h-net: hqc5


Topological data

Orbifold symbol*246
Transitivity (vertex, edge, ring)(1,1,1)
Vertex degrees{6}
2D vertex symbol {4.4.4.4.4.4}
Vertex coordination sequence [(6, 24, 90, 336, 1254, 4680, 17466, 65184)]
Delaney-Dress Symbol <5.1:1:1,1,1:4,6>
Dual net hqc9

Derived s-nets

s-nets with faithful topology

37 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 sqc1 pcu Pm-3m 221 cubic {6} 1 (1,1)
Full image sqc838 Pmmm 47 orthorhombic {6,6} 4 (2,7)
Full image sqc885 I4/mmm 139 tetragonal {6} 4 (1,2)
Full image sqc921 Fmmm 69 orthorhombic {6,6} 4 (2,3)
Full image sqc4867 P42/nnm 134 tetragonal {6} 8 (1,4)
Full image sqc4872 Cmma 67 orthorhombic {6,6} 8 (2,7)
Full image sqc5101 P42/nnm 134 tetragonal {6} 8 (1,4)
Full image sqc5328 P42/nnm 134 tetragonal {6} 8 (1,4)
Full image sqc4821 I4122 98 tetragonal {6} 8 (1,4)
Full image sqc4822 C2/c 15 monoclinic {6,6} 8 (2,7)
Full image sqc4862 Ibca 73 orthorhombic {6} 8 (1,5)
Full image sqc4880 C2/c 15 monoclinic {6,6} 8 (2,8)
Full image sqc4881 I4122 98 tetragonal {6,6} 8 (2,4)
Full image sqc4986 Ibca 73 orthorhombic {6} 8 (1,5)
Full image sqc4990 R-3c 167 rhombohedral {6,6} 8 (2,3)
Full image sqc4991 bcs Ia-3d 230 cubic {6} 8 (1,1)
Full image sqc5041 I4122 98 tetragonal {6} 8 (1,4)
Full image sqc5095 Fddd 70 orthorhombic {6} 8 (1,4)
Full image sqc5133 I4122 98 tetragonal {6,6} 8 (2,4)
Full image sqc5144 Fddd 70 orthorhombic {6} 8 (1,4)
Full image sqc5146 Ibca 73 orthorhombic {6} 8 (1,5)
Full image sqc5166 Fddd 70 orthorhombic {6,6} 8 (2,4)
Full image sqc5173 Fddd 70 orthorhombic {6,6} 8 (2,4)
Full image sqc5184 Ibca 73 orthorhombic {6} 8 (1,5)
Full image sqc5323 I41/acd 142 tetragonal {6} 8 (1,2)
Full image sqc24 Pmmm 47 orthorhombic {6} 2 (1,4)
Full image sqc784 P4222 93 tetragonal {6,6} 4 (2,3)
Full image sqc789 Cmma 67 orthorhombic {6,6} 4 (2,3)
Full image sqc796 P4222 93 tetragonal {6,6} 4 (2,3)
Full image sqc837 P4222 93 tetragonal {6} 4 (1,4)
Full image sqc884 Pnnn 48 orthorhombic {6} 4 (1,4)
Full image sqc900 P4222 93 tetragonal {6} 4 (1,4)
Full image sqc911 Cmma 67 orthorhombic {6} 4 (1,4)
Full image sqc947 hxg Pn-3m 224 cubic {6} 4 (1,1)
Full image sqc4865 I41/amd 141 tetragonal {6} 8 (1,4)
Full image sqc4868 Imma 74 orthorhombic {6,6} 8 (2,7)
Full image sqc5180 I41/amd 141 tetragonal {6} 8 (1,4)

s-nets with edge collapse


Derived U-tilings

17 records listed.
Image U-tiling name PGD Subgroup Transitivity (Vert,Edge,Face) Vertex Degree Vertex Symbol P net G net D net
Tiling details UQC1 *246 (1,1,1) {6} {4.4.4.4.4.4} Snet sqc1 Snet sqc4991 Snet sqc947
Tiling details UQC13 *2224 (1,2,2) {6} {4.4.4.4.4.4} Snet sqc885 Snet sqc5323 Snet sqc1
Tiling details UQC40 *22222a (1,4,3) {6} {4.4.4.4.4.4} Snet sqc464 Snet sqc4821 Snet sqc837
Tiling details UQC41 *22222b (1,4,3) {6} {4.4.4.4.4.4} Snet sqc492 Snet sqc5144 Snet sqc24
Tiling details UQC42 *22222a (1,4,3) {6} {4.4.4.4.4.4} Snet sqc464 Snet sqc5041 Snet sqc900
Tiling details UQC43 *22222b (1,4,3) {6} {4.4.4.4.4.4} Snet sqc1 Snet sqc5095 Snet sqc911
Tiling details UQC305 *22222a (2,3,2) {6,6} {4.4.4.4.4.4}{4.4.4.4.4.4} Snet sqc686 Snet sqc4881 Snet sqc784
Tiling details UQC306 *22222a (2,3,2) {6,6} {4.4.4.4.4.4}{4.4.4.4.4.4} Snet sqc4360 Snet sqc5133 Snet sqc796
Tiling details UQC307 *22222b (2,3,2) {6,6} {4.4.4.4.4.4}{4.4.4.4.4.4} Snet sqc921 Snet sqc5166 Snet sqc1
Tiling details UQC308 *22222b (2,3,2) {6,6} {4.4.4.4.4.4}{4.4.4.4.4.4} Snet sqc687 Snet sqc5173 Snet sqc789
Tiling details UQC2316 *222222a (2,7,4) {6,6} {4.4.4.4.4.4}{4.4.4.4.4.4} Snet sqc4872 Snet sqc4880 Snet sqc4868
Tiling details UQC2367 *222222a (2,7,4) {6,6} {4.4.4.4.4.4}{4.4.4.4.4.4} Snet sqc4867 Snet sqc4862 Snet sqc4865
Tiling details UQC2368 *222222b (2,7,4) {6,6} {4.4.4.4.4.4}{4.4.4.4.4.4} Snet sqc12 Snet sqc4986 Snet sqc884
Tiling details UQC2369 *222222a (2,7,4) {6,6} {4.4.4.4.4.4}{4.4.4.4.4.4} Snet sqc5328 Snet sqc5184 Snet sqc5180
Tiling details UQC2370 *222222a (2,7,4) {6,6} {4.4.4.4.4.4}{4.4.4.4.4.4} Snet sqc5101 Snet sqc5146 Snet sqc1
Tiling details UQC2541 *222222a (2,7,5) {6,6} {4.4.4.4.4.4}{4.4.4.4.4.4} Snet sqc838 Snet sqc4822 Snet sqc3254
Tiling details UQC2 *2626 (4,3,2) {6,6,6,6} {4.4.4.4.4.4}{4.4.4.4.4.4}{4.4.4... Snet sqc947 Snet sqc4990 Snet sqc1

Symmetry-lowered hyperbolic tilings