h-net: hqc1575


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,8,6,4}
2D vertex symbol {4.4.4.4}{4.3.3.4.4.3.3.4}{4.3.3.4.3.3}{3.3.3.3}
Vertex coordination sequence [(4, 24, 36, 128, 220, 744, 1276, 4352, 7428, 25368), (8, 16, 56, 96, 328, 560, 1912, 3264, 11144, 19024), (6, 20, 38, 128, 218, 748, 1274, 4352, 7430, 25364), (4, 16, 36, 96, 220, 560, 1272, 3268, 7428, 19020)]
Delaney-Dress Symbol <1575.2:10:2 4 6 8 10,1 3 4 7 10 9,1 2 5 6 7 8 9 10:4 3,4 8 6 4>
Dual net hqc1366

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 sqc9722 I4/mmm 139 tetragonal {4,8,6,4} 14 (4,4)
Full image sqc9723 I4/mmm 139 tetragonal {6,4,4,8} 14 (4,4)
Full image sqc12969 I41/acd 142 tetragonal {4,8,6,4} 28 (4,5)
Full image sqc12970 I41/acd 142 tetragonal {4,8,6,4} 28 (4,5)
Full image sqc9712 P42/nnm 134 tetragonal {6,4,4,8} 14 (4,4)
Full image sqc9729 P42/nnm 134 tetragonal {4,8,6,4} 14 (4,4)

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 UQC4717 *2224 (4,4,2) {4,8,6,4} {4.4.4.4}{4.3.3.4.4.3.3.4}{4.3.3... Snet sqc9722 Snet sqc12970 Snet sqc9729
Tiling details UQC4718 *2224 (4,4,2) {4,8,6,4} {4.4.4.4}{4.3.3.4.4.3.3.4}{4.3.3... Snet sqc9723 Snet sqc12969 Snet sqc9712

Symmetry-lowered hyperbolic tilings