h-net: hqc1500


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,3,4,4}
2D vertex symbol {6.6.6.6}{6.4.6}{6.6.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 10, 20, 34, 56, 100, 180, 314, 548, 954), (3, 8, 16, 28, 51, 90, 151, 266, 472, 814), (4, 8, 14, 28, 50, 84, 150, 260, 446, 796), (4, 8, 16, 24, 44, 88, 140, 240, 448, 752)]
Delaney-Dress Symbol <1500.2:10:1 3 5 7 9 10,2 4 10 6 8 9,1 2 3 6 7 8 9 10:6 4,4 3 4 4>
Dual net hqc1350

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 sqc9869 I4/mmm 139 tetragonal {4,3,4,4} 22 (4,5)
Full image sqc9921 I4/mmm 139 tetragonal {4,3,4,4} 22 (4,5)
Full image sqc13007 I41/acd 142 tetragonal {4,3,4,4} 44 (4,6)
Full image sqc13008 I41/acd 142 tetragonal {4,3,4,4} 44 (4,6)
Full image sqc9629 P42/nnm 134 tetragonal {3,4,4,4} 22 (4,5)
Full image sqc9901 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 UQC4657 *2224 (4,5,2) {4,3,4,4} {6.6.6.6}{6.4.6}{6.6.4.4}{4.4.4.4} Snet sqc9921 Snet sqc13008 Snet sqc9901
Tiling details UQC4658 *2224 (4,5,2) {4,3,4,4} {6.6.6.6}{6.4.6}{6.6.4.4}{4.4.4.4} Snet sqc9869 Snet sqc13007 Snet sqc9629

Symmetry-lowered hyperbolic tilings