October 25, 2011
Host: Dr. Maria Wesslen
Topic: Making 3D objects from 2D shapes, and other geometrical puzzles.
In this week’s Math Circle, we will explore 2D shapes such as pentagons and hexagons etc. and see if/how they can be used to make 3D objects. We will try to prove some of our findings and we will consider some other geometrical problems we well.
Here is a warm up problem you can get started with right away (although it might be pretty tricky…):
In this diagram, a regular hexagon and a regular pentagon overlap each other. How large is the marked angle?