Regular Polyhedra:
We figured out that there were 5 polyhedra. You should be able to describe these by name. For instance you should know:
1. How do you make a tetrahedron? What is it made from? How do you put those pieces together?
2. How do you make a octahedron? What is it made from? How do you put those pieces together?
3. How do you make a icosahedron? What is it made from? How do you put those pieces together?
4. How do you make a cube? What is it made from? How do you put those pieces together?
5. How do you make a dodecahedron? What is it made from? How do you put those pieces together?
We also figured out how to find the angle measurement of a regular polygon, and we used that to prove that there weren't any more regular polyhedra. You should be able to answer questions like that:
6.A. Find the angle measurement for an angle in an equilateral triangle. Show
your work.
B. Explain, using your answer to A, why you can't have a regular polyhedron
that has 6 triangles meeting at each vertex.
7. A. Find the angle measurement for an angle in a regular octagon. Show your work.
B. Explain, using your answer to A, why you can't have a regular polyhedron
that has regular octagons for faces.