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Tiling and recursion

Published: 01 February 1987 Publication History

Abstract

A tiling problem is presented that demonstrates the power of recursion in the design of algorithms. When implemented as a program, the solution can be shown using a computer graphics display.

References

[1]
T. Apostol, Mathematical Anal~sis, 2nd ed., Addison-Wesley, Reading, Mass., 1974.
[2]
I. P. Chu and R. Johnsonbaugh, "Tiling boards with trominoes," J. Rec. Math., 18 (1985-86), 188-193.
[3]
i. P. Chu and R. Johnsonbaugh, "Tiling deficient boards with trominoes," Math. Mag., 59 (1986), 34-40.
[4]
G. G. Early and D. F. Stanat, "chinese rings and recursion," SIGCSE Bulletin, 17 (1985), 69-75, 82.
[5]
S. W. Golomb, "Checker boards and " Amer. Math. Mo, 61 (1954), polyominoes, 675-682.
[6]
S. W. Golomb, Polyominoes, Scribner's, New York, 1965.
[7]
N. Wirth, + Data Structures = Proqrams, Prentice-Hall, Englewood Cliffs, N. J., 1976.

Cited By

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  • (2012)Digging for algorithmic nuggets in the land of polyominoesProceedings of the 17th ACM annual conference on Innovation and technology in computer science education10.1145/2325296.2325312(52-56)Online publication date: 3-Jul-2012

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Permission to make digital or hard copies of all or part of this work for personal or classroom use is granted without fee provided that copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. Copyrights for components of this work owned by others than ACM must be honored. Abstracting with credit is permitted. To copy otherwise, or republish, to post on servers or to redistribute to lists, requires prior specific permission and/or a fee. Request permissions from [email protected]

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Association for Computing Machinery

New York, NY, United States

Publication History

Published: 01 February 1987
Published in SIGCSE Volume 19, Issue 1

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  • (2012)Digging for algorithmic nuggets in the land of polyominoesProceedings of the 17th ACM annual conference on Innovation and technology in computer science education10.1145/2325296.2325312(52-56)Online publication date: 3-Jul-2012

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