Wednesday, July 7, 2010

12

12 = 22 x 3.

12 is the sum of the first three even integers and the sum of thee consecutive odd integers: 12 = 2 + 4 + 6 = 3 + 4 + 5.

A regular dodecahedron has a regular pentagon on each of its 12 faces.


12 has a unique representation as a sum of three squares: 12 = 22 + 22 + 22.

12 is the number of integer partitions of 11 into distinct parts.

12 is 22 in base 5.

There are 12 ways to arrange eight queens on a chessboard so that no queen can capture any other queen (not counting rotations and reflections as being different). Can you find one of these chessboard arrangements?

12 is a dozen. There are 12 months in a year and 12 inches in a foot; 12 o'clock is midday or midnight. There are 12 signs of the Zodiac, 12 apostles, and typically 12 people in a jury.

Source: Phillips, R. 1994. Numbers: Facts, Figures and Fiction. Cambridge University Press.
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