A sequence of numbers x1, x2, x3, ... starts with x1 = 2, and, if you know any term xn, you can find the next term xn+1 using the formula: xn+1 = (xn + 3/xn)/2 . Calculate the first six terms of this. . . .

Imagine a strip with a mark somewhere along it. Fold it in the middle so that the bottom reaches back to the top. Stetch it out to match the original length. Now where's the mark?

It's like 'Peaches Today, Peaches Tomorrow' but interestingly generalized.

However did we manage before calculators? Is there an efficient way to do a square root if you have to do the work yourself?

Can you crack these very difficult challenge ciphers? How might you systematise the cracking of unknown ciphers?

A weekly challenge concerning the interpretation of an algorithm to determine the day on which you were born.

Vedic Sutra is one of many ancient Indian sutras which involves a cross subtraction method. Can you give a good explanation of WHY it works?

When in 1821 Charles Babbage invented the `Difference Engine' it was intended to take over the work of making mathematical tables by the techniques described in this article.

What day of the week were you born on? Do you know? Here's a way to find out.

A geometry lab crafted in a functional programming language. Ported to Flash from the original java at web.comlab.ox.ac.uk/geomlab

Scheduling games is a little more challenging than one might desire. Here are some tournament formats that sport schedulers use.

Is the regularity shown in this encoded message noise or structure?

Start with any triangle T1 and its inscribed circle. Draw the triangle T2 which has its vertices at the points of contact between the triangle T1 and its incircle. Now keep repeating this. . . .

How would you judge a competition to draw a freehand square?

In this short problem, can you deduce the likely location of the odd ones out in six sets of random numbers?

Can you think like a computer and work out what this flow diagram does?

This article explains the concepts involved in scientific mathematical computing. It will be very useful and interesting to anyone interested in computer programming or mathematics.