Monochromatic triangles in two-colored plane |
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Authors: | Vít Jelínek Jan Kynčl Rudolf Stolař Tomáš Valla |
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Affiliation: | (1) Department of Industrial Engineering and Management, National Taipei University of Technology, No. 1, Sec. 3, Chung-Hsiao East Rd., Taipei, Taiwan R.O.C.;(2) Department of Industrial Management, Van-Nung Institute of Technology, Chung-Li, Taiwan R.O.C. |
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Abstract: | We prove that for any partition of the plane into a closed set C and an open set O and for any configuration T of three points, there is a translated and rotated copy of T contained in C or in O. |
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