Could Knots Unravel Mysteries of Turbulent Fluid Flow? Math jobs, statistics jobs, employment, math, statistics, jobs, employment, mathematics, phd, masters, education, university, college, united states, russia, europe, mathematika, mexico, canada, mathematics, math, jobs, employment. Life in the City Is Essentially One Giant Math Problem. Egyptian Maths. Hexaflexagons 2. How to Turn a Sphere Inside Out. An Interactive Guide To The Fourier Transform. Graham's Number - Video. Sets, Counting, and Probability. Infinities. 6 Must-See Math Videos That Will Inspire And Frighten. GEM1518K - Mathematics in Art & Architecture - Project Submission.

“For me it remains an open question whether [this work] pertains to the realm of mathematics or to that of art.” - M.C.

Escher Contents. Moebius Transformations Revealed. Proofs Without Words Gallery. 6174 (number) DC.pdf (application/pdf Object) The eloquence of... Maths: Free maths help, advice and ramblings. If you are the first to solve this problem I will give you complete set of the Richard Feynman Lectures on Physics (read up upon the Feynman Lectures on Physics).

Question: Take a square of arbitrary side length and construct four new squares with a side length half of the original positioned in the corners a quarter of the way down and across the two sides creating the corner. This would look like: Then in each of the new squares in the furthest corner from the first square create a new square with half the side length a quarter of the way down and across the two sides creating the corner. Point nine recurring equals one. (This page is entirely factually accurate.

It is neither a joke nor a satire nor a collection of fallacious proofs. All these proofs are genuine and the results are true. Thanks.) Preliminary note. Troll pi explained. 3 Dimensional Fractals & Mandelbulb. Euler's Solution to the Basel Problem : EvolutionBlog. I’m in the mood for some math today, so here’s an amusing little proof I recently showed to my History of Mathematics class.

We shall derive the formula \[ \frac{\pi^2}{6}=1+\frac{1}{4}+\frac{1}{9}+\frac{1}{16}+\frac{1}{25}+\dots \] Contact networks have no influence on cooperation among individuals. Researchers at Carlos III University of Madrid and the University of Zaragoza theoretically predict, in a scientific study, that contact networks have no influence on cooperation among individuals.

For the past twenty years, there has been a great controversy regarding whether the structure of interactions among individuals (that is, if the existence of a certain contact network or social network) helps to foment cooperation among them in situations in which not cooperating brings benefits without generating the costs of helping. Benford's Law. If you’ve not heard about Benford’s Law before, you’re in for a real treat with this post.

Before we get into the theory, however, indulge with me in a little thought experiment. (Gedanken) Gedanken Experiment Actual results Huh !!? 5 and Penrose Tiling [video] "As far as I'm concerned, the funny thing about five is that it's not three, four or six.

" ~ Professor John Hunton. Does "Penrose tiling" ring a bell? It should if you've been reading this blog for awhile because this phenomenon played a role in the 2011 Nobel Prize in Chemistry. Pattern master wins million-dollar mathematics prize - physics-math - 21 March 2012. 'Infinity Computer' Calculates Area Of Sierpinski Carpet Exactly. A Sierpinksi carpet is one of the more famous fractal objects in mathematics.

Creating one is an iterative procedure. Start with a square, divide it into nine equal squares and remove the central one. That leaves eight squares around a central square hole. Dirac String Trick. Here I try to present one way of thinking about the Dirac String Trick.

This way of thinking about the motion makes it easy to program. The Dirac String Trick motion always for the rotation of a central ball (which has outward radial strings attached to its surface) such that the strings do not get twisted or tangled up. After 2 rotations about the axis of rotation the strings return to their orignial positions, again, without any twists. It has been suggested that this motion may have something to do with the spin of a particle (like the electron or proton).

See for example the paper "Geometric Model for Fundamental Particles" by Batty-Pratt and Racey, International Journal of Theoretical Physics, Vol. 19, No. 6, 1980. Math Fun Facts! Abstract Algebra - Free Harvard Courses. Explained: Sigma. It’s a question that arises with virtually every major new finding in science or medicine: What makes a result reliable enough to be taken seriously?

Virtual Reality Polyhedra. Powerful constraints on any structure that inhabits it. Welcome to this collection of thousands of virtual reality polyhedra for you to explore. Most Popular Math Fun Facts. A Visual, Intuitive Guide to Imaginary Numbers. Information for readers of sci.math.research. What is the Reimann Hypothesis? Why is it so important. What is it like to have an understanding of very advanced mathematics.