Here's my solution in the J programming language. The cubes in the example are defined near the beginning, but you can use any other cube colorings you wish. My solution uses brute force and is unoptimized, but on a modern machine it still runs within a few seconds so I don't care.

<Reveal this spoiler or all spoilers in this node or all in this thread>

The output lists all the solutions and then gives the number of solutions just in case there are so many they scrolled out of the screen. Each solution is the list of four rotated cubes each given as six colors like in the input. The output is in spoiler tags.

<Reveal this spoiler>

Update: Let's compare the output with that of some of the other solutions posted in this thread.

<Reveal this spoiler>

Update: I cross-posted a description of the puzzle and my solution to the J wiki: Essays/InsanityCube.

Update 2010-11-29: has anyone linked to the description of this puzzle (called Instant Insanity there) on Jaap's puzzle page?

In reply to Re: Challenge: "Insanity" Cube Puzzle by ambrus
in thread Challenge: "Insanity" Cube Puzzle by liverpole

Title:
Use:  <p> text here (a paragraph) </p>
and:  <code> code here </code>
to format your post, it's "PerlMonks-approved HTML":


  • Posts are HTML formatted. Put <p> </p> tags around your paragraphs. Put <code> </code> tags around your code and data!
  • Titles consisting of a single word are discouraged, and in most cases are disallowed outright.
  • Read Where should I post X? if you're not absolutely sure you're posting in the right place.
  • Please read these before you post! —
  • Posts may use any of the Perl Monks Approved HTML tags:
    a, abbr, b, big, blockquote, br, caption, center, col, colgroup, dd, del, details, div, dl, dt, em, font, h1, h2, h3, h4, h5, h6, hr, i, ins, li, ol, p, pre, readmore, small, span, spoiler, strike, strong, sub, summary, sup, table, tbody, td, tfoot, th, thead, tr, tt, u, ul, wbr
  • You may need to use entities for some characters, as follows. (Exception: Within code tags, you can put the characters literally.)
            For:     Use:
    & &amp;
    < &lt;
    > &gt;
    [ &#91;
    ] &#93;
  • Link using PerlMonks shortcuts! What shortcuts can I use for linking?
  • See Writeup Formatting Tips and other pages linked from there for more info.