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.
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2 Answers
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I don't have any mathematical arguments, but the best I have managed is 33 regions.
answered May 28, 2020 at 22:56
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$\begingroup$ Congratulations Daniel Mathias! You got it right! $\endgroup$ Commented May 28, 2020 at 23:06
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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:
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$\begingroup$ Ankit, you are very close to the answer. $\endgroup$ Commented May 28, 2020 at 22:46
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$\begingroup$ I count only 33 regions where you claim 40... $\endgroup$ Commented May 28, 2020 at 23:21
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$\begingroup$ Ok I'll add something to count it @DanielMathias $\endgroup$– AnkitCommented May 28, 2020 at 23:25
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$\begingroup$ Apparently I did miscount... it is 39. The counting is now included in the picture @DanielMathias $\endgroup$– AnkitCommented May 28, 2020 at 23:33
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$\begingroup$ Your groups of 10 contain only 8 regions each. $\endgroup$ Commented May 28, 2020 at 23:40