h-net: hqc749


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,5,2)
Vertex degrees{4,4,8}
2D vertex symbol {4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4}
Vertex coordination sequence [(4, 8, 20, 64, 204, 632, 1948, 6016, 18596, 57480), (4, 12, 36, 112, 348, 1076, 3324, 10272, 31748, 98124), (8, 32, 104, 320, 984, 3040, 9400, 29056, 89800)]
Delaney-Dress Symbol <749.2:8:1 3 4 5 7 8,2 4 6 8,1 2 3 5 6 7 8:4 4,4 4 8>
Dual net hqc605

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 sqc7555 I4/mmm 139 tetragonal {4,8,4} 14 (3,5)
Full image sqc12299 I41/acd 142 tetragonal {4,4,8} 28 (3,5)
Full image sqc12343 I41/acd 142 tetragonal {4,4,8} 28 (3,5)
Full image sqc7519 P42/nnm 134 tetragonal {8,4,4} 14 (3,5)
Full image sqc7721 P42/nnm 134 tetragonal {4,8,4} 14 (3,5)

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 UQC3529 *2224 (3,5,2) {4,4,8} {4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4} Snet sqc1505 Snet sqc12343 Snet sqc7721
Tiling details UQC3530 *2224 (3,5,2) {4,4,8} {4.4.4.4}{4.4.4.4}{4.4.4.4.4.4.4.4} Snet sqc7555 Snet sqc12299 Snet sqc7519

Symmetry-lowered hyperbolic tilings