Category Archives: Visualization

Solving a cubic by folding

This post, which is on my new site here: http://www.numbersandshapes.net/?p=2520 shows how a cubic equation can be solved by origami.  This is not a new result by any means, but it’s hard to find a simple proof of how the

Solving a cubic by folding

This post, which is on my new site here: http://www.numbersandshapes.net/?p=2520 shows how a cubic equation can be solved by origami.  This is not a new result by any means, but it’s hard to find a simple proof of how the

MISG day 5

I didn’t explain the problem well enough in my last post: AGL, the energy supply company, are trying (among other things) to create several “reference profiles” of energy use, to which customers can be compared.  This will give them a better idea

MISG day 5

I didn’t explain the problem well enough in my last post: AGL, the energy supply company, are trying (among other things) to create several “reference profiles” of energy use, to which customers can be compared.  This will give them a better idea

MISG day 3

This week I’m at the Mathematics and Statistics Industry Study Group, a yearly event where companies from Australia and New Zealand provide problems for the assembled mathematicians and statisticians to solve.  I’m in a crowd of people working on a

MISG day 3

This week I’m at the Mathematics and Statistics Industry Study Group, a yearly event where companies from Australia and New Zealand provide problems for the assembled mathematicians and statisticians to solve.  I’m in a crowd of people working on a

Two results about squares

I’m very fond of geometric results which are a bit surprising, but turn out to be easy to prove. Here are two such. Thébault’s result The French problemist Victor Thébault published three problems in the late 1930’s. The second problem

Two results about squares

I’m very fond of geometric results which are a bit surprising, but turn out to be easy to prove. Here are two such. Thébault’s result The French problemist Victor Thébault published three problems in the late 1930’s. The second problem

LaTeX multido

The LaTeX multido files provide a way for providing general loop macros in LaTeX. They can be used within pstricks, for creating complex diagrams with repetition. Here’s a little example which draws a number line from -10 to 10: In

LaTeX multido

The LaTeX multido files provide a way for providing general loop macros in LaTeX. They can be used within pstricks, for creating complex diagrams with repetition. Here’s a little example which draws a number line from -10 to 10: In

Solving quadratic equations geometrically

I vaguely recall some years ago having seen a nonogram for solving quadratic equations, and I thought it may be a fun thing to do with my students. I couldn’t find what I was looking for, but I did come

Solving quadratic equations geometrically

I vaguely recall some years ago having seen a nonogram for solving quadratic equations, and I thought it may be a fun thing to do with my students. I couldn’t find what I was looking for, but I did come

Visual Cryptography

In 1979, Adi Shamir (the “S” in RSA) and George Blakely independently produced the concept of “secret sharing”. Suppose group of people wish to share a secret. The secret is divided into shares, and each person gets one share. The

Visual Cryptography

In 1979, Adi Shamir (the “S” in RSA) and George Blakely independently produced the concept of “secret sharing”. Suppose group of people wish to share a secret. The secret is divided into shares, and each person gets one share. The