File:Cube to dodecahedron 240px.gif - Wikipedia, the free encyclopedia

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Construction of a dodecahedron basing on a cubeImage via Wikipedia

File:Cube to dodecahedron 240px.gif - Wikipedia, the free encyclopedia
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6174 (number) - Wikipedia, the free encyclopedia

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6174 (number) - Wikipedia, the free encyclopedia : "6174 is known as Kaprekar's constant[1][2][3] after the Indian mathematician D. R. Kaprekar. This number is notable for the following property: Take any four-digit number, using at least two different digits. (Leading zeros are allowed.) Arrange the digits in ascending and then in descending order to get two four-digit numbers, adding leading zeros if necessary. Subtract the smaller number from the bigger number. Go back to step 2. The above process, known as Kaprekar's routine, will always reach its fixed point, 6174, in at most 7 iterations.[4] Once 6174 is reached, the process will continue yielding 7641 – 1467 = 6174"
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