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Re: A Point on Understanding
Posted:
Dec 30, 2012 4:42 PM
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On Sat, Dec 29, 2012 at 10:35 PM, kirby urner <kirby.urner@gmail.com> wrote:
<< SNIP >>
> In the meantime, lots of important concepts get introduced and we do
> some proofs of:
>
> (a) Descartes' Deficit
> (b) V + F == E + 2 (the proof in Cromwell, as he presents it,
> attributed to von Staudt, is a fave)
> (c) V = 10 * f * f + 2 (I've done one of these -- as Coxeter
> exulted, it only takes high school level math)
>
Here it be (a proof), for letter (c):
http://mybizmo.blogspot.com/2007/01/gnu-math-memo.html
But then how does a high frequency cuboctahedron transform into
a high frequency icosahedron of the type discussed above? That's
less a matter of "proving" than of providing some compelling visuals,
which I somewhat get into here:
http://www.4dsolutions.net/ocn/numeracy0.html (encourages use
of free software by showing off graphics of the type the curriculum
itself leads one to make -- math skills in conjunction with craft
skills (not a new idea, though ray tracing software is still relatively
not ancient)).
Kirby
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