From playlist 'Sleeping Sun' videos.
From playlist 'Sleeping Sun' videos.
An general explanation of the underactive thyroid.
From playlist For Patients
Broadcasted live on Twitch -- Watch live at https://www.twitch.tv/leioslabs
From playlist research
A pentagonal-parabolic resonator (perceptually uniform color map)
This is a variant of the simulation https://youtu.be/LGkfjzQB3oU with another color map. Following suggestions in a comment, I used a so-called perceptually uniform color map, implemented in the hsluv library found here https://github.com/adammaj1/hsluv-color-gradient - this is a very firs
From playlist Wave equation
Particles in a hexagonal-parabolic resonator
This #short animation shows a resonator made of six confocal parabolas in the approximation of geometric optics. The animation shows the behavior of a wave front, made of 50 000 particles, starting in the center of the picture. This center is the common focus of the six parabolic pieces of
From playlist Particles in billiards
Particles in a four-sided eccentric parabolic resonator
This particle analogue of the simulation https://youtu.be/KJGwn_0-_Ns shows 10 000 particles reflected off the walls of a resonating cavity made of 4 parabolic arcs. The speed of particles is approximately equal to the speed of the waves in the above video, allowing for a comparison, in pa
From playlist Particles in billiards
A moving light source in a Penrose unilluminable room
This #short video gives yet another illustration of how Penrose's solution of the illumination problem works. It shows a light source moving on a circular path inside the room. The path of light rays sent in 14 different directions is shown, giving an idea of which regions are illuminated.
From playlist Illumination problem
Waves in a Tokarsky unilluminable room
This simulation shows a solution of the wave equation in a Tokarsky room, which has been constructed in relation with the illumination problem. The illumination problem asks the following question: assume you have a room with mirrored walls. Is it always possible to place a light source in
From playlist Illumination problem
Statistics for an (almost) finite horizon Sinai billiard on the torus
This simulation is similar to the video https://youtu.be/4FH6MwcIT-U but with larger obstacles: the circles have radius 0.085 instead of 0.05 in the previous simulation. The distance between the centers of pegs is 0.2, while the columns of obstacles are at distance 0.2*sqrt(3)/2 = 0.1732.
From playlist Particles in billiards
Sinai billiard on a torus with triangular lattice, collisions and free path statistics
Like the video https://youtu.be/mLYes2W2U3Q, this seventh simulation with collision statistics in a Sinai billiard uses periodic boundary conditions (or wrap-around, or pacman-style boundaries), which gives "cleaner" collision and mean path distributions as for reflecting boundary conditio
From playlist Particles in billiards
Statistics for a Sinai billiard on the torus with Poisson-distributed obstacles
The video shows the motion of a particle bouncing off 349 obstacles distributed randomly according to a Poisson point process, in a rectangular domain with periodic boundary conditions. The Poisson point process is the most random distribution of points one can imagine, with each point bei
From playlist Particles in billiards
