h-net: hqc605


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,5,3)
Vertex degrees{4,4}
2D vertex symbol {4.4.4.4}{4.8.8.4}
Vertex coordination sequence [(4, 8, 14, 28, 58, 116, 228, 448, 884, 1748), (4, 10, 22, 44, 86, 170, 336, 664, 1312, 2590)]
Delaney-Dress Symbol <605.2:8:1 2 3 5 6 7 8,2 4 6 8,1 3 4 5 7 8:4 4 8,4 4>
Dual net hqc749

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 sqc7740 I4/mmm 139 tetragonal {4,4} 16 (2,5)
Full image sqc8102 I4/mmm 139 tetragonal {4,4} 16 (2,5)
Full image sqc12344 I41/acd 142 tetragonal {4,4} 32 (2,5)
Full image sqc12450 I41/acd 142 tetragonal {4,4} 32 (2,5)
Full image sqc1752 cdn P42/mmc 131 tetragonal {4,4} 8 (2,5)
Full image sqc8067 P42/nnm 134 tetragonal {4,4} 16 (2,5)

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 UQC707 *2224 (2,5,3) {4,4} {4.4.4.4}{4.8.8.4} Snet sqc7740 Snet sqc12344 Snet sqc1752
Tiling details UQC708 *2224 (2,5,3) {4,4} {4.4.4.4}{4.8.8.4} Snet sqc8102 Snet sqc12450 Snet sqc8067

Symmetry-lowered hyperbolic tilings