Articles — CODEE Agent-Based Fabric Modeling Using Differential Equations by Joseph Rusinko, Hannah Swan published November 25, 2012 We use an agent-based modeling software, NetLogo, to simulate fabric drape by applying a modified mass spring system. This model provides an application of harmonic motion to textiles and fashion, fields not typically discussed in the undergraduate differential equations classroom. Euler's method is coded into the model to solve a system of ordinary differential equations describing the fabric's position over time. Our interactive NetLogo model allows students to visualize the behavior of the...
Four In A Line Go to Games, Games 2 or Games 3 To win: connect 4 pieces in a row, column or diagonally (We have gone Connect Crazy! see all the new versions) Four In A Line Rules Point the cursor over the row you wish to drop your piece in. Guide What is it? Interactivate is a set of free, online courseware for exploration in science and mathematics. It is comprised of activities, lessons, and discussions. Math and Music – Equations and Ratios Previously in the “math and music” lesson we derived equations for expressing intervals as functions of relative frequencies. This week we’re going to define conventions for interval sizes and then derive three variables where we can determine the composition of any frequency ratio. Guess what – all intervals can be described as different combinations of the octave, perfect fifth and major third – the first three overtones. In the last lesson we talked about the frequency ratios of common intervals.
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Factors and Multiples Game This is a game for two players. The first player chooses a positive even number that is less than , and crosses it out on the grid. The second player chooses a number to cross out. The number must be a factor or multiple of the first number. What's New Interactivate 3.0 was released in order to provide the Project Interactivate Team the ability to make more regular changes. Now, over a year later, you are looking at version 3.4. Updates have been made, possibly without your even noticing. Find out what's new! For Teachers The release of new or improved lessons is ongoing.
Manifold The surface of the Earth requires (at least) two charts to include every point. Here the globe is decomposed into charts around the North and South Poles. The concept of a manifold is central to many parts of geometry and modern mathematical physics because it allows more complicated structures to be described and understood in terms of the relatively well-understood properties of Euclidean space. Optical Illusions and Visual Phenomena Optical illusion are fascinating while teaching us about our visual perception, and limits thereof. My emphasis here is on the beauty of perceptual phenomena, on interactive experiments, and explanation of the visual mechanisms involved – to the degree that they are understood Befriending mobile devices: >50 interactive demos now without Flash, but require up-to-date browser versions. Don’t let it irk you if you don’t see all the phenomena described. For many illusions, there is a percentage of people with perfectly normal vision who just don’t see it, often for reasons currently unknown.
Contents, Interactive Mathematics Miscellany and Puzzles Since May 6, 1997You are visitor number E66B7E in base 20 Raymond Smullyan, a Mathematician, Philosopher and author of several outstanding books of logical puzzles, tells, in one of his books, a revealing story. A friend invited him for dinner. He told Smullyan that his teenage son was crazy about Smullyan's books and could not wait to meet him. Detexify LaTeX handwritten symbol recognition Want a Mac app? Lucky you. The Mac app is finally stable enough. See how it works on Vimeo. Download the latest version here. Restriction: In addition to the LaTeX command the unlicensed version will copy a reminder to purchase a license to the clipboard when you select a symbol.
MathPuzzle.com Material added 23 December 2010 Vi Hart Vi Deos Vi Hart's videos have been the most popular math item in months, even showing up on cable news shows. My favorites are Doodling Snakes and Binary Trees. Her father is the polyhedreally-famous George Hart, who is currently the chief advisor for the Museum of Mathematics (which recently started selling the Tetraxis). Odd Dice 11 Mathematics Resources to Try in 2011 To start off the new year, each day this week I'll be posting a list of eleven resources to try in a particular content area. Today's list is for mathematics teachers, tomorrow's list will be for science teachers. Brain Nook is a virtual world in which students can practice their mathematics and English skills. Brain Nook provides students with a series of scenarios that they have to resolve by answering mathematics and language arts questions.