Re: geometry & algebra
- From: Gerry Myerson <gerry@xxxxxxxxxxxxxxxxxxxxxxxxx>
- Date: Wed, 19 Mar 2008 22:39:30 GMT
In article
<5931f938-77a9-4910-8c8e-f257b42266c3@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
TEsserakt78@xxxxxxxxxxx wrote:
we have following algorithm :
- we choose three points
- we connect this point with shortest possibel lines and get triangle
- we calculate sum of it's angles and get 180
now we repeate this algorithm but in space that is curved(like near
black hole),
this time we get triangle with sum of it's angles diffrent than 180.
we have diffrent algorithm :
- we choose diffrent points from complex plane
- for each point C we input it as a first element of equation Zn
+1=Zn^2+C
- if values of Zn+1 while increasing n are growing to infinity, we
mark this point as black, if this values are staying under some
predefined value
we mark point as black, in this way we get Mandelbrot Set.
the questiion is is it possible to do somthing with algebra so we
would get diffrent shape of Mandelbrot Set,
are there in mathematics any forms of "curving" the algebra just like
geometry ?
Just as you can do geometry in places other than the Euclidean plane,
you can do algebra in places other than the complex numbers. For
example, the p-adic numbers, q.v. How you would visualize a p-adic
Mandelbrot set, I have no idea.
--
Gerry Myerson (gerry@xxxxxxxxxxxxxxx) (i -> u for email)
.
- References:
- geometry & algebra
- From: TEsserakt78
- geometry & algebra
- Prev by Date: Question about "Strong Convergence" in Probability Theory
- Next by Date: Re: Mathematicians influenced by Martin Gardner
- Previous by thread: geometry & algebra
- Next by thread: Mathematics in Finland
- Index(es):
Relevant Pages
|
