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I know this is not *exactly* the approptiate group (nor the
appropriate server for all that I know of :) ) but with all these
fractal postings recently I may survive the flames :)
Anyway, can anyone direct me to some .pdf .doc .eps or similar format
(or html but if it is a single page) tutorial on fractals? I am
interested in chaotic systems, attractors, M-set and J-set offspring,
2D and 3D. The FractInt documentation is very brief on these subjects.
Any help will be greatly appreciated. TIA.
---------
Peter Popov
ICQ: 15002700
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Search for the web site of Clifford Pickover he's the master of fractals,
chaos, computer patterns ... and wrote a score of books on the subject (even
one where i'm credited (me mum so proud))
Philippe
>I know this is not *exactly* the approptiate group (nor the
>appropriate server for all that I know of :) ) but with all these
>fractal postings recently I may survive the flames :)
>
>Anyway, can anyone direct me to some .pdf .doc .eps or similar format
>(or html but if it is a single page) tutorial on fractals? I am
>interested in chaotic systems, attractors, M-set and J-set offspring,
>2D and 3D. The FractInt documentation is very brief on these subjects.
>Any help will be greatly appreciated. TIA.
>
>---------
>Peter Popov
>ICQ: 15002700
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On Mon, 3 May 1999 20:59:38 +0200, "Ph Gibone" <Ph.### [at] wanadoo fr>
wrote:
>Search for the web site of Clifford Pickover
It is at http://sprott.physics.wisc.edu/pickover/home.htm. I don't
know if you'll find what you want there, but it is an utter mindbender
and well worth visiting.
Jerry Anning
clem "at" dhol "dot" com
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Peter Popov wrote:
>
> I know this is not *exactly* the approptiate group (nor the
> appropriate server for all that I know of :) ) but with all these
> fractal postings recently I may survive the flames :)
>
> Anyway, can anyone direct me to some .pdf .doc .eps or similar format
> (or html but if it is a single page) tutorial on fractals? I am
> interested in chaotic systems, attractors, M-set and J-set offspring,
> 2D and 3D. The FractInt documentation is very brief on these subjects.
> Any help will be greatly appreciated. TIA.
>
> ---------
> Peter Popov
> ICQ: 15002700
This is an excellent source of all things math. My thanks to Ingo for
providing me with the link. If you go to the math subject area and click
on the fractals link at first it only looks like a list of books on the
subject. Be sure to click on the differenct links for more information.
There are a lot of equations available if you search hard enough ; }
Access to the site is off and on. If you don't get in today try again in
a week.
http://www.astro.virginia.edu/~eww6n/TreasureTroves.html
Here is a great list of books related to fractals from the site above.
Perhaps your university library has some of them on hand.
http://www.astro.virginia.edu/~eww6n/books/Fractals.html
--
Ken Tyler
mailto://tylereng@pacbell.net
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Peter Popov wrote:
>
> I know this is not *exactly* the approptiate group (nor the
> appropriate server for all that I know of :) ) but with all these
> fractal postings recently I may survive the flames :)
>
> Anyway, can anyone direct me to some .pdf .doc .eps or similar format
> (or html but if it is a single page) tutorial on fractals? I am
> interested in chaotic systems, attractors, M-set and J-set offspring,
> 2D and 3D. The FractInt documentation is very brief on these subjects.
> Any help will be greatly appreciated. TIA.
>
> ---------
> Peter Popov
> ICQ: 15002700
Hi Peter,
A tutorial on fractals
http://life.csu.edu.au/complex/tutorials/tutorial3.html
The following two are also interesting reading for all if not implicitly
fractal in content.
Cellular Automata tutorial
http://life.csu.edu.au/complex/tutorials/tutorial1.html
L-Systems tutorial - some fractal content
http://life.csu.edu.au/complex/tutorials/tutorial2.html
The sci.fractals FAQ
http://fractal.mta.ca/sci.fractals-faq/
Also see:
http://fractal.mta.ca/fractals/
Cheers,
--
Ken Tyler
mailto://tylereng@pacbell.net
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Am I lucky. Next tuesday I give a presentation on cellular automata and
lindenmayer graphics. And now all these pointers in this group!
