Alternatively, the question can be stated as asking that if a billiard table can be constructed in any required shape, is there a shape possible such that there is a point where it is impossible to hit the billiard ball at another point, assuming the ball is point-like and continues infinitely rather than stopping due to friction. Straus asked whether a room with mirrored walls can always be illuminated by a single point light source, allowing for repeated reflection of light off the mirrored walls. The original formulation was attributed to Ernst Straus in the 1950s and has been resolved. Illumination problems are a class of mathematical problems that study the illumination of rooms with mirrored walls by point light sources. Lit and unlit regions are shown in yellow and grey respectively. The purple crosses are the foci of the larger arcs. Roger Penrose's solution of the illumination problem using elliptical arcs (blue) and straight line segments (green), with 3 positions of the single light source (red spot).
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |