March 2013

true story about pi


arch 14, when written as 3.14, is the first three numbers of pi (π). To commemorate the (completely artificial) confluence of the world’s most famous and never-ending mathematical constant with the way we can write the date, math enthusiasts around the country embrace their inner nerdiness by celebrating π, the ratio of the circumference of a circle and its diameter.
The date–which also happens to be Einstein’s birthday–inspires celebrations every year. Today. the Massachusetts Institute of Technology is posting password-protected decision letters on its admissions office site–would-be attendees can view whether they gained admittance at 6:28 pm (approximately equal to 2π, or the ratio of a circle’s circumference to its radius). Not to be outdone, Princeton’s celebrations of pi span an entire week, complete with a pie eating contest, an Einstein look-alike contest and a π-themed video contest (videos extolling pi and Einstein’s birthday must be less than 3.14 minutes; the winner will be announced at 3:14 today and will receive–you guessed it–$314.15).
Just why are people crazy about pi? The number–three followed by a ceaseless string of numbers after the decimal point, all randomly distributed–is the world’s most famous irrational number, meaning that it cannot be expressed as through the division of two whole numbers. In fact, it is a transcendental number, a term which boils down the idea that it isn’t the square root, cube root or nth root of any rational number. And this irrationality and transcendental nature of pi appeals, perhaps because pi’s continuous flow of numbers reflects the unending circle it helps to trace.
Pi has held an almost mystical quality to humans throughout time. Its unspoken presence can be felt in the circular ruins of Stonehenge, in the vaulted ceilings of domed Roman temples, in the celestial spheres of Plato and Ptolemy. It has inspired centuries of mathematical puzzles and some of humanity’s most iconic artwork. People spend years of their lives attempting to memorize its digits–they hold contests to see who knows the most numbers after the decimal, write poems–”piems,” if you will–where the number of letters in each word represents the next digit of pi, compose haikus (pikus)…the list goes on and on like pi itself.

Archimedes’ method of approximating pi involved sandwiching a circle in two other shapes.


Here are some notable moments in the history of pi:


1900-1650 BC: A Babylonian tablet gives a value of 3.125 for pi, which isn’t bad! In another document, the Rhind Mathematical Papyrus, an ancient Egyptian scribe writes, in 1650 BC “Cut off 1/9 of a diameter and construct a square upon the remainder; this has the same area as the circle” This implies that pi is 3.16049, “which is also fairly accurate,” according to David Wilson of Rutgers University’s math department.
800-200 BC: Passages in the Bible describe a ceremonial pool in the Temple of Solomon: “He made the Sea of cast metal, circular in shape, measuring ten cubits from rim to rim and five cubits high. It took a line of thirty cubits to measure around it” (I Kings 7:23-26). This puts pi at a mere 3.
250 BC: Archimedes of Syracuse approximates the area of a circle by using the Pythagorean Theorem to find the areas of two shapes–a 96-sided polygon inscribed within the circle and an equally faceted polygon within which the circle was circumscribed. The areas of the 96-sided shapes sandwiched the area of circle, giving Archimedes upper and lower bounds for the circle’s extent. Though he knew that he had not found the exact value of pi, he was able to approximate it to between 3 1/7 and 3 10/71.
Late 1300s: Indian mathematician and astronomer Madhava of Sangamagrama first posits the idea that pi could be represented as the sum of terms in an infinite sequence–for example, 4 – 4/3 + 4/5 – 4/7 + 4/9…His work helped inspire branch of mathematics that examines the results of mathematical operations performed over and over on a never-ending stretch of numbers.
1706: Welsh mathematician William Jones began to use π as a the symbol for the ratio of the circumference of a circle to its diameter. Famed Swiss mathematician Leonhard Euler adopted this usage in 1737, helping to popularize it through his works.
1873: Amateur English mathematician William Shanks calculates pi out to 707 digits–his number was written on the wall of a circular room–appropriately named the Pi Room–in the Palais de la Découverte, a French science museum. But his number was only correct to the 527th digit–in 1946, the error was finally caught, and in 1949, the number was corrected.
1897: Lawmakers in Indiana almost pass a bill that erroneously labels the value of pi to 3.2. Cajoled by an amateur mathematician Edwin Goodwin, the Indiana General Assembly introduced House Bill 246, which introduced “a new mathematical truth” for sole use by the state. The “truth” was an attempt to square the circle–a puzzle which requires that a circle and square of the same area be constructed using only a geometrical compass and a straightedge. The bill unanimously passed the house, but the senate and hence the state was spared from embarrassment by C.A. Waldo, a Purdue mathematics professor who coincidentally happened to be in the State House that day. “Shown the bill and offered an introduction to the genius whose theory it was, Waldo declined, saying he already knew enough crazy people,” Tony Long of Wired wrote. Waldo gave the senators a math lesson, and the bill died.
1988: Larry Shaw of San Francisco’s Exploratorium inaugurates the first Pi Day celebration. This year, even as it prepares for its grand re-opening in April, the museum holds its 25th annual Pi Day extravaganza.
2005: Chao Lu, then a graduate student in China, becomes the Guinness record holder for reciting digits of pi–he recited the number to 67,980 digits. The feat took him 24 hours and 4 minutes (contest rules required that no more than 15 seconds could pass between any two numbers).
2009: Pi Day becomes official! Democratic Congressman Bart Gordon of Tennessee’s 6th congressional district, along with 15 co-sponsors, introduced HR 224, which “supports the designation of a Pi Day and its celebration around the world, recognizes the continuing importance of National Science Foundation math and science education programs, and encourages schools and educators to observe the day with appropriate activities that teach students about Pi and engage them about the study of mathematics.” The resolution was approved by the House of Representatives on March 12 of that year, proving that a love of pi is non-partisan.

