El "PI number" It is a number used in mathematics, it is obtained by dividing the length of a circle by its diameter. It is a totally irrational number, since does not follow a regular pattern and is famous in the use of mathematics in our school days. It is represented by a Greek letter π, a letter that was used to indicate the first letter of the words "periphery and perimeter", a more direct relationship with the periphery of the circle and its diameter.
In our daily life used in numerous projects for the construction of professional materials. It can be seen in infrastructures with pipes, in the manufacture of glasses, bottles or any circular object, such as car wheels. It is also widely used in architecture and in any circular layout such as flight routes. But let's see what other curiosities the number Pi can offer us, since it is one of the most studied numbers in all mathematics majors.
When was the Greek letter used in mathematics?
Journalist Jorge Méndez was First used by the Welsh mathematician William Jones in 1706. Around 40 years later it was popularized by the Swiss mathematician and physicist Leonhard Paul Euler, in his work “Introduction to infinitesimal calculus”.
But this number really was calculated by the famous Archimedes, one of the great mathematicians of the ancient world. It dates back to the years 287-212 BC and it was a work that left him absorbed, so much so that he did not even realize that the Roman soldiers had taken the Greek city of Syracuse, where he was located.
It is a number with infinite decimals
As we have already mentioned, is an irrational number, since we cannot express it with a fraction. Why is this happening? Because has an infinite number of decimal places, without having a firm pattern, a logical composition or repetitive patterns. Although there are so many digits, not many are really used, since NASA itself uses only 15 digits of Pi to accurately calculate mathematical calculations, even if it has to sacrifice some decimals.
Calculate the Number Pi It is one of the purposes that cannot be achieved, since its decimals are infinite. But over the years there have been mathematicians with important resolutions. The sequence 123456 does not appear in the first million decimal digits of Pi, is another of the most curious facts. This fact is surprising, because in a million digits that this sequence does not appear, it makes it an even more unique number.
In 2016, Peter Trueb used 22,4 billion decimal places with the help of a computer. To store it, he used up to two dozen 6TB hard drives.
On March 14, 2019, a Google employee was able to calculate this number using 25 virtual machines and during 121 days of calculation. He used Google Cloud to store it and obtained a figure of 31,4 billion decimal digits.
Timonthy Mullican was able to create a value Pi prices with up to 50.000.000 digits in the year 2020.
Another curious fact about the existence of its decimal numbers is, What scope would it take if we wrote its first 200.000 million of decimals. If we trace them in a straight line on paper, said strip would be so long that it would almost go around the circumference of the Earth.
The first million decimal places of Pi consist of:
99.959 zeros.
99.758 ones.
100.026 twos.
100.229 threes.
100.230 fours.
100.359 fives.
99.548 sixes.
99.800 sevens.
99.985 eights.
100.106 nines.
The number Pi represented in art
It has come to be used in the art of music. British singer-songwriter Kate Bush did a musical version, singing her digits “under an infinite circle”. Another music artist, Michael Blake, turned the sounds of Pi into a song, as he assigned a musical note to each number, then playing a melody that had great success.
In the cinema, Darren Aronofsky in 1998, created the movie “Pi, faith in chaos”, where is shown to a mathematician who thinks the world is based on numbers. Alfred Hitchcock also mentions the number Pi in the film “Torn curtain”.
The value of Pi in the Pyramids and in Ancient Egyptian
As we have already described, the number Pi is obtained by dividing the length of any circle by its diameter. The Egyptians put this number before their discovery, but they used it with other mathematical calculations (n=3,16). For example, if we take a wheel with a diameter of one meter, if we spin it on the ground, we obtain a length of 3,14 meters.
La Great Pyramids of Cheops It harbors many mathematical mysteries. Among them, it stands out to observe how they were able to represent a result with the famous number Pi. To do this calculation, we obtain the base 230,38 m long and the height 146,6 m of the pyramid. Taking twice the length of the base and dividing it by its height, we obtain the value of 3,14297…
This number has been associated without hesitation within Egyptian mythology, since it has been proven that It was used in the creation of the pyramids. If you look at the vertical height of the pyramids, they have the same relationship with the perimeter of their base, in the same way as the relationship between the radius of a circle and its circumference.
Other interesting facts about the number Pi
- The number Pi It is a number calculated almost exactly, Until now the exact area or circumference of a circle cannot be found. But for many mathematicians, they operate on the basis that a circle has infinite corners and that is exactly how they would define a circle. It's really like assuming you have an infinite number of corners and that correlate with the infinite number of digits of pi.
- There is the World Pi Number Day, It is March 14, that is, 3/14, a date that correlates with numbers. This day is mainly celebrated in the USA.
- Hay a record for reciting the number Pi with its decimals. This is Rajveer Meena from VIT University in Vellore, India. He did it on March 21, 2015 and was able to recite up to 70.000 decimal places.
Here we present the first 1,500 decimals of the number Pi:
3.1415926535 8979323846 2643383279 5028841971 6939937510 5820974944 5923078164 0628620899 8628034825 3421170679 8214808651 3282306647 0938446095 5058223172 5359408128 4811174502 8410270193 8521105559 6446229489 5493038196 six 4428810975 6659334461 2847564823 3786783165 2712019091 4564856692 3460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989 3809525720 1065485863 2788659361 5338182796 8230301952 0353018529 6899577362 2599413891 2497217752 8347913151 5574857242 4541506959 5082953311 6861727855 8890750983 8175463746 4939319255 0604009277 0167113900 9848824012 8583616035 6370766010 4710181942 9555961989 4676783744 9448255379 7747268471 0404753464 6208046684 2590694912 9331367702 8989152104 7521620569 6602405803 8150193511 2533824300 3558764024 7496473263 9141992726 0426992279 6782354781 6360093417 2164121992 4586315030 2861829745 5570674983 8505494588 5869269956 9092721079
