Abstract
A figure F and a target set T are given in the plane. We say that the figure F fits in the target T, or, equivalently, the target T covers the figure F, when there is a rigid motion μ (an isometry of the plane) so that μ(F) ⊆ T, i.e., if T has a subset congruent to F. In this paper we find necessary and sufficient conditions for a triangle with sides a, b, c to fit into a rectangle with sides u and v.
This research was supported by National Natural Science Foundation of China 10571042, Hebei NSF A2005000144, Tianyuan Fund for Mathematics 10426013 and Fund of Hebei Province for Doctorate B2004114.
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Yuan, L., Movshovich, Y., Ding, R. (2007). Fitting Triangles into Rectangles. In: Akiyama, J., Chen, W.Y.C., Kano, M., Li, X., Yu, Q. (eds) Discrete Geometry, Combinatorics and Graph Theory. CJCDGCGT 2005. Lecture Notes in Computer Science, vol 4381. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-70666-3_27
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DOI: https://doi.org/10.1007/978-3-540-70666-3_27
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