
Re: Common Core snippet a little distressing
Posted:
Jul 16, 2013 7:42 PM


At 06:55 AM 7/15/2013, kirby urner wrote:
>As to how to duplicate a tetrahedron with a >ruler and compass in 3D if that's what's asked, >it sounds doable, but not in a way I'd want to >try typing out in words here. Sounds like a CAD challenge of some kind.
Assuming the traditional straightedge (Ax 1: Two points determine a line) as opposed to a "ruler", I am sure it is not, and fairly easily reducible to the traditional solution (or NONsolution, if you prefer), the irreducibility of p(x) = x^3  2 over the integers (rationals, if you prefer). You know, the contrapositive,"If the edge of a regular tetrahedron could be constructed with compass and straightedge that is the edge of a regular tetrahedron of double the volume of the original, then
"
Wayne

