content:mathematics:map_folding_problem

# Wikenigma - an Encyclopedia of Unknowns Wikenigma - an Encyclopedia of the Unknown

# The Map Folding problem

The *Map Folding Problem* refers to the question of how many ways there are to fold a rectangular map along its (valley and peak) creases. (It's a companion of the *Stamp Folding Problem*, first described in 1891.)

For example : There are eight ways to fold a 2 Ã— 2 map along its creases, counting each different vertical sequence of folded squares as a distinct way of folding the map.

However :

[â€¦[ the general problem of counting the number of ways to fold a map remains unsolved.The numbers of ways of folding annÃ—nmap are known only forn â‰¤ 7

Source : Wikipedia

Further technical information : Math. Comp. 22 (1968), 193-199

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