Unformatted text preview: fe on a string. That sucks
How can we understand a situation closer to
How can we
model threedimensional space?
d e s c ri b e s h a p e s i n t h a t s p a c e ?
describe physical properties of objects in space (center of mass,
d e n s i t y , e t c . )? Questions we
might ask: Question
How does it feel to fly along this trefoil path? Question
How do we find lines perpendicular to a surface (even a weird one)? Question
What makes this shape... Question
...different from this one? Properties we might examine
We could try to characterize shapes and objects
using things like
Curvature (what is this?)
Surface area (I think I know what this is)
Volume (OK, whatever)
What other mathematical properties might distinguish objects?...
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