h-net: hqc1557


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{4,4,8,8,4}
2D vertex symbol {4.4.4.4}{4.6.6.4}{4.6.4.6.4.6.4.6}{6.6.6.6.6.6.6.6}{6.6.6.6}
Vertex coordination sequence [(4, 8, 52, 136, 756, 1952, 10796, 27784, 153932), (4, 22, 54, 302, 780, 4324, 11136, 61682), (8, 20, 108, 276, 1536, 3960, 21936, 56476), (8, 24, 136, 352, 1944, 5000, 27704, 71328), (4, 28, 80, 436, 1116, 6176, 15892, 88076)]
Delaney-Dress Symbol <1557.2:10:2 4 6 8 10,1 3 4 7 6 9 10,1 2 5 6 7 8 9 10:4 6,4 4 8 8 4>
Dual net hqc1334

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 sqc3519 P-4m2 115 tetragonal {4,4,8,8,4} 8 (5,4)
Full image sqc3325 I-4 82 tetragonal {4,4,8,8,4} 8 (5,5)
Full image sqc3324 I-4m2 119 tetragonal {4,4,8,8,4} 8 (5,4)
Full image sqc3518 I-4m2 119 tetragonal {4,4,8,8,4} 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 UQC5250 *4444 (5,4,2) {4,4,8,8,4} {4.4.4.4}{4.6.6.4}{4.6.4.6.4.6.4... Snet sqc2265 Snet sqc3325 Snet sqc3518
Tiling details UQC5251 *4444 (5,4,2) {4,4,8,8,4} {4.4.4.4}{4.6.6.4}{4.6.4.6.4.6.4... Snet sqc3519 Snet sqc3325 Snet sqc3324

Symmetry-lowered hyperbolic tilings