h-net: hqc588


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(2,4,4)
Vertex degrees{5,3}
2D vertex symbol {4.8.16.16.8}{16.4.16}
Vertex coordination sequence [(5, 17, 52, 153, 455, 1374, 4161, 12567, 37880, 114155), (3, 7, 24, 83, 257, 758, 2247, 6765, 20484, 61917)]
Delaney-Dress Symbol <588.2:8:1 2 3 4 6 7 8,1 3 5 7 8,2 4 5 6 8:4 8 16 4,5 3>
Dual net hqc860

Derived s-nets

s-nets with faithful topology

5 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 sqc1743 P4/mmm 123 tetragonal {3,5} 8 (2,4)
Full image sqc1747 I-4 82 tetragonal {5,3} 8 (2,4)
Full image sqc2024 I-4 82 tetragonal {5,3} 8 (2,4)
Full image sqc1750 I-4m2 119 tetragonal {5,3} 8 (2,4)
Full image sqc2029 I4/mmm 139 tetragonal {5,3} 8 (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 UQC1353 *4444 (2,4,4) {5,3} {4.8.16.16.8}{16.4.16} Snet sqc1743 Snet sqc1747 Snet sqc1750
Tiling details UQC1354 *4444 (2,4,4) {5,3} {4.8.16.16.8}{16.4.16} Snet sqc1424 Snet sqc2024 Snet sqc2029

Symmetry-lowered hyperbolic tilings