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单词 Map Folding
释义

Map Folding

A general Formula giving the number of distinct ways of folding an rectangular map is not known. Adistinct folding is defined as a permutation of numbered cells reading from the top down.Lunnon (1971) gives values up to .

111
228
36601368
4161980 300608
55919512 18698669
614415552


The limiting ratio of the number of strips to the number of strips isgiven by


See also Stamp Folding


References

Gardner, M. ``The Combinatorics of Paper Folding.'' Ch. 7 in Wheels, Life, and Other Mathematical Amusements. New York: W. H. Freeman, 1983.

Koehler, J. E. ``Folding a Strip of Stamps.'' J. Combin. Th. 5, 135-152, 1968.

Lunnon, W. F. ``A Map-Folding Problem.'' Math. Comput. 22, 193-199, 1968.

Lunnon, W. F. ``Multi-Dimensional Strip Folding.'' Computer J. 14, 75-79, 1971.


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