source

inspired chair design

design by : daniel libeskind

design by : george nelson

design by : abie abdillah

design by : kate rider

design by : phillip grass

design by : phillip grass

design by : phillips de pury

design by : hendrick thor-larsen

design by : kyle buckner

design by : world war ll

eruption sun

Credit: NASA/SDO/AIA/Goddard Space Flight Center
Almost too fiery to seem real, this image of the sun's surface was captured by NASA's Solar Dynamics Observatory in August 2012. Shortly afterward, this prominence on the sun's surface erupted, blasting solar particles toward Earth. According to NASA, this eruption may have been the cause of a temporary radiation belt that surrounded Earth last year.     

Amazing Electromagnetic Winds

The interaction between the sun and Earth isn't limited to light. This artist's conception shows how electromagnetic solar winds influence the Earth's magnetosphere and upper atmosphere. University of Texas at Arlington physicist Yue Deng is currently studying these solar winds and how their energy is distributed in the atmosphere. "Right now, estimation of the amount of energy entering the Earth's thermosphere is not very precise and can be underestimated by 100 percent. We know even less about how that energy is distributed," Deng said in a March 11, 2013 statement. "This information is critical because if you put the same amount of energy at 400 kilometers the impact can be 100 times larger than if you put it at 100 kilometers."   
credit : NASA

Artist Recreates the World’s Most Famous Cities from Cardboard Boxes

Using only corrugated cardboard boxes and glue, renowned English artist Chris Gilmour has managed to recreate some of the world’s most famous cityscapes in stunning detail.
We first featured Chris Gilmour’s amazing cardboard sculptures back in 2009, but his latest project, titled “You can build anything when you put your mind to it“, is probably the most impressive one yet. The talented artist used common packaging boxes and glue to build models of some of the most iconic landmarks in the world, and did it all in record time. They say Rome wasn’t built in a day, but Gilmour managed to make a 40-foot-wide replica of London in just two days. Featuring the river Thames at the center, the fragile work of art also includes an intricate replica of Big Ben, a functional model of Tower Bridge and a rotating cardboard Big Eye. Part of an advertising campaign for the Bankers Box brand, the project also included incredibly detailed cardboard replicas of Paris and Berlin.

“Creating the iconic landmarks from each city was a real challenge,” Gilmour said. “This is the largest project of its kind that I’ve undertaken. Thankfully the boxes were really easy to work with and build. The biggest challenge was placing the iconic sculptures in the correct place in each city to successfully convey the depth and size of the entire build.” But the artist says the amazing result of his hard work proves you can actually build anything if you put your mind to it. Make sure to check out the timelapse video of putting together cardboard-box London, at the bottom of the page.



giethoorn: city of water

The tiny Dutch village of Giethoorn, located right in the middle of the De Wieden nature reserve, is fondly known as the Venice of Netherlands. Quite an apt name for the place, since it has distinct features that are reminiscent of the romantic Italian city – 7.5 km of canals, about 50 little wooden bridges, boat rides, quaint houses, and more.
If there’s something that Giethoorn does not have in common with Venice, it’s history. The small village was first inhabited in the year 1230 by a group of fugitives from the Mediterranean regions. It is said that when they first arrived in the area, they noticed an unusually large number of goat horns that were left over after the big flood of St Elisabeth had ravaged the area in 1170. So they named their settlement Geytenhorn (horn of goats), but with dialect changes over the years the name gradually changed to Giethoorn. There’s a story about how all the lakes came to be as well. Early settlers took to peat mining; they dug for peat in the areas that suited them the most and left holes in the ground. These holes soon filled up and turned into lakes of varying sizes. So to carry the peat from one area to another, they would sail through navigable canals and ditches. The means of transportation that was once a necessity is now a huge tourist attraction.

 It was in the year 1958 that Geithoorn first became popular as a tourist destination. A great Dutch filmmaker named Bert Haanstra made a movie at this location, after which tourists started arriving in large numbers, calling it the Venice of Netherlands. The boats called punters are typical to Giethoorn, however, and have become famous the world over. They are driven by an electric motor that make a sound no louder than a whisper. The village itself is the main attraction, where the atmosphere is said to be extremely peaceful and relaxing. Tourists also love admiring the classic Dutch architecture, including houses with thatched roofs and some carefully preserved 18th and 19th century farm houses. There are no roads in the old part of Giethoorn, so tourists generally take a boat ride around the village. A few cycling paths have been build recently for locals to use as transportation.
Giethoorn sounds like a delightfully picturesque location that you would not want to miss if you ever happen to be in the Netherlands.






 

Newer Posts Older Posts

Powered by Blogger.