Email this article Orthogonal triangulation of polygons
- Authors: Kalnitsky V.S.1
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Affiliations:
- St. Petersburg State University
- Issue: Vol 49, No 4 (2016)
- Pages: 334-339
- Section: Mathematics
- URL: https://journal-vniispk.ru/1063-4541/article/view/185602
- DOI: https://doi.org/10.3103/S1063454116040075
- ID: 185602
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Abstract
In this study, the question whether any convex polygon can be divided using an orthogonal grid into right-angled triangles is answered in the negative. Moreover, it is demonstrated that there exists a convex pentagon which cannot be even approximated by divisible pentagons.
About the authors
V. S. Kalnitsky
St. Petersburg State University
Author for correspondence.
Email: st006987@spbu.ru
Russian Federation, Universitetskaya nab. 7–9, St. Petersburg, 199034
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