h-net: hqc1809


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{4,12,4,4}
2D vertex symbol {3.4.4.3}{3.4.4.3.4.4.3.4.4.3.4.4}{4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 22, 28, 142, 164, 839, 956, 4896, 5572, 28536), (12, 16, 84, 96, 492, 560, 2868, 3264, 16716, 19024), (4, 8, 40, 48, 244, 280, 1434, 1632, 8358, 9512), (4, 24, 28, 144, 164, 840, 956, 4896, 5572, 28536)]
Delaney-Dress Symbol <1809.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,4 12 4 4>
Dual net hqc1639

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 sqc10464 I4/mmm 139 tetragonal {4,4,4,12} 18 (4,5)
Full image sqc10465 I4/mmm 139 tetragonal {4,4,4,12} 18 (4,5)
Full image sqc13230 I41/acd 142 tetragonal {4,12,4,4} 36 (4,6)
Full image sqc13231 I41/acd 142 tetragonal {4,12,4,4} 36 (4,6)
Full image sqc10406 P42/nnm 134 tetragonal {12,4,4,4} 18 (4,5)
Full image sqc10434 P42/nnm 134 tetragonal {4,12,4,4} 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 UQC4940 *2224 (4,5,2) {4,12,4,4} {3.4.4.3}{3.4.4.3.4.4.3.4.4.3.4.... Snet sqc10464 Snet sqc13231 Snet sqc10434
Tiling details UQC4941 *2224 (4,5,2) {4,12,4,4} {3.4.4.3}{3.4.4.3.4.4.3.4.4.3.4.... Snet sqc10465 Snet sqc13230 Snet sqc10406

Symmetry-lowered hyperbolic tilings