Mathematics

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The Map is Not the Territory The Map is Not the Territory Math related conversations with my 8 year old tend to pop up unexpectedly. These are often around something she's making, and are often a gorgeous little gem of a surprise. Today was no different.
New Math Game: Factor Dominoes! Lately I've been looking for different ways for my seven year old and I to conceptualize multiplication. As has happened many times before on our math journey, this graphic showed up at just the right time (albeit somewhat circuitously through the excellent influence of the Math Munch blog). My favorite thing about it is that it's not about numerals; when I look at factoring trees I can make some surface sense of them, but my mind goes numb pretty quickly. In this visualization, however, there is an incredible connection to shapes and grouping. I find this visual especially well-suited for kids in general and at least this adult specifically. New Math Game: Factor Dominoes!
This page collects in one place all the entries in the geometry junkyard. Acme Klein Bottle . A topologist's delight, handcrafted in glass. The Geometry Junkyard: All Topics The Geometry Junkyard: All Topics
Links: PentiDisc short description PentiDisc projectbeschrijving PentiDisc Intégré PentiDisc general description Realisation of PentiDisc Realisation of PentiDisc
mathematics6.jpg (1920×1200)
Embers by TDA "Doing spectacular things with very little code has a long tradition in the demoscene. Born out of necessity when home computers were slow and memory space scarce, pushing against artificial boundaries became a popular “sport” when PC hardware power blew up. Time and again we’ve seen demosceners tighten the limits in search of a good challenge and do voodoo with 64 and even 4 kilobytes. At the recent edition of Assembly, a demoscene main event in Helsinki (Finland) with a 20 year history, this race for minimal footprint has reached a new low: 1 kilobyte (1024 bytes) or less! While technically 1k (and smaller) intros are nothing new, Assembly’s first ever “1 kilobyte intro competition” marks a breakthrough for the category." Pictures of Math Pictures of Math
emergence

fractals

Geometry

Science Mysteries, Fibonacci Numbers and Golden section in Nature

Science Mysteries, Fibonacci Numbers and Golden section in Nature Golden Ratio & Golden Section : : Golden Rectangle : : Golden Spiral Golden Ratio & Golden Section 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. Expressed algebraically: The golden ratio is often denoted by the Greek letter phi (Φ or φ).
The term yupana, deriving from the word Quechua yupay (count),[1] is commonly defined as an abacus used to perform arithmetic operations dating back to the time of the Incas Types of yupana[edit] The term yupana refers to two distinct classes of objects: table-yupana (or archaeological yupana): a system of trays of different sizes and materials, carved at the top into geometric boxes were is assumed seeds or pebbles were be placed. The first of these tables was found in 1869 in the province of Cuenca (Ecuador) and marked the beginning of systematic studies on these objects. All archaeological finds are very different from each other.[2]yupana of Poma de Ayala: a picture on page 360 of El primer nueva corónica y buen gobierno written by the chronicler of the Indies Poma de Ayala, representing a 5x4 chessboard.[3] Yupana - an Incan Fibonacci Calculator Yupana - an Incan Fibonacci Calculator
A standing wave. The red dots are the wave nodes A node is a point along a standing wave where the wave has minimum amplitude. For instance, in a vibrating guitar string, the ends of the string are nodes. By changing the position of the end node through frets, the guitarist changes the effective length of the vibrating string and thereby the note played. Node (physics) Node (physics)
Van der Pol oscillator 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
9 Mental Math Tricks

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. 1. Multiplying by 9, or 99, or 999 Multiplying by 9 is really multiplying by 10-1.
December 2009 You can read a more accessible version of this article here. 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.

Uncoiling the spiral: Maths and hallucinations

Sin & Cos: The Programmer's Pals!
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

See Math tricks on video at the Wild About Math! mathcasts page. 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.

Impress your friends with mental Math tricks » Fun Math Blog

LiveMath™ Software Products Happy Valentine's Day 2012 Thanks to James B.! LiveMath™ is a computer algebra and graphing system designed for the mathematician (or mathematics student or scientist) who is not necessarily a programmer.
An Intuitive Explanation of Fourier Theory