you might enjoy this video (Angela Collier - the most important material in science) https://youtu.be/1eUI38MpiYo
arctanthrope
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Cake day: November 25th, 2025
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the square-cube law is the fact that a larger object has a lower ratio of surface area to volume than a similarly-shaped smaller object; i.e. as the scale of an object increases linearly, its surface area increases as a square function, and its volume increases as a cubic function.
thermodynamically, this means an object twice the size has 4 times the heat transfer (which occurs at the outer surface), but 8 times the heat capacity (since heat is stored throughout the volume). so it’s heat loss is by raw numbers greater, but lower as a percentage of the total, i.e. the internal temperature is more stable


I do that and I have a BS in mathematics. and in 4th grade I literally used to write “I hate math” at the top of my math homework. as much as primary education systems want it to be, computation speed is not mathematical aptitude. you can memorize multiplication tables up to 20, that’s not gonna help you understand Cantor’s theorem