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The ratio of the measurements of the monoliths in Arthur C. Clarke's 2001: A Space Odyssey and later books/movies in the series. The significance of this ratio is that it is equal to (1^2):(2^2):(3^2), or the squares of the first three integers.

According to the narrator of 2001: A Space Odyssey, we would be very naive to believe that the ratio stops there. The measurements, he insinuates, go into even higher spatial dimensions, with a ratio of the square of the integers. 1:4:9:16:25:36.....

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