Abstract
Convex bodies are often used for mathematical tests. They occasionally try to escape. Can the testing mathematician hold them still by using a circle? Rarely not.
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Besicovitch, A. S. and Eggleston, H. G.: The total length of the edges of a polyhedron,Quart. J. Math. Oxford Ser. (2) 8 (1957), 172–190.
Besicovitch, A. S.: A net to hold a sphere,Math. Gaz. 41 (1957), 106–107.
Besicovitch, A. S.: A cage to hold a unit-sphere,Proc. Sympos. Pure Math. Vol. VII, Amer. Math. Soc., Providence, RI, 1963, pp. 19–20.
Coxeter, H. S. M.: Review 1950,Math. Reviews 20 (1959), 322.
Gruber, P. M.: Aspects of approximation of convex bodies, in P. Gruber and J. Wills (eds), Handbook of Convex Geometry, Elsevier Science Publishers, 1993.
Valette, G.: A propos des cages circonscrites à une sphère,Bull. Soc. Math. Belg. 21 (1969), 124–125.
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The final part of the work for this paper was done during the COST mobility action CIPA-CT-93-1547 and supported by the European Community.
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Zamfirescu, T. How to hold a convex body?. Geom Dedicata 54, 313–316 (1995). https://doi.org/10.1007/BF01265346
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DOI: https://doi.org/10.1007/BF01265346