 Snet sqc3310

Symmetry-lowered hyperbolic tilings