h-net: hqc20


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(1,1,2)
Vertex degrees{4}
2D vertex symbol {4.6.4.6}
Vertex coordination sequence [(4, 10, 22, 46, 96, 200, 416, 866, 1802, 3750)]
Delaney-Dress Symbol <20.1:2:1 2,1 2,2:4 6,4>
Dual net hqc25

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 sqc942 mot-e P4/mmm 123 tetragonal {4,4} 6 (2,2)
Full image sqc5544 rhr Im-3m 229 cubic {4} 12 (1,1)
Full image sqc11201 I41/acd 142 tetragonal {4,4} 24 (2,3)
Full image sqc11218 ana Ia-3d 230 cubic {4} 24 (1,1)
Full image sqc970 sod Im-3m 229 cubic {4} 6 (1,1)
Full image sqc5578 P42/nnm 134 tetragonal {4,4} 12 (2,2)

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 UQC11 *246 (1,1,2) {4} {4.6.4.6} Snet sqc5544 Snet sqc11218 Snet sqc970
Tiling details UQC474 *2224 (2,2,3) {4,4} {4.6.4.6}{6.4.6.4} Snet sqc942 Snet sqc11201 Snet sqc5578

Symmetry-lowered hyperbolic tilings