h-net: hqc1897


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,8,4,4}
2D vertex symbol {5.3.3.5}{5.5.3.3.5.5.3.3}{3.3.3.3}{5.5.5.5}
Vertex coordination sequence [(4, 14, 26, 87, 141, 409, 731, 1947, 3725, 9395), (8, 12, 52, 68, 244, 368, 1140, 1936, 5404, 9964), (4, 12, 20, 84, 104, 398, 560, 1858, 2972, 8770), (4, 28, 28, 120, 156, 564, 844, 2648, 4452, 12524)]
Delaney-Dress Symbol <1897.2:11:1 3 5 7 9 11,2 10 6 9 8 11,1 4 5 6 7 8 9 10 11:5 3,4 8 4 4>
Dual net hqc1753

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 sqc10480 I4/mmm 139 tetragonal {4,4,8,4} 18 (4,5)
Full image sqc10481 I4/mmm 139 tetragonal {4,4,8,4} 18 (4,5)
Full image sqc13236 I41/acd 142 tetragonal {4,8,4,4} 36 (4,6)
Full image sqc13238 I41/acd 142 tetragonal {4,8,4,4} 36 (4,6)
Full image sqc10454 P42/nnm 134 tetragonal {4,8,4,4} 18 (4,5)
Full image sqc10484 P42/nnm 134 tetragonal {4,4,8,4} 18 (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 UQC5101 *2224 (4,5,2) {4,8,4,4} {5.3.3.5}{5.5.3.3.5.5.3.3}{3.3.3... Snet sqc10481 Snet sqc13238 Snet sqc10484
Tiling details UQC5102 *2224 (4,5,2) {4,8,4,4} {5.3.3.5}{5.5.3.3.5.5.3.3}{3.3.3... Snet sqc10480 Snet sqc13236 Snet sqc10454

Symmetry-lowered hyperbolic tilings