h-net: hqc2228


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(5,6,2)
Vertex degrees{4,4,3,8,4}
2D vertex symbol {5.5.5.5}{5.4.4.5}{5.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 12, 28, 60, 120, 240, 496, 1016, 2092, 4228), (4, 12, 22, 52, 98, 218, 422, 904, 1760, 3736), (3, 7, 18, 33, 79, 146, 329, 630, 1363, 2628), (8, 16, 40, 72, 168, 320, 696, 1320, 2848, 5560), (4, 14, 26, 62, 112, 264, 500, 1086, 2056, 4452)]
Delaney-Dress Symbol <2228.2:13:1 3 5 7 9 11 13,2 4 5 8 13 10 12,1 2 3 6 7 8 9 10 11 12 13:5 4,4 4 3 8 4>
Dual net hqc2159

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 sqc11472 I4/mmm 139 tetragonal {4,8,4,3,4} 26 (5,6)
Full image sqc11483 I4/mmm 139 tetragonal {3,4,4,8,4} 26 (5,6)
Full image sqc13565 I41/acd 142 tetragonal {4,4,3,8,4} 52 (5,7)
Full image sqc13567 I41/acd 142 tetragonal {4,4,3,8,4} 52 (5,7)
Full image sqc11448 P42/nnm 134 tetragonal {4,8,4,4,3} 26 (5,6)
Full image sqc11478 P42/nnm 134 tetragonal {4,4,3,4,8} 26 (5,6)

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 UQC5607 *2224 (5,6,2) {4,4,3,8,4} {5.5.5.5}{5.4.4.5}{5.4.4}{4.4.4.... Snet sqc11483 Snet sqc13565 Snet sqc11478
Tiling details UQC5608 *2224 (5,6,2) {4,4,3,8,4} {5.5.5.5}{5.4.4.5}{5.4.4}{4.4.4.... Snet sqc11472 Snet sqc13567 Snet sqc11448

Symmetry-lowered hyperbolic tilings