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User:The Nth User
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Hi. My username, in case you're wondering, is induction-inspired. You'll probably find me either on a math-, science-, or meteorology-related article or involved in categorization.
I have worked on improving Wikipedia's coverage of music systems, Wikipedia's categorization of chemical compounds, Wikipedia's usage of SMILES, Wikipedia's coverage of acids and bases, and Wikipedia's coverage of tropical cyclones.
Barnstars that I've received
[edit]Various constructions
[edit]Porphine—or is it?
[edit]N1=C0C=CC1=CC(=N1)C=CC1=CC(=N1)C=CC1=CC(=N1)C=CC1=C0
Another similar compound
[edit]N1=C0C=CC1=C1C=CC(=N1)C(=N1)C=CC1=C1C=CC0=N1
A hypothetical tetragonal allotrope of carbon with 16 carbon atoms per unit cell that I came up with and that consists of joined cyclooctatetraene molecules
[edit]Hypothetical carbon molecule resembling a hypertetrahedron
[edit]C124C35C=CC16C=CC2(C=C3)C=CC4(C=C5)C=C6
An expanded version of the table at Archimedean_solid#Construction_of_Archimedean_solids
[edit]| Symmetry | Triangular dihedral symmetry |
Tetrahedral |
Octahedral |
Icosahedral |
p6m symmetry |
[3,7] symmetry |
[3,8] symmetry | |||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| Starting solid Operation |
Symbol {p,q} |
Triangular hosohedron {2,3} |
Triangular dihedron {3,2} |
Tetrahedron {3,3} |
Cube {4,3} |
Octahedron {3,4} |
Dodecahedron {5,3} |
Icosahedron {3,5} |
Hexagonal tiling {6,3} |
Triangular tiling {3,6} |
Heptagonal tiling {7,3} |
Order-7 triangular tiling {3,7} |
Octagonal tiling {8,3} |
Order-8 triangular tiling {3,8} |
| Truncation (t) | t{p,q} |
triangular prism |
truncated triangular dihedron |
truncated tetrahedron |
truncated cube |
truncated octahedron |
truncated dodecahedron |
truncated icosahedron |
Truncated hexagonal tiling |
Truncated triangular tiling |
Truncated heptagonal tiling |
Truncated order-7 triangular tiling |
Truncated octagonal tiling |
Truncated order-8 triangular tiling |
| Rectification (r) Ambo (a) |
r{p,q} |
tridihedron |
tetratetrahedron |
cuboctahedron |
icosidodecahedron |
Trihexagonal tiling |
Triheptagonal tiling |
Trioctagonal tiling | ||||||
| Bitruncation (2t) Dual kis (dk) |
2t{p,q} |
truncated triangular dihedron |
triangular prism |
truncated tetrahedron |
truncated octahedron |
truncated cube |
truncated icosahedron |
truncated dodecahedron |
truncated triangular tiling |
truncated hexagonal tiling |
Truncated order-7 triangular tiling |
Truncated heptagonal tiling |
Truncated order-8 triangular tiling |
Truncated octagonal tiling |
| Birectification (2r) Dual (d) |
2r{p,q} |
triangular dihedron {3,2} |
triangular hosohedron {2,3} |
tetrahedron |
octahedron |
cube |
icosahedron |
dodecahedron |
triangular tiling |
hexagonal tiling |
Order-7 triangular tiling |
Heptagonal tiling |
Order-8 triangular tiling |
Octagonal tiling |
| Cantellation (rr) Expansion (e) |
rr{p,q} |
triangular prism |
rhombitetratetrahedron |
rhombicuboctahedron |
rhombicosidodecahedron |
rhombitrihexagonal tiling |
Rhombitriheptagonal tiling |
Rhombitrioctagonal tiling | ||||||
| Snub rectified (sr) Snub (s) |
sr{p,q} |
triangular antiprism |
snub tetratetrahedron |
snub cuboctahedron |
snub icosidodecahedron |
snub trihexagonal tiling |
Snub triheptagonal tiling |
Snub trioctagonal tiling | ||||||
| Cantitruncation (tr) Bevel (b) |
tr{p,q} |
hexagonal prism |
truncated tetratetrahedron |
truncated cuboctahedron |
truncated icosidodecahedron |
truncated trihexagonal tiling |
Truncated triheptagonal tiling |
Truncated trioctagonal tiling | ||||||