h-net: hqc1563


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{4,16,3,4,4}
2D vertex symbol {4.4.4.4}{4.6.6.4.4.6.6.4.4.6.6.4.4.6.6.4}{4.6.6}{6.6.6.6}{6.6.6.6}
Vertex coordination sequence [(4, 56, 112, 1264, 2404, 27424, 52476), (16, 32, 360, 688, 7856, 15024, 171184), (3, 32, 62, 714, 1363, 15516, 29677, 338258), (4, 60, 112, 1252, 2404, 27456, 52476), (4, 8, 112, 216, 2404, 4592, 52476)]
Delaney-Dress Symbol <1563.2:10:2 4 6 8 10,1 3 4 7 9 8 10,1 2 5 6 7 8 9 10:4 6,4 16 3 4 4>
Dual net hqc1436

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 sqc3313 I-42m 121 tetragonal {4,16,3,4} 8 (4,4)
Full image sqc3312 I-4m2 119 tetragonal {4,16,3,4,4} 8 (5,4)

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 UQC5259 *4444 (5,4,2) {4,16,3,4,4} {4.4.4.4}{4.6.6.4.4.6.6.4.4.6.6.... Snet sqc2224 Snet sqc3313 Snet sqc3312
Tiling details UQC5260 *4444 (5,4,2) {4,16,3,4,4} {4.4.4.4}{4.6.6.4.4.6.6.4.4.6.6.... Snet sqc2250 Snet sqc3313 No s‑net

Symmetry-lowered hyperbolic tilings