Proceedings of the Steklov Institute of Mathematics 1993; 193 pp; softcover Volume: 196 ISBN10: 082183147X ISBN13: 9780821831472 List Price: US$164 Member Price: US$131.20 Order Code: STEKLO/196
 This collection of papers honors the 100th anniversary of the birth of Boris Nikolaevich Delone, whose mathematical interests centered on the geometry of positive quadratic forms. After an initial paper presenting an account of Delone's life, including his scientific work, the book centers on discrete geometry and combinatorics. The book presents new methods that permit a description of the structure of some \(L\)bodies and \(L\)partitionings and that, in many cases, provide a definitive description. Also studied are combinatorialtopological problems arising in the statistical Ising model, the disposition of finite point sets in convex bodies of high dimension under certain conditions, and investigations of regular partitionings of spaces of constant curvature. Readership Combinatorialists and number theorists with interest in geometric matters. Table of Contents  D. K. Faddeev, N. P. Dolbilin, S. S. Ryshkov, and M. I. Shtogrin  Boris Nikolaevich Delone (on his life and creative work)
 M. M. Anzin  On variations of positive quadratic forms (with applications to the study of perfect forms)
 E. P. Baranovskiĭ  Partitioning of Euclidean space into \(L\)polytopes of some perfect lattices
 A. N. Dranishnikov  SpanierWhitehead duality and the stability of the intersection of compacta
 N. P. Dolbilin, M. A. Shtan'ko, and M. I. Shtogrin  Combinatorial questions of the twodimensional Ising model
 N. P. Dolbilin, M. A. Shtan'ko, and M. I. Shtogrin  Quadrillages and parametrizations of lattice cycles
 O. R. Karalashvili  On mappings of cubic manifolds into the standard lattice of Euclidean space
 M. D. Kovalev  On the curvatures of tangent spheres
 V. S. Makarov  On a nonregular partitioning of \(n\)dimensional Lobachevsky space by congruent polytopes
 V. S. Makarov and K. P. Makarova  On a geodesic on a SeifertWeber manifold
 E. A. Morozova and N. N. Chentsov  Projective Euclidean geometry and noncommutative probability theory
 M. M. Postnikov  Threedimensional spherical forms
 S. S. Ryshkov, S. A. Chepanov, and N. N. Yakovlev  On the dissociation of point systems
 K. A. Sitnikov and E. E. Skurikhin  Homology on presheaves of sets
 S. S. