h-net: hqc1826


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,3,8,4}
2D vertex symbol {6.4.4.6}{6.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 12, 24, 52, 108, 224, 468, 972, 2024, 4212), (3, 7, 19, 39, 84, 176, 364, 760, 1580, 3288), (8, 16, 40, 80, 168, 352, 728, 1520, 3160, 6576), (4, 14, 26, 64, 132, 272, 572, 1184, 2468, 5136)]
Delaney-Dress Symbol <1826.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:6 4,4 3 8 4>
Dual net hqc1655

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 sqc10496 I4/mmm 139 tetragonal {3,4,8,4} 22 (4,5)
Full image sqc10501 I4/mmm 139 tetragonal {4,3,8,4} 22 (4,5)
Full image sqc13247 I41/acd 142 tetragonal {4,3,8,4} 44 (4,6)
Full image sqc13248 I41/acd 142 tetragonal {4,3,8,4} 44 (4,6)
Full image sqc10439 P42/nnm 134 tetragonal {3,4,4,8} 22 (4,5)
Full image sqc10494 P42/nnm 134 tetragonal {4,3,4,8} 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 UQC4976 *2224 (4,5,2) {4,3,8,4} {6.4.4.6}{6.4.4}{4.4.4.4.4.4.4.4... Snet sqc10496 Snet sqc13248 Snet sqc10439
Tiling details UQC4977 *2224 (4,5,2) {4,3,8,4} {6.4.4.6}{6.4.4}{4.4.4.4.4.4.4.4... Snet sqc10501 Snet sqc13247 Snet sqc10494

Symmetry-lowered hyperbolic tilings