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Puzzle 123. DIVIDING A SPHERE |
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Using 4 parallel horizontal planes, divide a sphere five feet in
diameter into five parts, with all of them having equal surface areas.
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Bits and Beyond... PI Pi is the ratio of the circumference of a circle to its diameter. The approximation of pi has began as early as the ancient times. One of the well-known one was by the great Greek mathematician Archimedes, who started approximating Pi by inscribing a hexagon into a circle. With the hexagon, pi was calculated to have a value of 3. Doubling the number of sides and inscribing a dodecagon in the same circle, his new value became closer to pi. He continued until he used a 96-gon, and found a better approximation of 3.1419. A similar method was used by the Chinese mathematician Lui Hui. He used a 3,072-gon and acquired a value of 3.1416, a very good approximation approximation.
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