Thanx again.
--
Frans Verbaas
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F.VERBAAS wrote:
>
> Am I lucky. Next tuesday I give a presentation on cellular automata and
> lindenmayer graphics. And now all these pointers in this group!
>
> Thanx again.
>
> --
> Frans Verbaas
Hi,
Very near the bottom of the page listed below is a fairly comprehensive
list of L-System related links to other sites on the subject. I have found
the page has not been maintained well but many of the links are still
active and the page is a great general source for CG related links.
http://www.rz.tu-ilmenau.de/~juhu/cg_links.html
--
Ken Tyler
mailto://tylereng@pacbell.net
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On Tue, 04 May 1999 01:33:56 -0700, Ken <tyl### [at] pacbellnet> wrote:
>Hi Peter,
>
>A tutorial on fractals
>http://life.csu.edu.au/complex/tutorials/tutorial3.html
>
>
> The following two are also interesting reading for all if not implicitly
>fractal in content.
>
>Cellular Automata tutorial
>http://life.csu.edu.au/complex/tutorials/tutorial1.html
>
>L-Systems tutorial - some fractal content
>http://life.csu.edu.au/complex/tutorials/tutorial2.html
>
>
>The sci.fractals FAQ
>http://fractal.mta.ca/sci.fractals-faq/
>
>Also see:
>http://fractal.mta.ca/fractals/
>
>
>Cheers,
Danke, herr Linkmeister :)
Here's one page you might want to check out and consider adding to
your links list. It is a very comprehensive math links list.
http://www.wco.com/~ejia/EDU/math
BTW, anyone heard anything about octonion Julia sets? I encountered
these during my quest, but all links were dead. Apparently there was
only one man in the world who had some idea what these beasties were,
since all mentions of octonion julias pointed to his page, but it
404ed. Any ideas, anyone?
---------
Peter Popov
ICQ: 15002700
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Sorry for the incomplete information below, but my vocabulary not good
enough and my math neither but...
The real numbers along with addition and multiplication have very nice
properties (I think the word in english is "field", but not sure (too far in
my past)) and this the first dimension.
The complex numbers have the same property and this is 2nd dimension and
this is where Julias lie
(you know the formula : x(n+1) = x(n)*x(n) + a0))
Don't kook for 3rd dimension, it doesn't exist !
4th dimension is known as Quartenion (but we have to project them in the 3rd
dimension before ray-tracing), but we use the same formula (incidentaly
we've lost the property of commutativity at this stage !)
8th dimension is known as Octonion...
To fully undertand the multiplication (addition is straight forawrd) for
thoses different fields you have to know how the bases multiply each other,
Complex : 1*i = i, 1*1 = 1, i*i = -1
Quarternion : 1*i = i...
i*j = k, j*i = -k
j*k=i, k*j = -i
k*i=j, i*k = -j
i*i=j*j=k*k= -1
Octonion : same idea as in quaternion (I believe) that is e3*e4=e5 and other
permutations (not clear ?)
Philippe
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Peter Popov wrote:
> Danke, herr Linkmeister :)
Yup !
> Here's one page you might want to check out and consider adding to
> your links list. It is a very comprehensive math links list.
>
> http://www.wco.com/~ejia/EDU/math
It has been added to the sacred scrolls and we are grateful for your
contributions.
> BTW, anyone heard anything about octonion Julia sets? I encountered
> these during my quest, but all links were dead. Apparently there was
> only one man in the world who had some idea what these beasties were,
> since all mentions of octonion julias pointed to his page, but it
> 404ed. Any ideas, anyone?
> ---------
> Peter Popov
Eight sided onions ?
Octonion Julia Sets you say !
There is a very heavy discussion on this subject at the link provided
below:
http://www.innerx.net/personal/tsmith/ficw.html
--
Ken Tyler
mailto://tylereng@pacbell.net
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