Chaos Theory – Population Growth exhibiting odd behaviour

Think for a moment about a field, half filled with rabbits. How can we figure out how many fluffy bunnies we’ll have in a year’s time? Let’s start by agreeing to use a population of [more…]

Chaos Theory – A gentle introduction

Question: Do snails understand mathematics? Ok here’s an idea. Start with the value 0 and 1 and then apply the following rule. Take the last 2 numbers you have and then add them, to make [more…]

Tremors and logs

Fracking is once again in the news, once again you will hear of the dire consequences, the disasters and the earthquakes caused by drilling and fracturing the shale underground. It was suggested that the proposed [more…]

Calculators and Reverse Polish Notation

At the end of September, Doc Mike Finnley posted an interesting article about early pocket calculators that caught my eye (I avoided reading any comments). I enjoyed his construction notes, given many of these older [more…]

Cipher – A Tribute To OldTrout

Introduction Cipher – meaning zero (0), nothing or an empty set. Decipher – to make something out of that seemingly meaningless nothing. Caroline or ‘Old Trout’ (as we affectionately remember her) was a brilliant mathematician. [more…]

Snowflakes

I have always loved snowflakes.  On a chairlift, with your head down into a biting wind, one is allowed about twenty minutes to study them settling on your clothes. They have two classes of symmetry; [more…]

Sophie Germain Primes and Cunningham Chains

A Sophie Germain prime is a prime number such that is also a prime number. That is, ,  where and are both prime.  For example, . The sequence begins Sophie Germain () explored these primes [more…]

The Number of Derangements

Read as : the limit, as approaches infinity, of subfactorial divided by factorial is equal to divided by which approximates to , where is Euler’s number, The Hat Check Problem, as first described by Montmort [more…]

On Punctuation!

Apparently, some subset of younger people are upset and intimidated about the use of full stops in text and other messages. I am not sure what they would think about the ellipsis, … , or [more…]