Challenge+Problems

4. Challenge your mind thinking about famous math problems that have stumped people for centuries and learn a bit of history at the same time. Famous Problems in the History of Mathematics

3. See if you can come up with an explanation or informal proof for __why__ the Polygon Sum Conjecture works for concave polygons when the diagonals are outside the polygon.

2. Can you construct using ruler and compass a pentagram? How about a Hexagram? (See image)

Go to http://www.geomancygroup.org/pentagram.html if you would like instructions how to do the construction.

1. Euclid did not believe in using a compass to 'measure' the length of a segment. He used a 'collapsible' compass. This means that every time you pick the compass up off the paper, it falls together. Using a collapsible compass, can you copy a line segment?