Overlapping Lollipops

[Joey Wheat]

I know this is a little late to the game, but I had some luck with the lollipop problem posed by Neil back at Christmas. It looks like you can get nine different regions from two lollis. I've attached a drawing I made on desmos.

[Neil Sloane]

Guess you didn't actually read what I posted at Christmas, which included a picture rather like yours showing that with two lollipops you can get 10 regions.  The question I asked referred to three lollipops, not two.   And, as I posted later, there is now an OEIS entry for this problem: A389624.

Best regards

Neil 

Neil J. A. Sloane, Chairman, OEIS Foundation.

Also Visiting Scientist, Math. Dept., Rutgers University, 

Email: njas...@gmail.com

On Fri, Jan 2, 2026 at 9:43 AM Joey Wheat <jraym...@gmail.com> wrote:

I know this is a little late to the game, but I had some luck with the lollipop problem posed by Neil back at Christmas. It looks like you can get nine different regions from two lollis. I've attached a drawing I made on desmos.

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[David desJardins]

Joey's picture does have 10 regions. It's the same picture.

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