Timeline for Given two points on a plane, and an area find all possible lines connecting the points.
Current License: CC BY-SA 3.0
13 events
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May 12, 2015 at 1:42 | comment | added | AlanZ2223 | Say once you take a step down, you cant go up, or versa vise. Also you cannot cross your own path twice | |
May 11, 2015 at 23:22 | comment | added | M. Wind | If you are allowed to visit a location more than once, than the number of paths is unlimited. On the other hand of you can visit a location only once, it is easy to get trapped between your own path and the walls of your area. For example in your picture, go $RDDDLUU$ and you are stuck. | |
May 11, 2015 at 23:09 | vote | accept | AlanZ2223 | ||
May 11, 2015 at 22:48 | history | edited | AlanZ2223 | CC BY-SA 3.0 |
added 38 characters in body
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May 11, 2015 at 22:37 | comment | added | Joffan | You seems to implicitly assume that the path is indeed confined to the integer grid lines (despite your mention of "diagonally"). In your example, there are far more than 3 possible paths from x to y, unless there are more constraints you haven't yet explained. For example, starting from x, go down 1, right 2, up 1, left 1, up 1, right 1 to end at y. Is this one of the 3 paths? | |
May 11, 2015 at 22:30 | history | edited | AlanZ2223 | CC BY-SA 3.0 |
added 321 characters in body
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May 11, 2015 at 22:20 | answer | added | architectpianist | timeline score: 0 | |
May 11, 2015 at 22:15 | comment | added | Joffan | I'm guessing there must be some constraint on what is meant by a valid path, otherwise there are clearly unlimited possibilities. Is the path confined to the integer grid? Or to line segments joining integer lattice points? Is there some restriction on directions? On revisiting points already part of the path? | |
S May 11, 2015 at 22:05 | history | suggested | marco11 | CC BY-SA 3.0 |
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May 11, 2015 at 22:02 | history | asked | AlanZ2223 | CC BY-SA 3.0 |