Originally posted by Highkeas
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To draw on the surface of a sphere a circumference (or an arc of it) that has a radius/diameter/perimeter longer than that of the sphere itself is a mathematical impossibility. Period.
So if you calculate the intersection between a cone and a sphere and get a circumference with a radius/diameter/perimeter longer than that of the sphere itself, either you managed to do something that is mathematically impossible or you did Sum Tim Wong. For some reason that I don't completely understand, I am a tad biased to believe it's the second option.
I don't have time right now, but later I will come back on this to see if I find what's wrong and how it would be correct. That, or we can publish this puzzle in the Brain Teaser thread in the The Briefing Room sub-forum here.
I invite you to check your notes in the meantime.
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