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Each number is unique in the sense that it is the only number that has that particular value.

Ï€ is the ratio of the circmference of a circle to its diameter.

There are very many infinite series that converge to π. Some of these are simple, like the example below. Others are much more complicated (see link). Some converge to π slowly, others are much faster.

Ï€ = 4/1 - 4/3 + 4/5 - 4/7 + 4/9 ...

or

Ï€2/6 = 1/12 + 1/22 + 1/32 + ...

My personal favourite is a special case of Euler's identity: eiπ + 1 = 0. It is so very simple but states the relationship between the five most important numbers in mathematics.

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Q: What are the unique mathematical properties in pi?
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