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Scott Cram Inner circle 2678 Posts |
Here's a challenging geometry puzzle for you. Here's a picture of the traditional Yin-Yang symbol. What is the equation of the line that goes through this symbol so each side of the line contain exactly equal amounts of black & white?
The outside is a unit circle (radius = 1 unit). The arcs sweeping from the edge of the circle to the center, of course, have a radius of 1/2 of a unit. The dots in the opposite-color field have a radius of 1/6 of a unit. |
wulfiesmith Inner circle Beverley, UK 1339 Posts |
Hi Scott,
I know ... this is an old thread. But I have just "discovered" it. I bought "Day One" from you many years ago. It is a product of pure genius. Consequently, I have the greatest respect for you. Which is why this thread must go answered; well, so to speak. Having said that, I have no idea what the answer is. It is suffice to say ... you lead and we follow. regards, wulfiesmith (UK) |
EdgarWilde Regular user 127 Posts |
Surely any diameter would work? Of have I misunderstood the question?
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Rayman New user Brooklyn 82 Posts |
I'm having difficulty finding the radius of the small, inner circles. If I can find that, I believe it's solvable using integration/calculus. What am I doing wrong here? Throw me a bone??
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leonard Regular user North Carolina 151 Posts |
Quote:
On Jun 12, 2024, EdgarWilde wrote: I think that each side of "any diameter" will have "inverse" areas of black and white. That is, what is black on one side will be white on the other side. |
leonard Regular user North Carolina 151 Posts |
Quote:
On Sep 9, 2024, Rayman wrote: I believe that the problem statement indicates these radii as 1/6 of a unit. |
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