
Re: Deformable platonic "solids"
Posted:
Mar 5, 2013 2:34 PM


On 03/04/2013 08:29 PM, 1treePetrifiedForestLane wrote: > did you see, _The Fiftynine Icosahedra_ ??
No, I don't know about that.
>> 53 real variables, 29 algebraic equations.
It's algebraic geometry over the real numbers. In standard position, we're at a point P_0 on the variety V which "lives" in R^53.
In a small open neighborhood of P_0, we could have up to 5329 = 24 free real variables.
I know about Gaussian elimination for linear equations, but here we have 29 equations, each of total degree 2, so it's more complicated.
A successful elimination could yield a parameterization of V in a sufficiently small open neighborhood of P_0.
I don't feel like trying this though, it seems too much hard work.
David Bernier
> thus: > concept of perpendicular universes. in my universe, > you are not a descartesian ... what ever you actually are. [...]
 dracut:/# lvm vgcfgrestore File descriptor 9 (/.console_lock) leaked on lvm invocation. Parent PID 993: sh Please specify a *single* volume group to restore.

