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Finite edge-to-edge tilings by convex polygons

Part of: Discrete geometry

Published online by Cambridge University Press:  26 February 2010

Roswitha Blind  and
G. C. Shephard
Roswitha Blind
Affiliation:
Waldburgstraße 88, 70563 Stuttgart, Germany E-mail: blind@mathematik.uni-stuttgart.de.
G. C. Shephard
Affiliation:
17 Mill Green, Stoke Holy Cross, Norwich NR 14 8PB, England, U.K. E-mail: g.c.shephard@uea.ac.uk.
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Abstract

A tiling of a convex m-gon by a finite number r of convex n-gons is said to be of type <m, n, r>. The Main Theorem of this paper gives necessary and sufficient conditions on m, n and r for a tiling of type <m, n, r> to exist.

MSC classification

Secondary: 52C20: Tilings in $2$ dimensions

Information

Type
Research Article
Information
Mathematika , Volume 48 , Issue 1-2 , December 2001 , pp. 25 - 50
Copyright
Copyright © University College London 2001

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References

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