h-net: hqc616


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,4,3)
Vertex degrees{5,3}
2D vertex symbol {4.3.12.3.4}{3.12.12}
Vertex coordination sequence [(3, 8, 17, 28, 51, 104, 199, 350, 633, 1208), (5, 10, 16, 32, 66, 121, 212, 395, 754, 1392)]
Delaney-Dress Symbol <616.2:8:1 2 3 5 7 8,2 4 5 6 8,1 3 6 7 8:4 3 12,5 3>
Dual net hqc790

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 sqc7840 I4/mmm 139 tetragonal {3,5} 16 (2,4)
Full image sqc7994 I4/mmm 139 tetragonal {5,3} 16 (2,4)
Full image sqc12355 I41/acd 142 tetragonal {3,5} 32 (2,5)
Full image sqc12412 I41/acd 142 tetragonal {3,5} 32 (2,5)
Full image sqc1662 P42/mmc 131 tetragonal {5,3} 8 (2,4)
Full image sqc8007 P42/nnm 134 tetragonal {5,3} 16 (2,4)

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 UQC758 *2224 (2,4,3) {5,3} {4.3.12.3.4}{3.12.12} Snet sqc7840 Snet sqc12355 Snet sqc1662
Tiling details UQC759 *2224 (2,4,3) {5,3} {4.3.12.3.4}{3.12.12} Snet sqc7994 Snet sqc12412 Snet sqc8007

Symmetry-lowered hyperbolic tilings