42 interesting facts about PI (π)

Pi is the most famous constant in the mathematical world and equals 3, 1415926535 ...

In the Star Trek episode, "The Wolf in the Sheepfold, " Spock commands a foil computer to "calculate pi to the last digit."

Comedian John Evans once quipped: “What do you get if you divide the circumference of a pumpkin lantern with cut holes in the form of an eye, nose and mouth by its diameter? Pumpkin π! "

Scientists in Carl Sagan's novel "Communication" tried to unravel the rather precise meaning of Pi in order to find hidden messages from the creators of the human race and open access to "deeper levels of universal knowledge" for people.

Pi (π) has been used in mathematical formulas for over 250 years.

During the famous trial of O.J. Simpson, a dispute arose between attorney Robert Blasier and an FBI agent about the actual meaning of Pi. All this was conceived in order to identify shortcomings in the level of knowledge of a civil service agent.

The Givenchy men's cologne, called Pi, is for attractive and forward-thinking people.

We will never be able to accurately measure the circumference or area of ​​a circle, since we do not know the full value of pi. This "magic number" is irrational, that is, its numbers are always changing in a random sequence.

In the Greek ("π" (piwas)) and English ("p") alphabets, this character is located at the 16th position.

In the process of measuring the dimensions of the Great Pyramid in Giza, it turned out that it has the same ratio of height to the perimeter of its base as the radius of a circle to its length, that is, 1 / 2π

In mathematics, π is defined as the ratio of the circumference of a circle to its diameter. In other words, π is the number of times the diameter of the circle is equal to its perimeter.

The first 144 digits of Pi after the decimal point end with 666, which are referred to in the Bible as "the number of the beast."

If we calculate the length of the Earth's equator using the number π to the ninth decimal place, the error in the calculations will be about 6 mm.

In 1995, Hiryuki Goto was able to reproduce 42 195 digits of pi after the decimal point from memory, and is still considered the real champion in this field.

Ludolph van Zeulen (born 1540 - died 1610) spent most of his life calculating the first 36 digits after the decimal point of Pi (which were called "Ludolph's digits"). According to legend, these numbers were engraved on his tombstone after his death.

William Shanks (b.1812-d.1882) worked for years to find the first 707 digits of pi. As it turned out later, he made a mistake in the 527th digit.

In 2002, a Japanese scientist calculated 1.24 trillion digits in Pi using a powerful computer Hitachi SR 8000. In October 2011, π was calculated with an accuracy of 10, 000, 000, 000, 000 decimal places.

Since 360 ​​degrees in a full circle and Pi are closely related, some mathematicians were delighted to learn that the numbers 3, 6, and 0 are in the three hundred and fifty-ninth decimal place in Pi.

One of the earliest references to Pi can be found in the texts of an Egyptian scribe named Ahmes (circa 1650 BC), now known as the Ahmes (Rinda) papyrus.

People have been studying the number π for 4000 years.

The Ahmes papyrus captures the first attempt to calculate the number of pi by "squaring a circle", which consisted in measuring the diameter of a circle from the squares created inside.

In 1888, a doctor named Edwin Goodwin declared that he possessed the "supernatural significance" of the exact measure of the circle. Soon, a bill was proposed in Parliament, by which Edwin could publish the copyright for his mathematical results. But that never happened - the bill didn't become law, thanks to a mathematics professor in the legislature, who proved that Edwin's method led to another incorrect value of pi.

The first million decimal places in Pi consists of: 99959 zeros, 99758 ones, 100026 twos, 100229 triples, 100230 fours, 100359 fives, 99548 sixes, 99800 sevens, 99985 eights and 100106 nines.

Pi Day is celebrated on March 14 (it was chosen due to its similarity with 3.14). The official celebration begins at 1:59 p.m. to ensure full compliance with 3/14 | 1: 59.

The value of the first numbers in the number Pi was first correctly calculated by one of the greatest mathematicians of the ancient world, Archimedes of Syracuse (born 287 - died 212 BC). He presented this number in the form of several fractions According to legend, Archimedes was so carried away by the calculations that he did not notice how the Roman soldiers took his hometown of Syracuse. When the Roman soldier approached him, Archimedes shouted in Greek: "Don't touch my circles!" In response, the soldier stabbed him with a sword.

The exact value of Pi was obtained by the Chinese civilization much earlier than the Western one. The Chinese had two advantages over most other countries in the world: they used the decimal notation and the zero symbol. On the contrary, European mathematicians did not use the symbolic designation of zero in counting systems until the late Middle Ages, until they came into contact with Indian and Arab mathematicians.

Al-Khorezmi (the founder of algebra) worked hard on calculating the number Pi and achieved the first four numbers: 3, 1416. The term "algorithm" comes from the name of this great Central Asian scientist, and from his text Kitab al-Jaber wal-Mukabala the word "algebra ".

Ancient mathematicians tried to calculate pi, each time inscribing polygons with more sides, which fit much closer to the area of ​​the circle. Archimedes used a 96-gon. Chinese mathematician Liu Hui wrote the 192-gon, and then the 3072-gon. Tsu Chun and his son managed to fit a polygon with 24, 576 sides.

William Jones (born 1675 - died 1749) introduced the symbol "π" in 1706, which was later popularized in the mathematical community by Leonardo Euler (born 1707 - died 1783).

The pi symbol "π" began to be used in mathematics only in the 1700s, the Arabs invented the decimal system in 1000, and the equal sign "=" appeared in 1557.

Leonardo da Vinci (born 1452 - died 1519) and the artist Albrecht Durer (born 1471 - died 1528) had little experience in "squaring the circle", that is, they owned the approximate value of pi.

Isaac Newton calculated Pi to 16 decimal places.

Some scientists argue that people are programmed to find patterns in everything, because this is the only way they can give meaning to the whole world and to themselves. And that is why we are so attracted by the "irregular" number Pi))

Pi can also be referred to as "circular constant", "Archimedean constant" or "Ludolph's number".

In the seventeenth century, Pi went beyond the circle and was used in mathematical curves such as the arch and the hypocycloid. This happened after the discovery that in these areas some quantities can be expressed in terms of the number Pi itself. In the twentieth century, pi was already used in many mathematical fields such as number theory, probability and chaos.

The first six digits of Pi (314159) are reversed at least six times in the first 10 million decimal places.

Many mathematicians argue that the correct formulation would be: "a circle is a figure with an infinite number of angles."

Thirty-nine decimal places in Pi is sufficient to calculate the circumference of the known space objects in the Universe, with an error of no more than the radius of a hydrogen atom.

Plato (born 427 - d. 348 BC) received a fairly accurate value of Pi for his time: √ 2 + √ 3 = 3, 146.