h-net: hqc1206


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(4,4,2)
Vertex degrees{4,3,6,4}
2D vertex symbol {5.5.5.5}{5.4.5}{5.4.4.5.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 10, 24, 42, 96, 164, 372, 658, 1456, 2598), (3, 12, 18, 50, 77, 196, 307, 760, 1220, 2950), (6, 10, 30, 44, 118, 178, 458, 708, 1774, 2822), (4, 16, 24, 64, 92, 248, 372, 960, 1480, 3720)]
Delaney-Dress Symbol <1206.2:9:1 3 5 7 9,2 4 5 6 8 9,1 2 3 6 7 8 9:5 4,4 3 6 4>
Dual net hqc966

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 sqc9056 I4/mmm 139 tetragonal {6,3,4,4} 18 (4,4)
Full image sqc9221 I4/mmm 139 tetragonal {3,6,4,4} 18 (4,4)
Full image sqc12758 I41/acd 142 tetragonal {4,3,6,4} 36 (4,5)
Full image sqc12760 I41/acd 142 tetragonal {4,3,6,4} 36 (4,5)
Full image sqc8922 P42/nnm 134 tetragonal {3,4,6,4} 18 (4,4)
Full image sqc9061 P42/nnm 134 tetragonal {3,4,6,4} 18 (4,4)

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 UQC4320 *2224 (4,4,2) {4,3,6,4} {5.5.5.5}{5.4.5}{5.4.4.5.4.4}{4.... Snet sqc9221 Snet sqc12760 Snet sqc9061
Tiling details UQC4321 *2224 (4,4,2) {4,3,6,4} {5.5.5.5}{5.4.5}{5.4.4.5.4.4}{4.... Snet sqc9056 Snet sqc12758 Snet sqc8922

Symmetry-lowered hyperbolic tilings