**
**# "What Does Empty Space Look Like?"

**presented by****
**

**Kiumars
Kaveh, Eugenia Soprounova and Ivan Soprounov**

(Mathematics, University of Toronto)

### Wednes**day, May 2, 2001
**

6:00 - 9:00
p. m.

at

The Fields Institute**
**

**An intuitive approach to geometry and
topology of manifolds…**

**Imagine a two dimensional ant living
on the surface of a big ball so that she has no idea of the surrounding
three-dimensional space. As she is small, she may think that her world looks
like flat infinite piece of paper. She would also have no perception of the
curvature of her world. Though, if the ant has enough facilities and patience to
paint the ball, she would realize that she is living in a bounded world since
she can finish painting in a finite amount of time and using a finite amount of
paint.**

**Well, in the eyes of four-dimensional
creatures, we may be in a similar situation as the little ant...**

Here is a the worksheet we worked from:

**Here are some solutions:**

**The door prize was:
"Introduction to Geometry" by Prof. H.M.S. Coxeter went to Vlad
Gerchikov. Congratulations!**

#### Back to the *SIMMER*
home page for details.

*This page was last updated: May 08, 2001*