h-net: hqc1815


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{8,3,8,4}
2D vertex symbol {3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(8, 24, 76, 204, 568, 1536, 4228, 11532, 31640, 86504), (3, 12, 35, 113, 296, 838, 2236, 6218, 16848, 46430), (8, 32, 80, 232, 608, 1720, 4616, 12800, 34760, 95616), (4, 14, 52, 132, 386, 1004, 2850, 7624, 21190, 57456)]
Delaney-Dress Symbol <1815.2:11:1 3 5 7 9 11,2 3 6 11 8 10,1 4 5 6 7 8 9 10 11:3 4,8 3 8 4>
Dual net hqc1656

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 sqc10457 I4/mmm 139 tetragonal {3,8,4,8} 18 (4,5)
Full image sqc10467 I4/mmm 139 tetragonal {8,3,4,8} 18 (4,5)
Full image sqc13228 I41/acd 142 tetragonal {8,3,8,4} 36 (4,6)
Full image sqc13241 I41/acd 142 tetragonal {8,3,8,4} 36 (4,6)
Full image sqc10435 P42/nnm 134 tetragonal {3,4,8,8} 18 (4,5)
Full image sqc10436 P42/nnm 134 tetragonal {8,3,4,8} 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 UQC4950 *2224 (4,5,2) {8,3,8,4} {3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4... Snet sqc10457 Snet sqc13228 Snet sqc10435
Tiling details UQC4951 *2224 (4,5,2) {8,3,8,4} {3.4.4.3.3.4.4.3}{3.4.4}{4.4.4.4... Snet sqc10467 Snet sqc13241 Snet sqc10436

Symmetry-lowered hyperbolic tilings