h-net: hqc136


Topological data

Orbifold symbol*2224
Transitivity (vertex, edge, ring)(2,3,2)
Vertex degrees{6,4}
2D vertex symbol {4.4.4.4.4.4}{4.4.4.4}
Vertex coordination sequence [(4, 12, 36, 104, 300, 868, 2508, 7248, 20948, 60540), (6, 20, 58, 168, 486, 1404, 4058, 11728, 33894, 97956)]
Delaney-Dress Symbol <136.2:5:1 2 4 5,1 3 5,2 3 4 5:4 4,6 4>
Dual net hqc116

Derived s-nets

s-nets with faithful topology

18 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 sqc3416 Fmmm 69 orthorhombic {4,6,6,4} 8 (4,4)
Full image sqc3417 Fmmm 69 orthorhombic {4,6,6,4} 8 (4,4)
Full image sqc3536 I4/mmm 139 tetragonal {6,4} 8 (2,3)
Full image sqc3724 I4/mmm 139 tetragonal {6,4} 8 (2,3)
Full image sqc9483 P4/mmm 123 tetragonal {6,6,4,4} 16 (4,4)
Full image sqc9540 P4/mmm 123 tetragonal {6,6,4,4} 16 (4,4)
Full image sqc9482 I4122 98 tetragonal {6,6,4,4} 16 (4,5)
Full image sqc9573 I4122 98 tetragonal {6,6,4,4} 16 (4,5)
Full image sqc9575 I41/acd 142 tetragonal {6,4} 16 (2,3)
Full image sqc9643 I41/acd 142 tetragonal {6,4} 16 (2,3)
Full image sqc9780 Fddd 70 orthorhombic {6,6,4,4} 16 (4,5)
Full image sqc9782 Fddd 70 orthorhombic {6,6,4,4} 16 (4,5)
Full image sqc375 P42/mmc 131 tetragonal {6,4} 4 (2,3)
Full image sqc3415 Cmma 67 orthorhombic {6,6,4,4} 8 (4,4)
Full image sqc3478 P4222 93 tetragonal {4,4,6,6} 8 (4,4)
Full image sqc3482 P4222 93 tetragonal {6,6,4,4} 8 (4,4)
Full image sqc3556 Cmma 67 orthorhombic {6,6,4,4} 8 (4,4)
Full image sqc3744 P42/nnm 134 tetragonal {6,4} 8 (2,3)

s-nets with edge collapse

No items to display.

Derived U-tilings

6 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC132 *2224 (2,3,2) {6,4} {4.4.4.4.4.4}{4.4.4.4} Snet sqc3724 Snet sqc9643 Snet sqc3744
Tiling details UQC133 *2224 (2,3,2) {6,4} {4.4.4.4.4.4}{4.4.4.4} Snet sqc3536 Snet sqc9575 Snet sqc375
Tiling details UQC4688 *22222a (4,4,2) {6,6,4,4} {4.4.4.4.4.4}{4.4.4.4.4.4}{4.4.4... Snet sqc9483 Snet sqc9482 Snet sqc3478
Tiling details UQC4689 *22222a (4,4,2) {6,6,4,4} {4.4.4.4.4.4}{4.4.4.4.4.4}{4.4.4... Snet sqc9540 Snet sqc9573 Snet sqc3482
Tiling details UQC4690 *22222b (4,4,2) {6,6,4,4} {4.4.4.4.4.4}{4.4.4.4.4.4}{4.4.4... Snet sqc3417 Snet sqc9780 Snet sqc3415
Tiling details UQC4691 *22222b (4,4,2) {6,6,4,4} {4.4.4.4.4.4}{4.4.4.4.4.4}{4.4.4... Snet sqc3416 Snet sqc9782 Snet sqc3556

Symmetry-lowered hyperbolic tilings