h-net: hqc1866


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,4,3,8}
2D vertex symbol {10.10.10.10}{10.3.3.10}{10.3.3}{3.3.3.3.3.3.3.3}
Vertex coordination sequence [(4, 12, 28, 44, 64, 120, 256, 492, 860, 1484), (4, 8, 12, 32, 66, 114, 194, 352, 652, 1228), (3, 7, 8, 24, 62, 111, 173, 288, 546, 1086), (8, 4, 12, 36, 84, 136, 212, 356, 716, 1412)]
Delaney-Dress Symbol <1866.2:11:1 3 5 7 9 11,2 4 5 8 11 10,1 2 3 6 7 8 9 10 11:10 3,4 4 3 8>
Dual net hqc1720

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 sqc4182 P4/mmm 123 tetragonal {3,4,8,4} 11 (4,5)
Full image sqc10478 I4/mmm 139 tetragonal {3,4,4,8} 22 (4,5)
Full image sqc13234 I41/acd 142 tetragonal {4,4,3,8} 44 (4,6)
Full image sqc13235 I41/acd 142 tetragonal {4,4,3,8} 44 (4,6)
Full image sqc4514 I4/mmm 139 tetragonal {4,3,8,4} 11 (4,5)
Full image sqc10479 P42/nnm 134 tetragonal {4,4,3,8} 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 UQC5058 *2224 (4,5,2) {4,4,3,8} {10.10.10.10}{10.3.3.10}{10.3.3}... Snet sqc10478 Snet sqc13235 Snet sqc4514
Tiling details UQC5059 *2224 (4,5,2) {4,4,3,8} {10.10.10.10}{10.3.3.10}{10.3.3}... Snet sqc4182 Snet sqc13234 Snet sqc10479

Symmetry-lowered hyperbolic tilings