Pythagorean Table

Pythagorean Table

Table of n rows and n columns in which the boxes are located by pairs of elements in a set with n elements that present the results of an operation.

Example

Pythagorean table of the addition of integers modulo 4.
+ 0 1 2 3
0 0 1 2 3
1 1 2 3 0
2 2 3 0 1
3 3 0 1 2

Historical Note

This presentation of the results of an operation in a table is attributed to the Greek mathematician and philosopher Pythagoras, to whom we also attribute many other results. The table allows us to quickly locate the properties of certain numbers or certain operations, like the multiples of 9 in a multiplication table, where we can quickly observe that the digital sum of the products is also a multiple of 9.

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