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The true model of the earth would be called an oblate spheroid. The earth is close to spherical, but bulges a little around the middle (equator). There is also a term for the theoretical 'average earth' if you will, that is the best possible fit between mathematical model and the actual physical planet. It is called the geoid. Surface altitude is calculated for a given spot based not on the physical earth, but on the location of the theoretical geoid at that spot.

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