| Revision as of 21:30, 19 December 2010 editLarryisgood (talk | contribs)Extended confirmed users1,168 edits created page | Revision as of 21:38, 19 December 2010 edit undoErikHaugen (talk | contribs)Administrators15,849 edits added categoryNext edit → | ||
| Line 7: | Line 7: | ||
| This problem was solved by ] in 1995 for 2 dimensions, with a 26-sided room with a dark spot. This was a borderline case, however, since a finite number of dark ''points'' (rather than regions) that are unilluminable from any given position of the point source. A more rigorous solution was put forward by D.Castro in 1997, with a 24-sided room that | This problem was solved by ] in 1995 for 2 dimensions, with a 26-sided room with a dark spot. This was a borderline case, however, since a finite number of dark ''points'' (rather than regions) that are unilluminable from any given position of the point source. A more rigorous solution was put forward by D.Castro in 1997, with a 24-sided room that | ||
| ] | |||
Revision as of 21:38, 19 December 2010
 | This article or section is in a state of significant expansion or restructuring. You are welcome to assist in its construction by editing it as well. If this article or section has not been edited in several days, please remove this template. If you are the editor who added this template and you are actively editing, please be sure to replace this template with {{in use}} during the active editing session. Click on the link for template parameters to use.
This article was last edited by ErikHaugen (talk | contribs) 14 years ago. (Update timer) |
The illumination problem is a resolved mathematical problem first posed by Ernst Straus. There are several equivalent statements of the problem:
- If a room has walls that are all mirrors, is there any point at which a point light source will not illuminate another point in the room, allowing for repeated reflections.
- If a snooker table can be constructed in any required shape, is there a point where it is impossible to pot the billiard ball from another point, assuming the ball continues infinitely rather than being subject to friction.
This problem was solved by George Tokarsky in 1995 for 2 dimensions, with a 26-sided room with a dark spot. This was a borderline case, however, since a finite number of dark points (rather than regions) that are unilluminable from any given position of the point source. A more rigorous solution was put forward by D.Castro in 1997, with a 24-sided room that
Category: