Time dependent gravity exploration In our universe we have a gravitational constant – i.e gravity is not dependent on time. If gravity changed with respect to time then the gravitational force exerted by the Sun on Earth would lessen (or increase) over time with all other factors remaining the same. Interestingly time-dependent gravity was first… Continue Reading →
Cowculus – the farmer and the cow The Numberphile video linked the end of this is an excellent starting point for an investigation – so I thought I’d use this to extend the problem to a more general situation. The simple case is as follows: A farmer is at point F and a cow at… Continue Reading →
Are you a current IB student or IB teacher? Do you want to learn the tips and tricks to produce excellent Mathematics coursework? Gain the inside track on what makes a good coursework piece from an IB Maths Examiner as you learn all the skills necessary to produce something outstanding. This course is written for… Continue Reading →
Roller Coaster design This post continues from the previous post on Lissajous Curves. Make sure to read that one first! We can design a rollercoaster track by using the following Lissajous Curve: This gives the following graph: Ground level is given by the line y = −50. Distances are in metres and t is measured… Continue Reading →
AI Masters Olympiad Geometry The team behind Google’s Deep Mind have just released details of a new AI system: AlphaGeometry This has been specifically trained to solve classical geometry problems – and already is now at the level of a Gold Medalist at the International Olympiad (considering only geometry problems). This is an incredible achievement… Continue Reading →
Lissajous Curves Lissajous Curves were explored by French Physicist Jules Lissajous in the 1850s. The picture above (Wikimedia Commons) shows him investigating Lissajous curves through a telescope. Lissajous curves include those which can be written in the form: This parametric form allows us to represent complicated curves which are difficult to write in terms of… Continue Reading →
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