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On the relative lengths of the sides of convex polygons
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Veröffentlicht/Copyright:
21. Mai 2008
Abstract
Doliwka and Lassak proved that if n ≤ 5 then every convex n-gon has a relatively short side and a relatively long side. In this paper we prove that this is true for n ≤ 5 only. More precisely, for any n ≥ 6, there exist n-gons without any relatively short sides.
Received: 2006-09-21
Revised: 2007-01-11
Published Online: 2008-05-21
Published in Print: 2008-April
© de Gruyter 2008
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- Inner ideals and intrinsic subspaces of linear pair geometries
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- On the relative lengths of the sides of convex polygons
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Schlagwörter für diesen Artikel
Affine diameter;
relative length;
relatively short side;
relatively long side
Artikel in diesem Heft
- Ruled Weingarten hypersurfaces in
- Constructing topological parallelisms of PG(3, ℝ) via rotation of generalized line pencils
- A Gauss–Bonnet formula for closed semi-algebraic sets
- Inner ideals and intrinsic subspaces of linear pair geometries
- Staircase kernels
- Twisted McFarland and Spence designs and their automorphisms
- On the relative lengths of the sides of convex polygons
- The structure of full polarized embeddings of symplectic and Hermitian dual polar spaces
- Polar spaces, BLT-sets and generalized quadrangles
- Erratum to “On the Hilbert scheme of Palatini threefolds”
