Logic Masters Deutschland e.V.

Laser-Interferenz, Teil 3

(Published on 7. September 2014, 17:30 by pirx)

Draw a laser beam into the diagram that only runs diagonally. The arrow pointing into the grid tells you where the laser beam enters. Draw horizontal and vertical mirrors on the intersections of the grid, such that the laser leaves the grid as indicated by the other arrow. The numbers on the left and top tell you how often the laser beam passes through a cell of that row/column. The numbers on the right and bottom tell you how many mirrors you have to put on the corresponding line. The laser beam crosses itself only at the marked places. It meets each mirror exactly once.

At crossings the laser beam interferes according to the following rules:

  • White square = constructive interference (brightness). The path difference D of the two incoming waves is an even multiple of the half wavelength lambda (for lambda=8 D is 8,16,24,32,...)
  • Black square = destructive interference (darkness). The path difference D of the two waves is an odd multiple of the half wavelength lambda (for lambda=8 D is 4,12,20,28,...)
  • Grey cross = no constructive and no destructive interference (for lambda=8 D is 2,6,10,14,...)

The wavelength lambda is given on top of the puzzle in units "diagonals" (i.e. for lambda=8 the wavelength is 8 diagonals).

An example is given in Teil 1.


Puzzle:

Solution code: The two main diagonals from top left to bottom right and from top right to bottom left: "0" for empty cells, "1" for cells occupied by the laser beam, followed by the total number of used mirrors.

Last changed on -
Solved by relzzup, ibag, rob, fridgrer, Alex, zorant, PRW, Luigi, r45, pokerke, Thomster, zuzanina, Zzzyxas, pin7guin, saskia-daniela, AnnaTh, tuace, ch1983, ffricke, sf2l, CHalb, uvo, matter, kiwijam, Krokofant, dm_litv, ildiko, Joe Average, Jesper
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Comments

on 9. September 2014, 20:42 by Luigi
Ich muss ehrlich zugeben, ich konnte dieses Rätsel nicht lösen. Mein Sohn Lennard hat dieses knackige Rätsel für mich gelöst und bewertet.

on 9. September 2014, 18:00 by Luigi
Ich muss ehrlich zugeben, ich konnte dieses Rätsel nicht lösen. Mein Sohn Lennard hat dieses knackige Rätsel für mich gelöst und bewertet.

on 8. September 2014, 17:09 by ibag
Ich fand es nicht nur deutlich leichter, sondern hab auch einen logischeren Lösungsweg gefunden als beim zweiten.

on 8. September 2014, 17:08 by rob
Tolle Variante!

Dieses fand' ich deutlich leichter als das zweite. Der Typ gefällt mir gut, nur die Lösungscodes waren etwas mühselig (vor allem, wenn man sich nicht sicher ist, ob jetzt der Code oder die Lösung falsch ist).

Difficulty:3
Rating:85 %
Solved:29 times
Observed:6 times
ID:000229
Puzzle variant Path puzzle
Laser

Enter solution

Solution code:

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