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Math Fun Facts

Math Fun Facts
Did you know that it is possible to cut a solid ball into 5 pieces, and by re-assembling them, using rigid motions only, form TWO solid balls, EACH THE SAME SIZE AND SHAPE as the original? This theorem is known as the Banach-Tarski paradox. So why can't you do this in real life, say, with a block of gold? If matter were infinitely divisible (which it is not) then it might be possible. But the pieces involved are so "jagged" and exotic that they do not have a well-defined notion of volume, or measure, associated to them. In fact, what the Banach-Tarski paradox shows is that no matter how you try to define "volume" so that it corresponds with our usual definition for nice sets, there will always be "bad" sets for which it is impossible to define a "volume"! Presentation Suggestions: Students will find this Fun Fact hard to believe. The Math Behind the Fact: First of all, if we didn't restrict ourselves to rigid motions, this paradox would be more believable.

http://www.math.hmc.edu/funfacts/ffiles/30001.1-3-8.shtml

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Amazing Coincidences Weird Stuff Life is full of coincidences, some very minor, but occasionally – extraordinary. This is a list of 15 of the most incredible, unbelievable coincidences. 15. Childhood Book Neurons Gone Wild [Melting Asphalt] To reject gods and spirits is easy: just bully them away in the name of science. But to accept them, or at least our experiences of them, and yet give them a scientific explanation: there’s a task worthy of our art. It demands that we look them in the eye and take them seriously, while standing absolutely firm in our materialist convictions. I don’t know how much of what I’m about to say is true. All I know is that it’s damn interesting. Today we court madness from the bedrock of science.

Blog : Twisted Architecture I didn’t set out to tie knots in Norman Foster’s Hearst Tower or wrinkle his Gherkin, but I got carried away. It’s one of the occupational hazards of working with Mathematica. It started with an innocent experiment in lofting, a technique also known as “skinning” that originated in boat-building. I wanted to explore some three-dimensional forms, and a basic lofting function seemed like a quick ticket to results.

Hypercube An n-dimensional hypercube is also called an n-cube or an n-dimensional cube. The term "measure polytope" is also used, notably in the work of H.S.M. Coxeter (originally from Elte, 1912[1]), but it has now been superseded. The hypercube is the special case of a hyperrectangle (also called an orthotope). Health Fun Facts Absolutely True! The safest number of times to reuse a disposable razor is only 3. Disposable razors have thinner blades than other razors, and are thus more prone to producing microscopic cuts in the skin. The longer you keep using a disposable razor, the more germs it will collect, and the greater the chance that a nick will become infected.

Students Build the First Eukaryotic Chromosome from Scratch In March undergraduate students in Johns Hopkins University's Build a Genome course announced they had made a yeast chromosome from scratch—and history, too. It is the first time anyone has synthesized the chromosome of a complex organism, a landmark achievement in the field of synthetic biology. It is also a triumph for the movement known as DIY biology. The target was chromosome 3, which controls the yeast's sexual reproduction and has 316,617 base pairs of the DNA alphabet—A for adenine, G for guanine, C for cytosine and T for thymine.

Wonders of Math - The Game of Life What is the Game of Life? by Paul Callahan Rules of the Game of Life Life is played on a grid of square cells--like a chess board but extending infinitely in every direction. 10 Coolest Mathematics Results Technology Many people are put off by the obscure symbols and strict rules of math, giving up on a problem as soon as they see both numbers and letters involved. But while math may be dense and difficult at times, the results it can prove are sometimes beautiful, mind-boggling, or just plain unexpected. Results like: Yawn Fun Fact By Andrew Newburg | Yawn. Go ahead: Laugh if you want (though you’ll benefit your brain more if you smile), but in my professional opinion, yawning is one of the best-kept secrets in neuroscience. Even my colleagues who are researching meditation, relaxation, and stress reduction at other universities have overlooked this powerful neural-enhancing tool. However, yawning has been used for many decades in voice therapy as an effective means for reducing performance anxiety and hypertension in the throat. Several recent brain-scan studies have shown that yawning evokes a unique neural activity in the areas of the brain that are directly involved in generating social awareness and creating feelings of empathy. One of those areas is the precuneus, a tiny structure hidden within the folds of the parietal lobe.

Watch 80,000 Neurons Fire in the Brain of a Fish The video above shows 80 percent of the neurons in the brain of a baby zebrafish firing as the animal responds to what it sees. The scientists who made the video say their new technique, called light-sheet imaging, will allow them to study the neural mechanisms of behavior in unprecedented detail. “There must be fundamental principles about how large populations of neurons represent information and guide behavior,” says neuroscientist Jeremy Freeman of Howard Hughes Medical Institute’s Janelia Farm Research Campus in Ashburn, Virginia. “In this system where we record from the whole brain, we might start to understand what those rules are.” Trying to figure out how an animal moves and perceives the world around it from the action of a few neurons is like trying to figure out the plot of a movie from the flashing of a dozen random pixels.

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