Math movie: How to play a Rubik’s Cube like a piano

9 December 2015

How to play a Rubik’s Cube like a piano - Michael Staff
This movie explores the connections between Rubik's cube and the group theory concepts behind music.

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Butterfly map of the world

8 December 2015

Butterfly map of the world
The butterfly map of the world is based on Reuleaux triangles. This article explores some of the story behind this interesting map.

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Reuleaux triangles

8 December 2015

Reuleaux triangles
Reuleaux triangles have a property similar to circles - they have constant diameter when rotated.

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Is a 1×1 matrix a scalar?

26 November 2015

Is a 1x1 matrix really a scalar?
A 1×1 matrix is often regarded as a scalar quantity, but is that correct? This article explores a reader's question.

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Wallis, pi and quantum theory

24 November 2015

Wallis Product - new proof by quantum mechanics
A quite remarkable new proof of the 400 year-old Wallis Product approximation for π has recently been published. It arises from a study of the quantum mechanics of a hydrogen atom.

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Is cube root the same as raising to power 1/3?

29 October 2015

Graph of cube root
Is there a difference between cube root and raising a number to the power 1/3? Maybe there is!

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svgPHPGrapher - a new math plotter

29 September 2015

svgPHPGrapher is a new PHP-bassed svg math grapher.
svgPHPGrapher produces clean math graphs with no javascript, and all the processing happens on the server.

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Sampling to create mathematical function graphs

23 September 2015

A curve drawn using svgPHPGrapher
When sketching mathematical functions on paper or computers, it's a good idea to have a sense of what the general shape of the curve is before you start. Sampling can lead to erroneous results.

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Newton’s Method, accuracy and floating point numbers

30 July 2015

Newton's Method computer number problems
YouTube engineers faced a problem as the number of views for Gangnam Style approached 2 billion. I found related issues when developing the Newton's Method graph.

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Newton’s Method interactive graph

30 July 2015

Newton's Method interactive graph
I added a new interactive graph that helps explain how Newton's Method works. Newton's Method uses differentiation to solve non-linear equations and is especially useful when we can't factor the equation. It's very commonly used by computers when solving math-based problems.

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