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Covering of all convex polyhedrons of class D
Abstract. It has been proved that for covering any convex polyhedron (which surface contains at least one piece of prismatic part) is sufficient to have eight polyhedrons of smaller size homothetic to the given one. The considered task is connected with Hadwiger problem of covering convex polyhedrons with body images at homothety.
Keywords: convex polyhedrons, classification, covering, homothety
Printed reference: Puolokainen T.M. Covering of all convex polyhedrons of class D // Vestnik of MSTU. 2013. V. 16, No 4. P. 783-788.
Electronic reference: Puolokainen T.M. Covering of all convex polyhedrons of class D // Vestnik of MSTU. 2013. V. 16, No 4. P. 783-788. URL: http://vestnik.mstu.edu.ru/v16_4_n54/783_788_puolo.pdf.
