by 6. Pólya believed that symmetry assisted in problem solving by reducing and ordering the observable facts.

Examples

Mathematics

The sum of the integers from 1 to 100 can be calculated by pairing the outer two integers (1+100=101), the next two integers (2+99=101) and continuing the process to the two inmost integers (50+51=101). The process yields 50 pairs each with a sum of 101, totalling 5,050. The solution of the problem is traditionally attributed to Carl Friedrich Gauss.

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