this post was submitted on 15 Feb 2025
14 points (100.0% liked)
Daily Maths Challenges
223 readers
2 users here now
Share your cool maths problems.
Complete a challenge:
- Post your solution in comments, if it is exactly the same as OP's solution, let us know.
- Have fun.
Post a challenge:
- Doesn't have to be original, as long as it is not a duplicate.
- Challenges not riddles, if the post is longer than 3 paragraphs, reconsider yourself.
- Optionally include solution in comments, let it be clear this is not a homework help forums.
- Tag [unsolved] if you don't have a solution yet.
- Please include images, if your question includes complex symbols, attach a render of the maths.
Feel free to contribute to a series by DMing the OP, or start your own challenge series.
founded 1 year ago
MODERATORS
you are viewing a single comment's thread
view the rest of the comments
view the rest of the comments
it's like the shape of two soap bubble touching : at every point where three walls meet there is three times 120°
It looks good, however when I compute the area, I get 4.4872..., which is less than what I get for the single circle. I could be wrong though, as others seem to be getting 4.94.
Edit: I found my mistake! I was using the wrong formula for the altitude of the equilateral triangle. Now I get 4.9458..., which is by far the best result so far. Thank you!
i have the same result, glad for your rabbits (and for you) !
P.S. : You can change the flare to [solved]
I've implemented a gradient descent algorithm in python to optimize the shape, and I get essentially the same thing:
I'm changing the title to solved :)
Here's the code: https://pastebin.com/wKvhVvQg
You have the best solution so far, but I wouldn't call it solved yet, since we don't have any proof or indication that it is the best solution that exists.