Dear Ted,
> But what I was wondering is if mathematicians would be excited about
> being able to obtain physical versions of 3D model they generated or
> would they think "what's the point"?
Some mathematicians would certainly be excited!
E.g., Jürgen Bokowski, who made a lot of pottery (http://
wwwopt.mathematik.tu-darmstadt.de/~bokowski/pottery.php) and other
models of mathematical objects (Oriented Matroids, triangulated
manifolds,...).
Recently he wanted to find whether there is a PL-embedding into R^3 of
a certain abstract triangulated surface. The computer didn't find one.
So he made a physical model, reading off the vertex coordinates from
that model, and eventually verified by computations that these
coordinates really yield an embedding that makes any simplex flat.
So, yes, 3d-models are nice to some (probably not most)
mathematicians, and likely they are nice for teaching.
Simon
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