

Scott Cram Inner circle 2678 Posts 
Here's a challenging geometry puzzle for you. Here's a picture of the traditional YinYang 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 oppositecolor 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 126 Posts 
Surely any diameter would work? Of have I misunderstood the question?

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??

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. 
The Magic Cafe Forum Index » » Puzzle me this... » » YinYang Challenge (1 Likes) 
[ Top of Page ] 
All content & postings Copyright © 20012024 Steve Brooks. All Rights Reserved. This page was created in 0.01 seconds requiring 5 database queries. 
The views and comments expressed on The Magic Café are not necessarily those of The Magic Café, Steve Brooks, or Steve Brooks Magic. > Privacy Statement < 