h-net: hqc1824


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,3,4,8}
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, 8, 20, 36, 76, 144, 288, 560, 1104, 2164), (3, 11, 17, 41, 72, 151, 287, 573, 1117, 2200), (4, 16, 24, 60, 104, 220, 416, 832, 1620, 3192), (8, 12, 36, 56, 128, 232, 476, 916, 1816, 3552)]
Delaney-Dress Symbol <1824.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:6 4,4 3 4 8>
Dual net hqc1644

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 sqc10498 I4/mmm 139 tetragonal {3,4,4,8} 22 (4,5)
Full image sqc10503 I4/mmm 139 tetragonal {3,4,4,8} 22 (4,5)
Full image sqc13246 I41/acd 142 tetragonal {4,3,4,8} 44 (4,6)
Full image sqc13249 I41/acd 142 tetragonal {4,3,4,8} 44 (4,6)
Full image sqc10441 P42/nnm 134 tetragonal {3,4,8,4} 22 (4,5)
Full image sqc10505 P42/nnm 134 tetragonal {8,3,4,4} 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 UQC4973 *2224 (4,5,2) {4,3,4,8} {6.4.4.6}{6.4.4}{4.4.4.4}{4.4.4.... Snet sqc10503 Snet sqc13246 Snet sqc10505
Tiling details UQC4974 *2224 (4,5,2) {4,3,4,8} {6.4.4.6}{6.4.4}{4.4.4.4}{4.4.4.... Snet sqc10498 Snet sqc13249 Snet sqc10441

Symmetry-lowered hyperbolic tilings