Answer to the home page question: (5π/3)*(3√2 - 4)
See Weisstein, Eric W. "Sphere-Sphere Intersection." From MathWorld--A Wolfram Web Resource.  This is the link.
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function_88 Interesting complex valued function : n = 1 ( z n ) n MathType@MTEF@5@5@+=faaagCart1ev2aaaKnaaaaWenf2ys9wBH5garuavP1wzZbqedmvETj2BSbqefm0B1jxALjharqqtubsr4rNCHbGeaGqiVu0Je9sqqrpepC0xbbL8FesqqrFfpeea0xe9Lq=Jc9vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9Gqpi0dc9adbaqaaeGaciGaaiaabeqaamaabaabaaGcbaWaaabmaeaadaqadaqaamaaliaabaGaamOEaaqaaiaad6gaaaaacaGLOaGaayzkaaWaaWbaaSqabOqaaiaad6gaaaaaleaacaWGUbGaeyypa0JaaGymaaqaaiabg6HiLcqdcqGHris5aaaa@38F7@

level_8Project Euler

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