Mathematics
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MathPuzzle.com
Martin Gardner celebrates math puzzles and Mathematical Recreations. This site aims to do the same. If you've made a good, new math puzzle, send it to ed@mathpuzzle.com . My mail address is Ed Pegg Jr, 1607 Park Haven, Champaign, IL 61820. You can join my moderated recreational mathematics email list at http://groups.yahoo.com/group/mathpuzzle/ . My facebook page is at Ed Pegg Jr .“Prismatica consists of an arrangement of pyramid-shaped crystals affixed to an LCD screen and illuminated with programmed geometric animation. The animated patterns are precisely mapped to the vertices of the crystals, illuminating them individually and in formation. The animations are further refracted through the geometry of the crystals in accordance with the shifting perspective of the observer, which in turn alters the way the illuminations appear and interact with reflections of surrounding lights within the space.”
Pictures of Math
The yupana ( Quechua for "counting tool") is a device used by the Incas , presumably as a type of calculator . Though some researchers have hypothesized how this implement might function like an abacus , [ 1 ] [ 2 ] others are less certain that it was used for this purpose. [ 3 ] The 16th-century account of Spanish priest José de Acosta suggests that Incas may have possessed such a device: [...] to see them use another kind of calculator, with maize kernels. In order to carry out a very difficult computation for which an able computer would require pen and paper, these Indians make use of their kernels. They place one here, three somewhere else and eight. They move one kernel here and there and the fact is that they are able to complete their computation without making the smallest mistake. as a matter of fact, they are better at practical arithmetic than we are with pen and ink.
Yupana - an Incan Fibonacci Calculator
emergence
fractals
Geometry
World Mysteries - Science Mysteries, Fibonacci Numbers and Golden section in Nature
The Fibonacci numbers are Nature's numbering system. They appear everywhere in Nature, from the leaf arrangement in plants, to the pattern of the florets of a flower, the bracts of a pinecone, or the scales of a pineapple. The Fibonacci numbers are therefore applicable to the growth of every living thing, including a single cell, a grain of wheat, a hive of bees, and even all of mankind. In mathematics and the arts, two quantities are in the golden ratio if the ratio between the sum of those quantities and the larger one is the same as the ratio between the larger one and the smaller. The figure of a golden section illustrates the geometric relationship that defines this constant.
December 2009 Think drug-induced hallucinations, and the whirly, spirally, tunnel-vision-like patterns of psychedelic imagery immediately spring to mind. But it's not just hallucinogenic drugs like LSD, cannabis or mescaline that conjure up these geometric structures. People have reported seeing them in near-death experiences, as a result of disorders like epilepsy and schizophrenia, following sensory deprivation, or even just after applying pressure to the eyeballs. So common are these geometric hallucinations, that in the last century scientists began asking themselves if they couldn't tell us something fundamental about how our brains are wired up.
Uncoiling the spiral: Maths and hallucinations
Evolution of the limit cycle in the phase plane. Notice the limit cycle begins as circle and, with varying μ , become increasingly sharp. An example of a Relaxation oscillator .
Van der Pol oscillator - Wikipedia, the free encyclopedia
9 Mental Math Tricks
Math can be terrifying for many people. This list will hopefully improve your general knowledge of mathematical tricks and your speed when you need to do math in your head. To multiply by 25 you multiply by 100 (just add two 0’s to the end of the number) then divide by 4, since 100 = 25×4. Note: to divide by 4 your can just divide by 2 twice, since 2×2 = 4.GNU Octave is a high-level interpreted language, primarily intended for numerical computations. It provides capabilities for the numerical solution of linear and nonlinear problems, and for performing other numerical experiments. It also provides extensive graphics capabilities for data visualization and manipulation.
Octave
fast and usable calculator
SpeedCrunch is a fast, high precision and powerful desktop calculator. Available for Linux , Microsoft Windows , and Apple Mac OS X .
Being able to perform arithmetic quickly and mentally can greatly boost your self-esteem, especially if you don't consider yourself to be very good at Math. And, getting comfortable with arithmetic might just motivate you to dive deeper into other things mathematical. This article presents nine ideas that will hopefully get you to look at arithmetic as a game, one in which you can see patterns among numbers and pick then apply the right trick to quickly doing the calculation. The tricks in this article all involve multiplication. Don't be discouraged if the tricks seem difficult at first.