SINGAPORE - Much is made of the late J.R.R. Tolkien's knack for inventing languages, but it turns out the fantasy author was also capable of complicated mathematics.
To create the world of Middle-earth that his books The Hobbit (1937) and The Lord Of The Rings (1954 and 1955) are set in, the British author took pains to calculate details like population growth and maturation rates for the fictional race of the Elves.
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