Today is a pleasant day for any mathematician, since March 14 is the international Day of Pi (in American culture, this date is recorded in 3.14 format). As you know, Pi number for many years is one of the favorite objects of attention of the creators of supercomputers. Calculating more and more decimal places is a kind of industry rule of decency. It reached the point that already known about 10 trillion decimal places. One snag is that even the most accurate calculations use a maximum of 1000 decimal places. However, the calculation of characters used, for example, to test the performance of the same supercomputers.
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There are many people among scientists who are drawn to art. Of these scientists, not alien to the sense of beauty, Martin Krzywinski (Martin Krzywinski) and Christian Vasil (Cristian Vasile). With the help of the Circos package, they created a very beautiful visualization of Pi.
The sequence and transitions of the first 10,000 decimal places.
The sequence and transitions of the first 1,000 decimal places.
The sequence and transitions of the first 10,000 decimal places.
The distribution of the first 13,689 decimal places.
Possible transitions for every 10-digit intervals in the first 2,000 decimal places for π, φ, and e numbers.
Distribution and transitions for the first 10,000 characters in an accidental similarity number (ASN).
Congratulations to all, and mathematicians in particular, on the International Day of Pi!