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" "I started with a kind of artistic approach... I visualized the best-looking shapes and sizes. I worked with the variables until it got to the point where, if I changed one of them, it didn't get any better... [only then I] figure out the mathematical formula to produce that effect.
Arthur H. Robinson (January 5, 1915 – October 10, 2004) was an American geographer and cartographer, who was professor in the Geography Department at the University of Wisconsin in Madison from 1947 until he retired in 1980. He was a prolific writer and influential philosopher on cartography, and one of his most notable accomplishments is the in 1961.
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Take an orange and draw something on it -- say, a human face. Now carefully remove the peel, trying to keep it in one piece, and flatten it against your kitchen table. You'll see that in making a two-dimensional object out of a round one, something has to give. Either the face gets distorted and looks all 'mushed out,' or in flattening the peel, it breaks into segments, dividing the face as well into several parts. A cartographer chooses between a series of those kind of lesser-of-two-evils alternatives.