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# Three Big Wheels

8 replies to this topic

### #1 bonanova

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Posted 09 May 2013 - 09:14 AM

How much of the area of a 3 4 5 right triangle can be covered
by three non overlapping circles completely contained by the triangle?

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Posted 09 May 2013 - 03:19 PM

How much of the area of a 3 4 5 right triangle can be covered
by three non overlapping circles completely contained by the triangle?

Spoiler for i have

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### #3 TimeSpaceLightForce

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Posted 09 May 2013 - 05:24 PM

Spoiler for

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### #4 TimeSpaceLightForce

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Posted 09 May 2013 - 05:45 PM   Best Answer

Spoiler for

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Posted 10 May 2013 - 01:47 AM

Spoiler for now i have

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### #6 bonanova

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Posted 13 May 2013 - 12:05 PM

I programmed the Malfatti circles for this problem.

They give 66.27% coverage, thought initially to be optimal, clearly not.

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The greatest challenge to any thinker is stating the problem in a way that will allow a solution.
- Bertrand Russell

### #7 TimeSpaceLightForce

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Posted 13 May 2013 - 03:22 PM

I programmed the Malfatti circles for this problem.

They give 66.27% coverage, thought initially to be optimal, clearly not.

but 1.01 for r1 is stepping on the line..the limit is 1

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### #8 bonanova

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Posted 14 May 2013 - 03:39 AM

I programmed the Malfatti circles for this problem.

They give 66.27% coverage, thought initially to be optimal, clearly not.

but 1.01 for r1 is stepping on the line..the limit is 1

The incircle has radius of 1. Good catch ...

The competition is still open.

I'll mark it solved at 74.13 until/unless a better number comes in.

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Posted 14 May 2013 - 03:56 AM

darn

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