Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Topic: Re: Transition and Geometry: Association and Transparency
Replies: 0

 Nathaniel Bobbitt Posts: 7 Registered: 12/3/04
Re: Transition and Geometry: Association and Transparency
Posted: Jul 30, 1999 12:17 PM

Walter,

I think that a dynamic geometry, can be seen in terms of ways
of investigating primary geometrical relationships within
the context of associative space, that is, outside of
one-to-one correspondence.

I can see non-uniform splines as an area which could be used
to look into how to reason, observe, and isolate "geometrical
relationships."

I am suggesting a view which uses associative relationships and the
processing of associative neighborhoods.

An example of some of my earlier attempts at looking at
"shape and interaction" is based on overlapping transparent planes.

See:

View all my work ONLY with Netscape!!!
http://artists.banff.org/bobbitt/mm_lzy_eye.htm

N.Bobbitt

>From: "Walter Whiteley" <whiteley@pascal.math.yorku.ca>
>To: ac551@rgfn.epcc.edu
>CC: geometry-institutes@forum.swarthmore.edu,
>whiteley@pascal.math.yorku.ca (Walter Whiteley)
>Subject: Re: Transition and Geometry
>Date: Fri, 30 Jul 1999 10:54:16 -0400 (EDT)
>
>I am interested in related questions from dynamic geometry,
>
>In these situations of 'variable' geometry I think more of a
>'tree' or 'manifold' of changes in the parameters or positions of
>existing objects, although there are examles of adding
>new objects (with new constriants) in inductive processes.
>
>The best understood (not be confused with well understood!)
>example is points in the plane with distance constraints between
>pairs of points (frameworks, linkages, etc.).
>
>I am afraid what I have is either buried in the midst of larger technical
>papers on constraints for CAD or unpublished and even not written.
>However I am interested and would be interested in further bibliography,
>conversations etc.
>
>Walter Whiteley
>York University
>Toronto, Ontario
>

> >
> > I am looking for people (bibliography or formalized data structures)

>working
> > on the study of geometry as it
> > relates to interactivity, transition (entry point: insertion or deletion

>in
> > a neighborhood or feature space). This approach
> > reflects greatly upon real-time updates and modification of
> > the point-set representation in a dynamic behavior. (Consider
> > the rotary sprinkler.)
> >
> >
> > While classical geometry omits the time domain, Interactive
> > behavior makes this classical view of geometry a partial view.
> > How mobile geometry can be?
> >
> > This regard for geometry in a temporal
> > context applies to a variety of cases:
> >
> > 1. particle systems
> > 2. dynamic (non-linear) behavior (optical, acoustical, or sensorimotor).
> > 3. scientific visualization
> >
> >
> > Nathaniel Bobbitt (noche)
> > ac551@rgfn.epcc.edu
> > http://www.geocities.com/researchtriangle/lab/8693/
> > http://artists.banff.org/bobbitt/cd_lay.htm
> > Netscape Open Directory Editor (noche):
> > http://dmoz.org/Arts/Design/New_Media/
> > http://dmoz.org/Arts/Design/New_Media/Dynamic_Programming
> > http://dmoz.org/Arts/Design/Site_Design_and_Environments
> > http://dmoz.org/Computers/Supercomputing
> >
> >
> > _______________________________________________________________
> > Get Free Email and Do More On The Web. Visit http://www.msn.com
> >

>

_______________________________________________________________
Get Free Email and Do More On The Web. Visit http://www.msn.com