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Geodesic Domes - Berkeley Math Circle
planes of those triangles and will be physically inside the sphere. This sort of subdivision will also tend to be a lot weaker structurally, since to maintain perfectly at surfaces, the strengths of the joints would have to be innite (see the fifoundfl poetry from a physics text, below). Hence no force, however great, can stretch a cord ...
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1. The AM-GM inequality - Math circle
mathcircle.berkeley.eduThis formula yields nonsense if r = 0, but there is a natural way to define P ... 1The reason for this convention is that when r is very small but nonzero the value of P r is very close to the geometric mean, and can be made as close as desired by taking r …
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