Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Mutando of Insanity   Puzzles based on coloured cubes and other coloured geometrical figures have a
long history in the recreational mathematical literature. One of the most
commercially famous of these puzzles is the Instant Insanity that consists of
four cubes. Their faces are coloured with four different colours in such a way
that each colour is present in each one of the four cubes. To solve the puzzle,
one needs to stack the cubes in a tower in such a way that each one of the
colours appears exactly once in the four long faces of the tower. The main
purpose of this paper is to study the combinatorial richness of a mathematical
model of this puzzle by analysing all possible ways of colouring the cubes to
form a puzzle analogous to the Instant Insanity. We have done this analysis for
$n$ cubes and $n$ colours for $n=4, 5, 6$. This combinatorial analysis allowed
us to design the Mutando of Insanity, a puzzle that we presented at Gathering
for Gardner 12 (G4G12).

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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
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The categories of this paper are: solv-int
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The categories of this paper are: chem-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: supr-con
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: nlin
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The categories of this paper are: math-ph
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The categories of this paper are: econ
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The categories of this paper are: cmp-lg
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-th