Happy Pi Day! What the number is actually used for
Happy Pi Day! What the number is actually used for
Mystical, magical pi has captured the imaginations of mathematicians for almost 4,000 years. An irrational number that stretches to infinity and beyond, pi is more than just an esoteric mathematical puzzle鈥攊t's a reassuring constant that regulates the patterns and rhythms of the natural world around us, as well as within us.
Merriam Webster defines pi as both the symbol (蟺) representing the ratio of the circumference of a circle to its diameter, as well as the ratio itself鈥攁 transcendental number generally rounded to 3.14159265. The Babylonians and the ancient Egyptians were both conscious of the concept of pi in its most basic expression. Around 250 B.C., the Greek mathematician Archimedes of Syracuse extended pi to 3.141. In the early 1990s, the Chudnovsky brothers, using a computer cobbled together in their cramped Manhattan apartment, . More recently, .
In honor of international Pi Day鈥攖he 14th day of the third month of the calendar year鈥斅槎乖 has isolated 20 of the most accessible uses of pi in everyday lives. So whether you choose to celebrate with cherry, pizza, or chicken pot pie, rest assured: On Pi Day you can have your pi and eat it, too.
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Birth of pi
Pi is used to determine the area of a circle. Pi's importance, however, extends far beyond that simple calculation. It stars in a number of other, larger mathematical equations, including and the , both of which have had a tremendous impact on the fields of science, technology, and engineering. The snappy symbol 蟺, derived from the Greek alphabet, was introduced by Welsh mathematician William Jones in the early 18th century.
Piping hot pi
Pi is an essential element of the Fourier transform, developed in 1822 by French mathematician Jean-Baptiste-Joseph Fourier to measure the movement of heat waves. The equation continues to inform the design of . Scientists at the University of Maryland recently created a , which instinctively warms the body, vetting the material's effectiveness with a Fourier-transform IR spectrometer.
Pi and DNA
Pi can be used to measure one of the most basic components of human life鈥擠NA. The ladder-like structure of DNA contains a mind-boggling amount of genetic information, typically measuring 1.8 meters long. Amazingly, this string manages to wrap itself into a tiny, 10-micron sphere鈥.
Population proportion
What proportion of the American population has brown eyes? Owns their home? Can speak a foreign language? All of these questions can be answered with the help of the Greek letter 蟺 (pi), .
Rolling on a river
In 1926, , which are similar to circles. As with all things that curve or bend, pi appears to inform the length of meandering rivers, . In 1996, Hans-Henrik Stolum built on Einstein's observations, determining that the .
Pi and the Pyramids
In 1859, British writer and theorist John Taylor realized that the perimeter of the . Like their ancient Egyptian predecessors, modern architects and engineers also rely on pi when , such as pillars and pipes.
Siesmic pi
Vibrations鈥攊ncluding those created by earthquakes鈥攖ravel in waves, and can, therefore, be measured by the Fourier transform. Engineers and architects can consult data gleaned from to design buildings capable of withstanding the potentially disastrous effects of shifting tectonic plates.
Electric pi
The drudgery associated with household chores is decidedly less onerous thanks to modern electrical appliances鈥攁ll of which owe their existence to pi. Pi is critical for the . The larger the wave pattern, the bigger the wire needed to contain the power coursing through it.
Pi plays ball
Whether you're knocking it out of the park, dunking it through a hoop, or slamming it cross court, a ball is essentially a simple sphere. As with the manufacture of any spherical object, its surface area, which determines the amount and cost of the materials necessary for production, is .
Computing pi
It took a supercomputer to calculate pi to a jaw-dropping , yet without pi, which is used to , computers never would have existed. Engineers also rely on pi to determine the size and shape of a computer, as well as necessary air flow.
Cake or pi?
Pi may be squared, but cakes, generally speaking, tend to be round. When calculating the amount of frosting needed to cover a round cake, bakers must first determine its surface area by multiplying the height of the cake by its circumference鈥攚hich is simply pi multiplied by the diameter.
Pi the sky
Pi plays an important role in astronomy, particularly when calculating the distance between stars. In order to accomplish this, 鈥攁 geometry that takes place in a sphere, rather than a plane, and therefore requires pi.
Patterns of pi
How did the leopard get its spots? Or the Zebra its stripes? The answer to both of these questions鈥攐r, more specifically, to the question how these patterns are distributed鈥攚ould appear to be pi. English mathematician Alan Turing first theorized that while still in an embryonic state鈥攁 process known as morphogenesis.
Crickets
Biologist . With the help of a loudspeaker and a spherical treadmill, Pollack tracks the journey made by crickets toward a projected mating call. The accuracy with which the crickets move toward the sound is measured in terms of pi.
Swinging pi
Up , the pendulum clock was the most precise time measuring device known to man. The , which underpins the theory behind a swinging pendulum, is roughly 3.1305, or pi. The definition of a meter was originally , which took a single second to swing in either direction.
Musical pi
When you tune into your favorite track, you can thank pi. Sound, like heat, travels in waves and therefore can be measured using the Fourier transform equation. , which are then filtered through the ears and are subsequently synthesized by the brain.
Pharma pi
Molecular chemist Chandrajit Bajaj researches molecular recognition models for drug designs. Molecules, spherical by nature, require the use of pi to calculate both surface area and volume.
Pi in space
NASA routinely relies on pi for a variety of out-of-this-world calculations. Chief among these is a technique known as a . The to the opposite side of Saturn during its 13-year exploration of the planet.
X-ray pi
The science of in order to determine their molecular patterns, is also indebted to pi, as expressed in the Fourier transform, and has been instrumental in scientific advances in chemistry and medicine. Fourier-transform spectroscopy has recently been employed in .
Pi in art
The infinite possibilities inherent in pi have inspired a number of contemporary artists, including . , , and have all turned the science of pi into an art form.
Pi in film
Esoteric filmmaker with his eponymous 1998 meta-thriller about a mathematical genius obsessed with unlocking the mysteries of the universe. The film also spawned