This video explains why Tokarsky's polygonal mirrored rooms have pairs of points that cannot light each other. In other words, if two people stand in these two points, they won't be able to see each other, despite all the mirrors.
Introduction: 0:00
Illumination problem: 0:46
Penrose's solution: 2:14
Polygonal rooms: 3:12
Tokarsky's solution: 6:13
Right isosceles triangle: 8:08
Paper windmill: 15:46
Tokarsky's solution explained: 18:11
Rooms without right angles: 20:23
Waves: 21:51
Mazes and a general result: 25:37

Playlist on the illumination problem: [ Ссылка ]
Penrose's solution: [ Ссылка ]
Steve Mould's video: [ Ссылка ]
Torkarsky's room: [ Ссылка ]
Yellow's fate in Torarsky's room: [ Ссылка ]
A solution without right angles: [ Ссылка ]
Waves in the room without right angles: [ Ссылка ]
Waves in Penrose's room: [ Ссылка ]
Playlist with tutorials: [ Ссылка ]

C code: [ Ссылка ]
[ Ссылка ]

#illumination #illumination_problem #Tokarsky #billiard #billiards

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