How Many Circles?

There are many triangles on a plane. Each is divided into four parts by two mutually perpendicular diameters. Each part is painted either red, yellow or blue. No matter how the circles are rotated in a plane, they are
different from one another. At most, how many circles are painted with all
three colours?

At most, how many circles are painted with all three colors?

Are there any other ways to color the circle with two reds, a yellow and a blue?
Now you need to find out how many different three-color circles there are.

pka

I wonder how you create these wonderful pictures. Yes, I can take it from here. I love your diagrams, honestly. How can I do that? What is the name of the software?

If you use Windows, the PAINT program is a standard.
Mac users need something like ClarisWorks. It has a paint program in it.
If you have never played with these, you ought do so.
BUT, be sure to save_as gif file. They are smaller and therefore load better.
There several free hosting sites.
I use this one: http://www.imageshack.us/