# Intersecting shapes on a flat surface

What is the maximum number of enclosed regions that you can create by drawing two circles and two triangles on a flat surface? Try answering with mathematical arguments.

I don't have any mathematical arguments, but the best I have managed is 33 regions.

• Congratulations Daniel Mathias! You got it right! Commented May 28, 2020 at 23:06

Thanks for the great puzzle!!

The highest I've gotten so far is:

33 regions. Below is a visual representation:

I've also gotten:

32 regions:

30 regions:

29 Regions:

• Ankit, you are very close to the answer. Commented May 28, 2020 at 22:46
• I count only 33 regions where you claim 40... Commented May 28, 2020 at 23:21
• Ok I'll add something to count it @DanielMathias Commented May 28, 2020 at 23:25
• Apparently I did miscount... it is 39. The counting is now included in the picture @DanielMathias Commented May 28, 2020 at 23:33
• Your groups of 10 contain only 8 regions each. Commented May 28, 2020 at 23:40