h-net: hqc2345


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(6,6,2)
Vertex degrees{4,4,3,4,4,4}
2D vertex symbol {4.4.4.4}{4.5.5.4}{4.5.5}{5.5.5.5}{5.5.5.5}{5.5.5.5}
Vertex coordination sequence [(4, 8, 16, 32, 52, 96, 164, 288, 496, 872), (4, 8, 16, 28, 54, 90, 160, 276, 486, 834), (3, 8, 14, 28, 47, 86, 147, 260, 448, 782), (4, 12, 20, 36, 64, 112, 192, 340, 580, 1020), (4, 12, 24, 40, 68, 120, 212, 360, 632, 1084), (4, 10, 20, 34, 60, 104, 184, 318, 548, 962)]
Delaney-Dress Symbol <2345.2:14:2 4 6 8 10 12 14,1 3 4 7 14 9 11 13,1 2 5 6 7 8 9 10 11 12 13 14:4 5,4 4 3 4 4 4>
Dual net hqc2276

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 sqc11996 I4/mmm 139 tetragonal {3,4,4,4,4,4} 30 (6,6)
Full image sqc12016 I4/mmm 139 tetragonal {4,4,4,3,4,4} 30 (6,6)
Full image sqc13795 I41/acd 142 tetragonal {4,4,3,4,4,4} 60 (6,7)
Full image sqc13796 I41/acd 142 tetragonal {4,4,3,4,4,4} 60 (6,7)
Full image sqc12005 P42/nnm 134 tetragonal {3,4,4,4,4,4} 30 (6,6)
Full image sqc12017 P42/nnm 134 tetragonal {4,4,3,4,4,4} 30 (6,6)

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 UQC5879 *2224 (6,6,2) {4,4,3,4,4,4} {4.4.4.4}{4.5.5.4}{4.5.5}{5.5.5.... Snet sqc11996 Snet sqc13796 Snet sqc12017
Tiling details UQC5880 *2224 (6,6,2) {4,4,3,4,4,4} {4.4.4.4}{4.5.5.4}{4.5.5}{5.5.5.... Snet sqc12016 Snet sqc13795 Snet sqc12005

Symmetry-lowered hyperbolic tilings