Date: Dec 30, 2012 4:42 PM
Author: kirby urner
Subject: Re: A Point on Understanding
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