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Cake day: October 6th, 2023

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  • One of the famous ones is laminar flow in a tube or pipe. There’s a very nice physics formula to compute Reynolds number, and when it’s over 3500, flow is usually turbulent, and below 2000 it’s usually laminar. And anywhere in between? Eh, it kinda depends. Unless there are bends in the tube, then it depends even more. Oh, and when your flow is not in a tube, the values wildly vary even more.

    There’s a concept of “angle of repose”, basically at what slope will loosely poured materials sit. There are super complex modern models to compute that, based on grain size and shape. But there’s also a half-page table listing anything from asphalt to coffee beans, which is literally the law in a lot of countries. That table is older than the age of sail in most cases and zero maths went into it.

    And then there is the hilarious official ways to determine the characteristics of concrete and asphalt. The flow test, for example includes the highly scientific steps of “pour into a specific cone and poke 25 times with a two by four, then measure the circle on the floor”. This number is then used in several calculations.



  • Calculus is a specific field of mathematics, mostly to do with limits, integrals and derivatives. Those all feature very heavily in working out loads and stresses.

    But it’s unfair to say the Roman didn’t have calculus. It wasn’t formal calculus, but they absolutely had mathematics, and the Greeks worked out the exhaustion method a century before the Via Appia was even started.

    You don’t need calculus to do some very impressive building, you can go very very far with experience, rules of thumb and basic maths. Hell, ask any civil engineer and they’ll gladly show you some common formula that makes physicists cry.






  • People just don’t understand mirrors.

    I did a horrifying experiment in uni with a mirror on the wall, and asked people to point at where they thought they could see their reflection . The obvious answer is of course “when you’re next to it”. A terrifyingly large number of people at a University assumed they could see themselves at a 45 to 60 degree angle, so several step before they actually reached the mirror.

    Some of them were even shocked when they walked along it.