Maths frequently shows us surprising and illuminating connections between physical systems that are not obviously related: the analysis of one system often turns out to be ideally suited for describing another. To illustrate this, we will show how a surface in three dimensional space — the hyperbolic paraboloid, or hypar — pops up in unexpected ways and in many different contexts.Continue reading ‘The High-Power Hypar’
Archive for May, 2014
Tags: Algebra, Gauss, Geometry, Recreational Maths
The term “Chaos Game” was coined by Michael Barnsley , who developed this ingenious technique for generating mathematical objects called fractals. We have discussed a particular fractal set on this blog: see Cantor’s Ternary Set.
The Chaos Game is a simple algorithm that identifies one point in the plane at each stage. The sets of points that ultimately emerge from the procedure are remarkable for their intricate structure. The relationship between the algorithm and fractal sets is not at all obvious, as there is no evident connection between them. This element of surprise is of one of the delights of mathematics.
Tags: Analysis, Applied Maths, biology
Next week’s post will be about a model of the future of civilization! It is based on the classical predator-prey model, which is reviewed here.
Tags: Ireland, Probability, Statistics
This week, That’s Maths in The Irish Times ( TM044 ) is about the originator of Students t-distribution.
In October 2012 a plaque was unveiled at St Patrick’s National School, Blackrock, to commemorate William Sealy Gosset, who had lived nearby for 22 years. Sir Ronald Fisher, a giant among statisticians, called Gosset “The Faraday of Statistics”, recognising his ability to grasp general principles and apply them to problems of practical significance.