Building Numbers

Sat, 04 Aug 2007

Time for another graph. If you take the digits in a number, and use any combination of +, -, * and /, then you can build other numbers. For example, with the number 62 you can make 3 (6 / 2), 4 (6 - 2), 8 (6 + 2) and 12 (6 * 2). So if you take all the two digit numbers, then find out which ones can build other two digit numbers. An arrow from a number to another indicates that it can build the other:

Graph of 2-digit number building in base 10

Or 3 digit numbers: Graph of 3-digit number building in base 10

You can also do it in different bases, like octal:

These are the 3 (octal) digit connections: Graph of 3-digit number building in base 8

Not much else too this. I just like graphs.

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