You might have stumbled on this page from my Twitter profile, where I post a lot of math animations that I make in my spare time. Here are a few of my favorites. (If youβre curious, I make almost all of my animations in Mathematica.) If you want to see more of these, you can follow me on Twitter!
As stars burn hotter and hotter, they go from looking red to orange to yellow to white to blue...
β Ben Bartlett (@bencbartlett) November 10, 2020
But why are there no green stars?π [1/4] pic.twitter.com/4pRFmv7ojF
Hydrogen wavefunctions transitioning between states with different quantum numbers π,π,π. βοΈ
β Ben Bartlett (@bencbartlett) July 27, 2020
Each transition shows a state Ξ±|πππβ©+Ξ²|π'π'π'β©, where Ξ± decreases and Ξ² increases. Dots represent the values of πππ, and the solid lines show possible allowed values. pic.twitter.com/vPppgZuHfP
Incoherent light sources (like a lightbulb) can actually be coherent at very small timescales!
β Ben Bartlett (@bencbartlett) March 9, 2021
β£ 10β»ΒΉβΆs: the EM waves can be seen
β£ 10β»ΒΉβ΄s: interference patterns visible
β£ 10β»βΆs: light source seems incoherent pic.twitter.com/WTuXergggI
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more fun with Lorenz attractors... this time from the particle's point of view! https://t.co/8t03Oc9Dyi pic.twitter.com/etWWRJ1gsu
β Ben Bartlett (@bencbartlett) July 1, 2020
If you take a piece of paper and repeatedly fold it in half by 90Β°, you can make a dragon curve! pic.twitter.com/4Oxhpjc4ce
β Ben Bartlett (@bencbartlett) September 10, 2020
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also i spent the whole weekend learning Blender to make this title slide animation so i hope you like it pic.twitter.com/IF3y9ZN9eH
β Ben Bartlett (@bencbartlett) April 29, 2022
My new paper on photonic quantum programmable gate arrays is now on arXiv! πΎβοΈπ We describe an architecture for a nanophotonic integrated circuit which can be reprogrammed to perform any quantum computation. https://t.co/rI1IcO5o5a pic.twitter.com/XsFmLip2c8
β Ben Bartlett (@bencbartlett) October 23, 2019
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Spherical harmonic oscillation in diamond
β Ben Bartlett (@bencbartlett) December 27, 2019
I used Mathematica and LuxCoreRender to create this ray-traced animation pic.twitter.com/YDuPVowj3b
This animation shows a very over-engineered way of adding 1+1=2
β Ben Bartlett (@bencbartlett) May 2, 2020
I wrote a Python package that compiles arbitrary logic circuits into a system of interacting spins. When cooled to 0K, the computation result is encoded in the ground state of the spins. https://t.co/lNGQmLgHkU pic.twitter.com/o43k4baGln
Near an π¦π΄π΄π¦π―π΅πͺπ’π π΄πͺπ―π¨πΆππ’π³πͺπ΅πΊ, an analytic function takes on all possible values infinitely many times except possibly one. pic.twitter.com/KMuGCwxAZb
β Ben Bartlett (@bencbartlett) August 13, 2020
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It's been a while since I've made a math animation... Here's a Lorenz attractor π¦ pic.twitter.com/vLEVhTcR5p
β Ben Bartlett (@bencbartlett) June 9, 2020
since some people asked for this, here's this animation rendered in glorious 3D! https://t.co/2pkx30TrMf pic.twitter.com/0mbozOrbSH
β Ben Bartlett (@bencbartlett) August 7, 2020
( zβ΄ + eΒ³β±α΅ ) / eβ»β±α΅ pic.twitter.com/4Ei7pNoXtE
β Ben Bartlett (@bencbartlett) August 6, 2020
If an object is in any circular orbit, its escape velocity is always β2 times its current velocity pic.twitter.com/U0BiCj6Rvq
β Ben Bartlett (@bencbartlett) August 4, 2020
This is a neural network learning to compute electromagnetic field solutions... without using any training data!
β Ben Bartlett (@bencbartlett) August 5, 2020
β’ Grey = permittivity Ι(x) at each pixel
β’ Blue = true electric field πΈ(x)
β’ Orange = NN's predicted electric field
Code: https://t.co/kXciJdqIuF
πDetails:π pic.twitter.com/ByzQ7AgNGf
Take two planets and draw lines connecting them as they orbit. A beautiful cardioid flower pattern will emerge! Now what happens if you vary the ratio of the planetsβ orbital radii? pic.twitter.com/nxPwl2qvr5
β Ben Bartlett (@bencbartlett) July 7, 2020
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The fractional Fourier transform πβΏ is a generalization of a Fourier transform which decomposes functions into some intermediate domain between real-space and frequency-space depending on the fractional value π. pic.twitter.com/Y8K53x8aSh
β Ben Bartlett (@bencbartlett) July 24, 2020
It's called the Lorenz π’π΅π΅π³π’π€π΅π°π³ because all nearby points are π’π΅π΅π³π’π€π΅π¦π₯ into the set of chaotic orbits, regardless of initial conditions pic.twitter.com/njvjfNVo9h
β Ben Bartlett (@bencbartlett) September 20, 2021
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Single-photon pulse propagating through a dispersive medium like glass pic.twitter.com/wZirbuV0EL
β Ben Bartlett (@bencbartlett) October 5, 2019
A circularly polarized wave is the sum of a vertical and horizontal wave out of phase by Ο/2 pic.twitter.com/q79MhbeiV2
β Ben Bartlett (@bencbartlett) August 18, 2020
The Weierstrass function is a pathological real-valued function which is continuous everywhere but differentiable nowhere pic.twitter.com/lF1BPdsx3b
β Ben Bartlett (@bencbartlett) December 9, 2019
πΊdoot dootπΊ it's #Spooktober now, so here's some of Mr. Skeltal's eigenmodes pic.twitter.com/mhwuRYaxDp
β Ben Bartlett (@bencbartlett) October 2, 2019