3D illustrations to Chapter 8 of Cromwell's Polyhedra
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Izidor Hafner, Tomislav Zitko (2007)
Visual Mathematics
P.R. Goodey, M.M. Woodcock (1978)
Mathematische Annalen
Meir Katchalski (1986)
Mathematica Scandinavica
Harold Bell (1976)
Revista colombiana de matematicas
J. Eckhoff (1993)
Discrete & computational geometry
G. Fejes Tóth, T. Bisztriczky (1989)
Journal für die reine und angewandte Mathematik
Breen, Marilyn (1985)
International Journal of Mathematics and Mathematical Sciences
Leonidas J. Guibas, Peter W. Shor, A. Aggarwal, James Saxe (1989)
Discrete & computational geometry
Kupitz, Yaakov, Martini, Horst, Wegner, Bernd (1996)
Beiträge zur Algebra und Geometrie
Groemer, H., Wallen, L.J. (2001)
Beiträge zur Algebra und Geometrie
Marek Lassak, Monika Nowicka (2010)
Colloquium Mathematicae
Denote by Kₘ the mirror image of a planar convex body K in a straight line m. It is easy to show that K*ₘ = conv(K ∪ Kₘ) is the smallest by inclusion convex body whose axis of symmetry is m and which contains K. The ratio axs(K) of the area of K to the minimum area of K*ₘ over all straight lines m is a measure of axial symmetry of K. We prove that axs(K) > 1/2√2 for every centrally symmetric convex body and that this estimate cannot be improved in general. We also give a formula for axs(P) for...
Cieslak, Waldemar, Zajac, Jósef (1985/1986)
Portugaliae mathematica
G. Srinivasaraghavan, A. Mukhopadhyay (1994)
Discrete & computational geometry
Amar, M., Berrone, L.R., Gianni, R. (2008)
JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]
Ling, Joseph M. (2007)
Beiträge zur Algebra und Geometrie
Kharazishvili, A. (2002)
Georgian Mathematical Journal
R. Hayward (1989)
Discrete & computational geometry
K. Bezdek, János Pach (1985)
Elemente der Mathematik
J.S. Chang, C.K. Yap (1986)
Discrete & computational geometry
Helge Tverberg (1979)
Mathematica Scandinavica
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