Wiardgroup

and for those of us who shun the technical side, there are some truly
great explanations of "projection", as well as thoughts on the more
religious/spritual aspects, in edwin a. abbot's book "flatland". find
out how A. Square (who lives in a two dimensinal reality) deals with
life when proof of a third dimension comes his way!

gregg

--- In wiardgroup@yahoogroups.com, "Grant Richter" <grichter@...> wrote:
>
> It is one thing to have the intuition that audio can be described by
a terrain oscillator 
> tracing overlapping projections of higher dimensional objects on a
plane. It is another 
> thing to build it in analog. Or prove it or calculate it. It does
relate sound back to 
> geometry.
> 
> Still, geometry is a lot of fun to study. If someone wants to lend
me a copy of the original 
> folio of J.F. Nicerons "Thaumaturgus Opticus" (1649) it would help
(pretty seminal on 
> anamorphic projection). Oops, Vatican has it...
> 
> "Projection" is a way of expressing higher dimension objects in a
lower dimension. A 
> geometric analog of mixing, as an example because you can not
generate a full original 
> from only information contained in shadows. (a projection is the
shadow of a higher 
> dimension geometrical object which is veiwable in a lower dimension).
> 
> I'll have to settle for the works of Claude Bragdon such as this:
> 
> http://www.amazon.com/gp/product/048627117X/
> ref=sr_11_1/104-0050071-2953569?%5Fencoding=UTF8
> 
> I was so excited, then I found out he wrote the intro to the
"Tertium Organum".
> Up here in Wisconsin you know we have Lawsonomy. Also very
geometric, "The Law of the 
> Zig-Zag and Swirl" for example.
> 
> Apparently, studying geometry above 3 dimensions makes you start a
religion, so begin 
> tithing now and beat the rush!
> 
> Number Theory may be the Grande Dame of mathematics, but Geometry
sure is the pretty 
> looking one. Now someone tell me there is a one to one
correspondence between number 
> theory and geometry... (I recall something about unification).
>