h-net: hqc1565


Topological data

Orbifold symbol*4444
Transitivity (vertex, edge, ring)(5,4,2)
Vertex degrees{4,4,3,4,4}
2D vertex symbol {16.16.16.16}{16.6.6.16}{16.6.6}{6.6.6.6}{6.6.6.6}
Vertex coordination sequence [(4, 12, 28, 76, 156, 428, 972, 2672, 5756, 15772), (4, 10, 28, 60, 164, 360, 990, 2170, 5952, 13002), (3, 9, 20, 54, 120, 332, 726, 1987, 4339, 11914), (4, 12, 24, 68, 156, 424, 900, 2476, 5512, 15124), (4, 8, 20, 48, 136, 300, 816, 1752, 4816, 10684)]
Delaney-Dress Symbol <1565.2:10:2 4 6 8 10,1 3 4 7 9 8 10,1 2 5 6 7 8 9 10:16 6,4 4 3 4 4>
Dual net hqc1434

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 sqc3710 P4/mmm 123 tetragonal {4,4,3,4,4} 11 (5,4)
Full image sqc3866 P-4m2 115 tetragonal {4,4,3,4,4} 11 (5,4)
Full image sqc3708 I-4 82 tetragonal {4,4,3,4,4} 11 (5,5)
Full image sqc3871 I-4 82 tetragonal {4,4,3,4,4} 11 (5,5)
Full image sqc3707 I-4m2 119 tetragonal {4,4,3,4,4} 11 (5,4)
Full image sqc3873 I4/mmm 139 tetragonal {4,4,3,4} 11 (4,3)

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 UQC5263 *4444 (5,4,2) {4,4,3,4,4} {16.16.16.16}{16.6.6.16}{16.6.6}... Snet sqc3866 Snet sqc3871 Snet sqc3873
Tiling details UQC5264 *4444 (5,4,2) {4,4,3,4,4} {16.16.16.16}{16.6.6.16}{16.6.6}... Snet sqc3710 Snet sqc3708 Snet sqc3707

Symmetry-lowered hyperbolic tilings