User:The Nth User
From Wikipedia, the free encyclopedia
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
Various constructions
SMILES constructions
Porphine—or is it?
N1=C0C=CC1=CC(=N1)C=CC1=CC(=N1)C=CC1=CC(=N1)C=CC1=C0
Another similar compound
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
Hypothetical carbon molecule resembling a hypertetrahedron
A section of chromium's crystal structure (body-centered cubic)
An expanded version of the table at Archimedean_solid#Construction_of_Archimedean_solids
| 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 (Half of the "edges" count as degenerate digon faces. The other half are normal edges.) | 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(All of the "edges" count as degenerate digon faces.) | tetratetrahedron | cuboctahedron | icosidodecahedron | Trihexagonal tiling | Triheptagonal tiling | Trioctagonal tiling | ||||||
| Bitruncation (2t) Dual kis (dk) | 2t{p,q} |
truncated triangular dihedron(Half of the "edges" count as degenerate digon faces. The other half are normal edges.) | 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(The "edge" between each pair of tetragons counts as a degenerate digon face. The other edges (the ones between a trigon and a tetragon) are normal edges.) | rhombitetratetrahedron | rhombicuboctahedron | rhombicosidodecahedron  | rhombitrihexagonal tiling | Rhombitriheptagonal tiling  | Rhombitrioctagonal tiling  | ||||||
| Snub rectified (sr) Snub (s) | sr{p,q} |
triangular antiprism (Three yellow-yellow "edges", no two of which share any vertices, count as degenerate digon faces. The other edges are normal edges.) | 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 | ||||||