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"Langton Cubes (4 values)" by N7DOT

added 14 Nov 2013 00:17
Solved1/1
Cooked0/1
Difficulty3.00
Style4.00
Rigidity7.00
Shortest Solution
NameOriginal
Length70 moves
ByN7DOT
On14 Nov 2013 00:17

Comments (turn spoilers off)
18577 Langton Cubes (4 values) N7DOT (2227) Thu 14 Nov 2013 01:36  
  Moved to graveyard:
Back to the drawing board for anti-cooking purposes...

(also, I completed antoher implementation, but the solution is long enough due to the puzzle's length itself that I can't upload it yet)
 
18576 Langton Cubes (4 values) N7DOT (2227) Thu 14 Nov 2013 01:33  
  That is an oops! That's going to be a pain to fix... (I'm not going to settle for 3 values since that is too easy...)
 
18575 Langton Cubes (4 values) Dave (2400) Thu 14 Nov 2013 01:04 SPOILER
  Added solution "Oops!."
 
18574 Langton Cubes (4 values) N7DOT (2227) Thu 14 Nov 2013 00:17  
  'Langton Cubes (4 values)' uploaded by N7DOT:
Here is a implementation of the puzzle mentioned earlier. The original version I was working on had 8 different values, but that was going to require a lot of tedious copying and remote destination setting in a huge jungle of a D-map. So I decided that I should at least make a simpler version that wasn't such a mess. And how much simpler it is.

Before I go any further, I should probably state what's being implemented in the first place! The puzzle is this:

Place N pairs of cards in a row with values 1 to N, and then rearrange the cards such that for any two cards with value X there are exactly X cards separating them.
In the case of N=4 (as it is here) there is only one solution, ignoring its reflection. This means that the rigidity should be very high; maybe around a 9.

Grey=1, Blue=2, Red=3, Green=4

(and I know, calling them cubes then cards is silly; cards are an easy way to try the puzzle yourself, and the cubes bit... well, I'll leave that to you)