h-net: hqc1842


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,6,8}
2D vertex symbol {5.5.5.5}{5.3.3.5}{5.3.3.5.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 12, 28, 56, 112, 232, 484, 1000, 2040, 4200), (4, 14, 28, 58, 120, 250, 510, 1050, 2156, 4442), (6, 14, 30, 60, 134, 266, 550, 1116, 2334, 4754), (8, 16, 32, 72, 144, 304, 608, 1272, 2584, 5392)]
Delaney-Dress Symbol <1842.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:5 3,4 4 6 8>
Dual net hqc1726

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 sqc10470 I4/mmm 139 tetragonal {4,4,6,8} 18 (4,5)
Full image sqc10486 I4/mmm 139 tetragonal {8,4,6,4} 18 (4,5)
Full image sqc13232 I41/acd 142 tetragonal {4,4,6,8} 36 (4,6)
Full image sqc13233 I41/acd 142 tetragonal {4,4,6,8} 36 (4,6)
Full image sqc10423 P42/nnm 134 tetragonal {4,6,8,4} 18 (4,5)
Full image sqc10469 P42/nnm 134 tetragonal {4,4,6,8} 18 (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 UQC5013 *2224 (4,5,2) {4,4,6,8} {5.5.5.5}{5.3.3.5}{5.3.3.5.3.3}{... Snet sqc10486 Snet sqc13233 Snet sqc10469
Tiling details UQC5014 *2224 (4,5,2) {4,4,6,8} {5.5.5.5}{5.3.3.5}{5.3.3.5.3.3}{... Snet sqc10470 Snet sqc13232 Snet sqc10423

Symmetry-lowered hyperbolic tilings