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Tilings of triangles

✍ Scribed by M. Laczkovich

Publisher: Elsevier Science
Year: 1995
Tongue: English
Weight: 759 KB
Volume: 140
Category: Article
ISSN: 0012-365X
DOI: 10.1016/0012-365x(93)e0176-5

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In this paper we prove that one can only tile a triangle with tiles all congruent to each other and similar to the original triangle when k ', I\* + k\*, or 3k\* tiles are used. The result is based on the geometry of packing and a result of I. Niven's on rational trigonometric values. In addition we