Adding probabilities and velocities have at least two things in common — a maximum and Pascal’s triangle.


Firstly, I know I will be disappointing some but reassuring others that this is not about Relativistic Quantum Mechanics. If you are comfortable with basic algebra, you should find it fairly easy to…

I watched a Numberphile video a while back that posed a problem about decelerating cars that has a surprising and scary answer. Two cars are exactly side by side on a multi-lane road when their drivers break to avoid an obstacle coming up and both cars decelerate at exactly the…


This article flows out of a video conversation between the YouTubers and mathematicians Grant Sanderson and Matt Parker (references below) and an email conversation between myself and a friend of mine: Peter Gaffney as we explored our own solutions to this beguiling puzzle.

Exploring different approaches to this seemingly impossible…

Ancient history but I wrote an article way back when for Microsoft’s MSDN magazine. Because Silverlight was strictly 2D at the time, there was an opportunity to leverage a lot of the mathematics that nowadays is hidden away in the GPU hardware or the 3D canvas in HTML5.

Silverlight is no longer with us but mathematics is of course eternal and I include a link in case it’s of interest for other animation or education projects:

For those who want more than speculation, here's the Wikipedia article (complete with references):

Spoiler: It's not looking good for the "Pais" effect,

Identity and Freedom

Most sensible people accept that there is an objective reality out there, albeit wonderfully complex. Once we start assigning labels, things become more subjective because we have to choose what little to take into account and ignore everything else. …

Declan Brennan

Software Engineer, Entrepreneur, Lover of Science and Diversity in all its forms, Skeptic.

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