h-net: hqc1337


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,5,4)
Vertex degrees{6,4}
2D vertex symbol {4.4.4.3.4.4}{4.4.3.3}
Vertex coordination sequence [(4, 10, 28, 71, 162, 372, 858, 1968, 4518, 10380), (6, 18, 42, 96, 222, 510, 1170, 2688, 6174, 14178)]
Delaney-Dress Symbol <1337.2:10:1 2 3 4 6 8 9 10,1 3 5 10 7 9,2 4 7 8 9 10:4 4 4 3,6 4>
Dual net hqc1506

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 sqc3243 P4/mmm 123 tetragonal {6,4} 8 (2,5)
Full image sqc9765 I4/mmm 139 tetragonal {4,6} 16 (2,5)
Full image sqc12954 I41/acd 142 tetragonal {4,6} 32 (2,6)
Full image sqc12983 I41/acd 142 tetragonal {4,6} 32 (2,6)
Full image sqc9526 P42/nnm 134 tetragonal {6,4} 16 (2,5)
Full image sqc9781 P42/nnm 134 tetragonal {4,6} 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 UQC1770 *2224 (2,5,4) {6,4} {4.4.4.3.4.4}{4.4.3.3} Snet sqc3243 Snet sqc12954 Snet sqc9526
Tiling details UQC1771 *2224 (2,5,4) {6,4} {4.4.4.3.4.4}{4.4.3.3} Snet sqc9765 Snet sqc12983 Snet sqc9781

Symmetry-lowered hyperbolic tilings