h-net: hqc1451


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{3,4,4,4}
2D vertex symbol {7.3.7}{7.7.3.3}{7.7.7.7}{7.7.7.7}
Vertex coordination sequence [(3, 5, 10, 23, 49, 108, 193, 407, 764, 1556), (4, 6, 16, 30, 70, 132, 266, 512, 1024, 1988), (4, 12, 24, 56, 92, 208, 376, 780, 1476, 2960), (4, 12, 36, 52, 120, 204, 452, 828, 1692, 3248)]
Delaney-Dress Symbol <1451.2:10:1 3 5 6 8 10,2 7 4 6 9 10,1 4 5 6 7 8 9 10:7 3,3 4 4 4>
Dual net hqc1340

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 sqc9817 I4/mmm 139 tetragonal {3,4,4,4} 22 (4,5)
Full image sqc9818 I4/mmm 139 tetragonal {4,4,3,4} 22 (4,5)
Full image sqc12994 I41/acd 142 tetragonal {3,4,4,4} 44 (4,6)
Full image sqc12995 I41/acd 142 tetragonal {3,4,4,4} 44 (4,6)
Full image sqc9462 P42/nnm 134 tetragonal {4,4,3,4} 22 (4,5)
Full image sqc9890 P42/nnm 134 tetragonal {4,4,4,3} 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 UQC4450 *2224 (4,5,2) {3,4,4,4} {7.3.7}{7.7.3.3}{7.7.7.7}{7.7.7.7} Snet sqc9817 Snet sqc12995 Snet sqc9890
Tiling details UQC4451 *2224 (4,5,2) {3,4,4,4} {7.3.7}{7.7.3.3}{7.7.7.7}{7.7.7.7} Snet sqc9818 Snet sqc12994 Snet sqc9462

Symmetry-lowered hyperbolic tilings