Category Archives: Visualization

Neusis constructions (2): trisections

This post, containing a nice slew of methods of trisecting a general angle using neusis methods, can be found at Numbers and Shapes.

Neusis constructions (2): trisections

This post, containing a nice slew of methods of trisecting a general angle using neusis methods, can be found at Numbers and Shapes.

Neusis constructions (1)

You can find this post, introducing geometric constructions which allow the use of a straight-edge with two marks, at my new site Numbers and Shapes.

Neusis constructions (1)

You can find this post, introducing geometric constructions which allow the use of a straight-edge with two marks, at my new site Numbers and Shapes.

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