h-net: hqc1416


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{7,3}
2D vertex symbol {4.4.3.4.3.4.4}{4.4.3}
Vertex coordination sequence [(3, 10, 33, 90, 236, 618, 1618, 4236, 11090, 29034), (7, 23, 62, 163, 427, 1118, 2927, 7663, 20062, 52523)]
Delaney-Dress Symbol <1416.2:10:1 2 3 5 7 8 9 10,2 4 10 8 7 9,1 3 6 7 9 10:4 4 3 4,7 3>
Dual net hqc1454

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 sqc9663 I4/mmm 139 tetragonal {3,7} 16 (2,5)
Full image sqc9751 I4/mmm 139 tetragonal {7,3} 16 (2,5)
Full image sqc12951 I41/acd 142 tetragonal {3,7} 32 (2,6)
Full image sqc12979 I41/acd 142 tetragonal {3,7} 32 (2,6)
Full image sqc9516 P42/nnm 134 tetragonal {7,3} 16 (2,5)
Full image sqc9753 P42/nnm 134 tetragonal {7,3} 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 UQC1930 *2224 (2,5,4) {7,3} {4.4.3.4.3.4.4}{4.4.3} Snet sqc9751 Snet sqc12979 Snet sqc9753
Tiling details UQC1931 *2224 (2,5,4) {7,3} {4.4.3.4.3.4.4}{4.4.3} Snet sqc9663 Snet sqc12951 Snet sqc9516

Symmetry-lowered hyperbolic tilings