Dissection of a Triangle into Similar Triangles
نویسندگان
چکیده
منابع مشابه
Tiling triangle ABC with congruent triangles similar to ABC
We investigate the problem of cutting a triangle ABC into N congruent triangles (the “tiles”), each of which is similar to ABC. The more general problem when the tile is not similar to ABC is not treated in this paper; see [1]. We give a complete characterization of the numbers N for which some triangle ABC can be tiled by N tiles similar to ABC, and also a complete characterization of the numb...
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15 صفحه اولTiling a Triangle with Congruent Triangles
We investigate the problem of cutting a triangle ABC into N congruent triangles (the “tiles”), which may or may not be similar to ABC. We wish to characterize the numbers N for which some triangle ABC can be tiled by N tiles, or more generally to characterize the triples (N,T ) such that ABC can be N-tiled using tile T . In the first part of the paper we exhibit certain families of tilings whic...
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ژورنال
عنوان ژورنال: Discrete & Computational Geometry
سال: 2005
ISSN: 0179-5376,1432-0444
DOI: 10.1007/s00454-005-1167-1