TY - JOUR
T1 - Interlocking of convex polyhedra
T2 - Towards a geometric theory of fragmented solids
AU - Kanel-Belov, A. J.
AU - Dyskin, A. V.
AU - Estrin, Y.
AU - Pasternak, E.
AU - Ivanov-Pogodaev, I. A.
PY - 2010
Y1 - 2010
N2 - The article presents arrangements of identical regular poly-hedra with very special and curious properties. Namely, the solids are situated in a sort of a layer and are interlocked in the sense that no one of them can be moved out without disturbing others. This situation cannot happen in the plane. First examples of this sort (composed of irregular convex polyhedra) were complicated and were constructed in a non regular way by G. Galperin. The examples presented here were constructed in framework of applied studies by the authors, C. Khor and M. Glick-man and were not described in mathematical publications. The full version of this paper is presented here:http://arxiv.org/abs/0812.5089.
AB - The article presents arrangements of identical regular poly-hedra with very special and curious properties. Namely, the solids are situated in a sort of a layer and are interlocked in the sense that no one of them can be moved out without disturbing others. This situation cannot happen in the plane. First examples of this sort (composed of irregular convex polyhedra) were complicated and were constructed in a non regular way by G. Galperin. The examples presented here were constructed in framework of applied studies by the authors, C. Khor and M. Glick-man and were not described in mathematical publications. The full version of this paper is presented here:http://arxiv.org/abs/0812.5089.
KW - Combinatorial geometry
KW - Convex polyhedron
KW - Interlocking structures
KW - Tilling
UR - http://www.scopus.com/inward/record.url?scp=79961007773&partnerID=8YFLogxK
U2 - 10.17323/1609-4514-2010-10-2-337-342
DO - 10.17323/1609-4514-2010-10-2-337-342
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AN - SCOPUS:79961007773
SN - 1609-3321
VL - 10
SP - 337
EP - 342
JO - Moscow Mathematical Journal
JF - Moscow Mathematical Journal
IS - 2
ER -