h-net: hqc1904


Topological data

Orbifold symbol*2323
Transitivity (vertex, edge, ring)(4,5,2)
Vertex degrees{12,4,4,3}
2D vertex symbol {5.3.3.5.5.3.3.5.5.3.3.5}{5.5.3.3}{3.3.3.3}{5.5.5}
Vertex coordination sequence [(12, 42, 120, 378, 1176, 3630, 11214, 34662, 107124), (4, 21, 79, 232, 715, 2208, 6835, 21127, 65295), (4, 20, 78, 218, 678, 2104, 6508, 20114, 62164), (3, 9, 51, 168, 477, 1500, 4650, 14355, 44376)]
Delaney-Dress Symbol <1904.2:11:1 3 5 7 9 11,2 10 6 9 8 11,1 4 5 6 7 8 9 10 11:5 3,12 4 4 3>
Dual net hqc1750

Derived s-nets

s-nets with faithful topology

3 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 sqc12489 P4232 208 cubic {12,4,4,3} 26 (4,5)
Full image sqc12490 I213 199 cubic {12,4,4,3} 26 (4,6)
Full image sqc12485 F-43m 216 cubic {12,4,4,3} 26 (4,5)

s-nets with edge collapse

No items to display.

Derived U-tilings

1 record listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC5113 *2323 (4,5,2) {12,4,4,3} {5.3.3.5.5.3.3.5.5.3.3.5}{5.5.3.... Snet sqc12489 Snet sqc12490 Snet sqc12485

Symmetry-lowered hyperbolic tilings