h-net: hqc757


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(3,4,2)
Vertex degrees{8,3,4}
2D vertex symbol {3.5.5.3.3.5.5.3}{3.5.5}{5.5.5.5}
Vertex coordination sequence [(8, 28, 84, 240, 696, 2012, 5812, 16800, 48552), (3, 14, 43, 130, 374, 1090, 3144, 9084, 26260, 75890), (4, 8, 36, 112, 332, 948, 2744, 7932, 22924, 66248)]
Delaney-Dress Symbol <757.2:8:1 3 5 6 8,2 3 6 7 8,1 4 5 6 7 8:3 5,8 3 4>
Dual net hqc711

Derived s-nets

s-nets with faithful topology

6 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 sqc7635 I4/mmm 139 tetragonal {4,8,3} 14 (3,4)
Full image sqc7824 I4/mmm 139 tetragonal {3,8,4} 14 (3,4)
Full image sqc12320 I41/acd 142 tetragonal {8,3,4} 28 (3,5)
Full image sqc12353 I41/acd 142 tetragonal {8,3,4} 28 (3,5)
Full image sqc7864 P42/nnm 134 tetragonal {8,3,4} 14 (3,4)
Full image sqc7871 P42/nnm 134 tetragonal {8,3,4} 14 (3,4)

s-nets with edge collapse

No items to display.

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 UQC3556 *2224 (3,4,2) {8,3,4} {3.5.5.3.3.5.5.3}{3.5.5}{5.5.5.5} Snet sqc7635 Snet sqc12320 Snet sqc7871
Tiling details UQC3557 *2224 (3,4,2) {8,3,4} {3.5.5.3.3.5.5.3}{3.5.5}{5.5.5.5} Snet sqc7824 Snet sqc12353 Snet sqc7864

Symmetry-lowered hyperbolic tilings