h-net: hqc1458


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,3,4}
2D vertex symbol {5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5.5}
Vertex coordination sequence [(4, 12, 24, 44, 80, 148, 272, 504, 928, 1704), (4, 10, 20, 36, 68, 124, 230, 422, 778, 1432), (3, 9, 16, 31, 57, 108, 195, 361, 662, 1221), (4, 8, 16, 28, 60, 108, 196, 356, 664, 1216)]
Delaney-Dress Symbol <1458.2:10:1 3 5 7 8 10,2 4 5 8 9 10,1 2 3 6 7 8 9 10:5 5,4 4 3 4>
Dual net hqc1412

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 sqc9611 I4/mmm 139 tetragonal {4,3,4,4} 22 (4,5)
Full image sqc9917 I4/mmm 139 tetragonal {4,3,4,4} 22 (4,5)
Full image sqc12958 I41/acd 142 tetragonal {4,4,3,4} 44 (4,6)
Full image sqc13017 I41/acd 142 tetragonal {4,4,3,4} 44 (4,6)
Full image sqc9612 P42/nnm 134 tetragonal {4,3,4,4} 22 (4,5)
Full image sqc9929 P42/nnm 134 tetragonal {3,4,4,4} 22 (4,5)

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 UQC4461 *2224 (4,5,2) {4,4,3,4} {5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5.5} Snet sqc9917 Snet sqc13017 Snet sqc9612
Tiling details UQC4462 *2224 (4,5,2) {4,4,3,4} {5.5.5.5}{5.5.5.5}{5.5.5}{5.5.5.5} Snet sqc9611 Snet sqc12958 Snet sqc9929

Symmetry-lowered hyperbolic tilings