Category archives for Mathematics

King’s Hub: Videos You Should Watch

Here is a selection of short, fun and interesting videos recommended by the King’s Hub. There is something for every scientist, with maths, physics, biology and chemistry related content. Although they are great to watch purely as entertainment, the King’s Hub also loves these videos because they show the wonderful (and slightly weird) knowledge that science […]

Mathematics in Music


In the musical scale, the approximate ratio of frequencies of successive notes is the twelfth root of 2, which is roughly equal to 1.059463094. The powers of the twelfth root of 2 are rough irrational approximations of the natural musical intervals which are simple rational numbers. Physically, sound waves are vibrations. The higher the amplitude, […]

An Introduction to Chaos Theory

Figure 2 (Phase Portrait) (1)

Nature is complex. It features a multitude of systems which, simple though they may be, are unpredictable in their behaviour, and seem not to be governed by the established deterministic laws of classical physics. For many years, scientists ignored such systems claiming that their unpredictability was a result of the limitations in the accuracy of measurements, or pure chance. Others even rejected them as unscientific. However, in the 1970s, a new theory evolved, which, if its supporters are right, explains the diversity we observe in nature and provides an accurate and scientific description of the unpredictable phenomena in question. This is known as “Chaos Theory”, and the purpose of this article is to provide an introduction to it together with fractals, the elaborate patterns which have become its emblem.