I hope I'm not misusing or abusing our network, but I'm hoping some one
of you may be able to help me on a project. Before I start here's
something more in the math-fun spirit. I'm offering two hundred bucks
($200) for a solution of the following Nim varient.
There are 4 piles, ordinary Nim rules, the only difference being
that the game ends when three of the four piles are empty.
To get down to business, I've received a small grant from the Sloan
Foundation to look into the possibility of creating an on line Museum of
Mathematics. Yes, I know there are lots of very nice mathematical sites,
some belonging to members of this group, that already exist, (and I'm
eager to learn about more of them) but this project is a little
different. Primarily, my exhibits must be highly interactive like
this link from the San Francisco Exploratorium (which unfortunately has
nothing to do with mathematics).
http://www.exploratorium.edu/exhibits/mix_n_match/
In fact I what I'm trying to make is a sort of on line
mathematical Exploratorium, which will give you an idea of the intended
audience.
(I thought of calling it The Mathematics DiscoverySite.)
The present modest aim of the project is to create two or three high
quality, that is to say, "cool" prototype exhibits. The
theory is that if these are sufficiently impressive then other members of
the math community who are currently creating things on their own web
sites will want to think up and contribute exhibits, and in this way the
Museum would continue to expand and evolve over time.
Last year with the help of two bright undergraduates we started on this
prototype project. Due to limitations of time and resources we didn't get
very far. In fact the main lesson from the links below is that they show
what not to do. Nevertheless I think the ideas were good. The
first exhibit is pure math, illustrating the Glur-Hadwiger Theorem which
says that any two polygons of the same area are
"equidecomposable" and moreover the corresponding pieces in the
two dissections are congruent either by translation or central
reflection.
This allows for lots of clicking and dragging, animation etc. as you can
imagine.
http://mathmuseum.math.berkeley.edu/triangle/triangle_square.html
The second applied math link is intended to give the visitors some idea
of what sorting theory is about.
http://tacnode.com/dev/sorting/beta/Sorting.html
My first goal is to create really good applets for these two exhibits
(which probably involves starting over).
So please, if any of you know of some good programmers who might want to
get involved in this enterprise could you put me in
touch with them.?
Thanks,
David