![]() This simulation relies on the repeated sampling of random numbers to obtain certain numerical results. Monte Carlo simulationĪ more modern (and fun) approach to the calculation of pi is using a Monte Carlo simulation. Undeniably, this method is very inaccurate. When we divide these values we should get a result close to pi. Knowing this we could draw a circle and measure both the perimeter and the diameter. Pi is defined as the result of the division of the perimeter of a circle and this circle’s diameter. Now that we know the reasons behind calculating new digits, let’s take a look at different methods that actually do so. It could also be used for more accurate weather forecasting, DNA sequencing, or even COVID modeling. The researchers themself plan to use their findings to conduct computational fluid dynamics, deep learning, and RNA analysis. These optimizations can then be used to solve real-world problems involving these types of algorithms. When a team of researchers breaks the former record, that means they found a way to optimize both the supercomputer as the multiplication algorithms used to perform the needed calculations. It’s not about the destination, It’s about the journey.Ĭalculating new digits of pi is both challenging for the supercomputers used as for the algorithm that is running on these computers. So why do we put so much effort into computing pi? Well, as Ralph Waldo Emerson once said: ![]() This shows that we don’t need a crazy amount of digits to make very precise calculations. With 66 digits we can even calculate the size of the observable universe within a Plank Length (1 Planck length = 1.61622837 × 10⁻³⁵ meters). Make that 33 digits and we can calculate the circumference of the entire Milky Way galaxy to the precision of a single hydrogen atom. With the first eleven digits (3.1415926536) we could calculate the earth’s circumference to less than a millimeter precision. Why keep calculating?įor most calculations, an engineer only needs the first three digits of pi (3.14). Although that might sound like a long time, this is actually about 3.5 times faster than the previous record. Their calculations used a high-performance computer that had to run for 108 days and nine hours to compute these digits. This year, Swiss researchers from the university of applied sciences in Graubünden beat the last record with 62.8 trillion digits. Timothy Mullican broke this record in 2020 with 50 trillion digits. In 2019, Google calculated the first 31.4 trillion digits. We need to perform calculations to know which digit is next.Īlmost every year researchers find new ways to calculate more digits of pi. But, an irrational number doesn’t have a pattern. First a zero then a nine then another zero and so on. For example, 1/11 (= 0.0909…), which exists out of an endless amount of zero’s and nine’s repeating themself in a consistent pattern. That means that it has infinitely many decimals. This number describes the relationship between the diameter and the circumference of a circle.
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