Answers to problems 1-3

1. The main places where the two spirals have the same colors in the same places are:

• The center black dot
• The red, blue, yellow and green sections on the very edge of the spiral

There are also several small places where spirals of the same color cross. I have tried to show as many as I can of these here:

Note: I am currently planning to put a problem similar to this on the quiz, but with a little less detail (these spirals spiral around so much it's kind of hard to follow)

2.

note: I am planning to put a problem similar to this on the quiz, and in particular, I am likely to give you an overlay picture (where I show you where the triangle lies inside the circle)

3. This is the loophole we discussed in class:

The fixed point in this case is the point in the center of the circles