Dont s̶h̶u̶t̶ shoot me down particles in a Tokarsky unilluminable room

>> YOUR LINK HERE: ___ http://youtube.com/watch?v=U63o4enhQ4Q

This short video shows the motion of 5000 independent particles, reflected on the walls of a Tokarsky unilluminable room with absorbing corners. The red dot shows the point of origin of the particles, while the green dot is placed at the room's only safe spot, with a close-up showing its vicinity. • The Tokarsky room 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 such a way that no dark corners remain in the room? Of course, the room has to be in one piece (connected, as we say in mathematics): it should not consist of several separate rooms. • The problem was formulated by Ernst Straus in the 1950s, and first solved by Roger Penrose in 1958. He constructed a room that cannot be illuminated completely, wherever you put the light source. The room is built with four half-ellipses connected by straight parts, see for instance • Particles with trails in a Penrose un... • A second example, containing only straight walls, was found by Tokarsky in 1995. The solution works in the approximation of geometric optics, meaning that light travels in straight lines. Unlike Penrose's solution, it leaves only one single point in the dark, provided one considers that any ray hitting a vertex of the polygon disappears. To make the effect visible, the vertices of the polygon have been replaced by absorbing circles in this simulation. The two small circles inside the room indicate the position of the source of light, and the spot that is left dark. One thing to note is that unlike in the laser fight in a room of mirrors case • How to avoid being hit by a laser in ... here the source of light is also protected from reflected rays. • Render time: 1 minutes 10 seconds • Color scheme: Turbo, by Anton Mikhailov • https://gist.github.com/mikhailov-wor... • Music: Sunset Strip by Audionautix is licensed under a Creative Commons Attribution 4.0 licence. https://creativecommons.org/licenses/... • Artist: http://audionautix.com/ • Current version of the C code used to make these animations: https://github.com/nilsberglund-orlea... • https://www.idpoisson.fr/berglund/sof... • Some outreach articles on mathematics: • https://images.math.cnrs.fr/_Berglund... • (in French, some with a Spanish translation)

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