Approximation of convex bodies by triangles
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- by Marek Lassak
- Proc. Amer. Math. Soc. 115 (1992), 207-210
- DOI: https://doi.org/10.1090/S0002-9939-1992-1057956-1
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Abstract:
We show that for every plane convex body $C$ there exist a triangle ${T_1}$ and its image ${T_2}$ under a homothety with ratio $\tfrac {5} {2}$ such that ${T_1} \subset C \subset {T_2}$. We prove the conjecture of Grünbaum that if $C$ is centrally symmetric, then ${T_1},{T_2}$ can be chosen so that their centroids coincide with the center of $C$.References
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Bibliographic Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 115 (1992), 207-210
- MSC: Primary 52A10; Secondary 52A27
- DOI: https://doi.org/10.1090/S0002-9939-1992-1057956-1
- MathSciNet review: 1057956