h-net: hqc1320


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,4,5)
Vertex degrees{6,16}
2D vertex symbol {4.8.3.3.3.8}{3.3.4.3.3.3.4.3.3.3.4.3.3.3.4.3}
Vertex coordination sequence [(16, 124, 880, 6268, 44756, 319628), (6, 41, 301, 2158, 15404, 109986)]
Delaney-Dress Symbol <1320.2:10:1 2 3 4 6 8 9 10,1 3 5 6 7 9 10,2 4 7 8 10:4 8 3 3 4,6 16>
Dual net hqc1555

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 sqc3105 I-42m 121 tetragonal {16,6} 5 (2,5)
Full image sqc3197 I-42m 121 tetragonal {16,6} 5 (2,5)
Full image sqc3103 I-4m2 119 tetragonal {16,6} 5 (2,4)

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 UQC2398 *4444 (2,4,5) {6,16} {4.8.3.3.3.8}{3.3.4.3.3.3.4.3.3.... Snet sqc2231 Snet sqc3197 No s‑net
Tiling details UQC2399 *4444 (2,4,5) {6,16} {4.8.3.3.3.8}{3.3.4.3.3.3.4.3.3.... Snet sqc1630 Snet sqc3105 Snet sqc3103

Symmetry-lowered hyperbolic tilings