Première vidéo !
https://www.youtube.com/watch?v=5_meWbzVGLQ

Permet de donner l'esprit de la chaîne : modéliser des processus naturels pour discuter des concepts en écologie et de la manière de les étudier à travers la programmation de modèles.
Tout ça dans une ambiance détendue, parfois contemplative, et un visuel didactique !

Wenn man auf Youtube geniale Mathe-Animationen sieht und der Entwickler der Python-Bibliothek erklärt dann haarklein, wie man sie anwendet …
https://www.youtube.com/watch?v=rbu7Zu5X1zI
#geometrie #mathe #python #3Blue1Brown #MAnim

Hackaday Links: October 13, 2024 - So far, food for astronauts hasn’t exactly been haute cuisine. Freeze-dried cereal... - https://hackaday.com/2024/10/13/hackaday-links-october-13-2024/ #hackadaycolumns #nuclearreactor #hackadaylinks #carbonaceous #3blue1brown #billionaire #datacennter #mathematics #superyacht #animation #astronaut #spacefood #asteroid #biomass #slider #python #manim #space #yacht #ai

I want to be able to make some sort of explainer #video about some of the techniques I used to make my latest #game, Apathello.

So I'm using #Manim, a #Python module originally made by 3Blue1Brown for his #math explainer videos, to make #Othello board #animations.

Here's my progress.

Another #manim video, this time #math stuff. One of my favorite "proof without words" #proof of the #Pythagoras theorem.

This version of this proof has a square of side length equal to the hypotenuse inside 4 triangles. At some point, I also want to do the other version of this proof where the triangles go inside a square with side=hypotenuse. Same principle, except the algebra uses the square of a difference (𝑎−𝑏)² instead of the square of a sum used in this proof. In both cases a 2𝑎𝑏 term cancels out to reveal the Pythagoras theorem.

As is usual with learning a new thing I'm realizing that my earlier animation of the Master theorem could've been made much better if I had bothered to read up some other sections of the reference manual.

After learning how to do it today, here's my first go at using the #manim library to create an animation explaining a #math concept. Although here I suppose it is more a #computerscience or analysis of #algorithms concept.

I haven't provided any context in the animation (I ran out of coding+compiling steam once the core explanation was satisfactory to me). It highlights the key ideas and terms for the three primary cases of the Master theorem for solving recurrences. It is not the most general form, but is perhaps the easiest/most useful form for an undergrad to grasp.

Allows analyzing recursive algorithms which split a problem with input size 𝑛 into 𝑎 subproblems, each of size 𝑛/𝑏 and spends 𝑛ᶜ time to perform the splitting into subproblems and/or recombining of subproblem solutions to get the overall solution.

The final runtime depends on 𝑐 and on what is often called the critical exponent \(\log_b (a)\). When teaching, I often frame it as let these two fight and whoever wins will dominate the runtime. If it is a draw, they compromise by throwing an extra log𝑛 term in there. At least that's my mnemonic.

Let’s start with the #physics posts then!

This is a little animation I made with #manim to explain the #dopplereffect visually.

Note how the space between pulses, i.e. the frequency, appears to change depending on the source’s velocity relative to the observer. Also shockwaves!

Wow, today I learned about #Manim, a #python library to create mathematical animations and scientific presentations.

https://www.manim.community/

Just saw a presentation using it and I must say it looked really amazing.
Sure, it does not make good content any less necessary, but, beyond the glitter, it could be really useful for people looking for ways to do animations, understandable 3D plots...