iNVERTED wrote:We're learning about this in chemistry right now. What happens in 3D goes like this:
2 pairs align themselves along a line
3 pairs point at the corners of an equilateral triangle
4 pairs point at the corners of a regular tetrahedron
5 pairs have the equilateral triangle plus the line, perpendicular to each other
6 pairs have three lines, each perpendicular to each other
batmanmg wrote:thats the octahedron right?
i guess the only symetry thats needed is rotational?
pat wrote:batmanmg wrote:thats the octahedron right?
The six pairs is an octahedron. The five pairs is a triangular dipyramid (or bipyramid, depending on your prefixial preference).
5. pentachoron p=5, a=2
6. bi-triangular tegum p=6, a=3
7 p=7, a=2
8 16-cell p-4, a=1, done mod 2
9, p=3, a=1 bi-triangular prism
10, p=10, a=3 = pentachoron + dual
11 p=11, a=3
13 p=13, a=5 (very interesting figure)
wendy wrote:For 3d, one can use the 2d cases, or
4. tetrahedron or square
5. triangular tegum
6. octahedron, triangular prism
7. pentagonal tegum.
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