attractors...
- From: marienkaferoe@xxxxxxxxxxx
- Date: 21 Feb 2006 11:51:48 -0800
"So, for those of you who already used mathematica to visualize any of
the attractors 2d or 3d, i would appreciate if you help me with
it...i.m in big trouble with them.."
i.m an m.arch student who is trying to understand what actually an
attractor is and find possible ways of generating those beautiful forms
of them _for example, lorenz attractor_ by using
mathematica/rhino/maya... The problem is, i.m not a mathematician and
it has been only 6 days since i started to search attractors.:)
To understand the logic, i.ve read many papers on web and i have a
serious of images.
what i.m trying to do is, since "they show the status that a dynamic
system eventually "settles down to" and are a collection of points such
that each point is a function of another point", to use their logic: a
small change in one point effects all the system and changes it
dramatically. They are interesting because within a specific initial
point and dynamical system, they are following the rule which
repeatedly defines a motion through the state space_ a trajectory. In
the long run, they symbolize the observable states of a natural system
which is dynamic. it.s very exciting for me to simulate their
behaviours and generate new forms which are working in the same way for
my architectural project:
it is about learning environments and we think information should be
seen as a dynamical system as well. so, may be, architecture is the
attractor itself in this case.
I want to start with trying to draw them three dimensionally which is a
very literal start but, there is no other way for me to understand
their logic completely. And i don't know how to do because i want to
use their codes/formulas to generate their forms.
So, for those of you who already used mathematica to visualize any of
the attractors 2d or 3d, i would appreciate if you help me with
it...i.m in big trouble with them..
i hope to hear from you very soon.
thanks...
*sorry for this long message...
marien k.
.
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