Tool for locating digits or numbers within the decimals of the constant τ = 6.2831853… The Tau number is an irrational number sometimes preferred to 2*Pi with an infinite decimal expansion.

Tau Digits τ=6.2831853… - dCode

Tag(s) : Mathematics, Fun/Miscellaneous

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The Tau number (τ) is a mathematical constant that represents the ratio between the circumference of a circle and its radius. It is an alternative to the number π (pi), and its approximate value is 6.2831853.

Detecting a number within the decimals of `Tau` requires systematically traversing all the decimals in their sequence, there is no possible alternative. It remains impossible to anticipate in advance a specific number and its position within $ \tau $.

__Example:__ `8` is is position `2` and `5` (and many others)

For dCode, in the number 6.**2**831, the first decimal `2` is at position `1`. However, some software treats it as position `0` (due to computers counting from `0`), while others place it in position `2` (taking the number `6` before the comma like position 1).

Also known as Al-Kashi's constant, `Tau` is often replaced by $ 2\pi $, it is sometimes called twin or big brother of Pi ($ \pi $).

There are an infinity of decimals in the constant τ = 6.2831853… Supercomputers are constantly looking for new decimals. dCode is familiar with `Tau` decimal places up to 1000000 decimal places (one million decimal places of Tau).

Tau is equal to 2 times Pi: $$ \tau = 2 \pi $$

Tau is sometimes used as a useful abbreviation in concepts related to circles and trigonometry. Some educators feel that using Tau simplifies formulas and makes concepts more intuitive for students.

The debate between the use of Tau and Pi largely stems from the personal preference of mathematicians and the perceived advantages of each constant. Some consider Tau to be more natural for calculations related to circles, while others prefer the tradition and familiarity of Pi.

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Cite as source (bibliography):

*Tau Digits τ=6.2831853…* on dCode.fr [online website], retrieved on 2024-09-10,

decimal,tau,pi,dot,6,28,2831853,digit,number,constant

https://www.dcode.fr/tau-digits

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