Friday, January 15, 2010

Funny Time

Yesterday (curse my night owlery) in math, we learned about what are called Platonic Solids. There's a joke at the end of this, so just shut up and listen to more about math, m'kay? M'kay.


So, first up is the TETRAHEDRON with 4 vertices, 6 edges, and 4 faces!


(Triangular goodness!)

Up next, we have the CUBE with 8 vertices, 12 edges, and 6 faces!



(Cubic delight!)

Third, we have the OCTAHEDRON with 6 vertices, 12 edges, and 8 faces!

(Octahedrictacular!)

Fourth on the list is the DODECAHEDRON, with 20 sides, 30 edges, and 12 faces!



(Dodeca-delicious!)

Lastly and leastly is the ICOSAHEDRON, with 12 vertices, 30 edges, and 20 faces (and people call me two-faced).

(Icosahedrolytes!)

Okay, so, these shapes have what are called "duals," meaning the shape can fit inside the other by each of its vertices touching the exact middle of the others' face. The cube and octahedron are both duals (notice how the number of faces of one of them is equal to the number of vertices of the other) and the dodecahedron and the icosahedron are duals.

Now, the tetrahedron is the freak in the family, because it doesn't have anyone else to get inside, but, as you see its vertices equal the number of faces, so it's its own dual. So, I guess we could say it does it to itself because it can't get inside anyone else!

TADA!

In case you were wondering, yes, this entire post was explaining three-dimensional geometric shapes just to lead up to a masturbation joke.

Nothing to see here, move along!

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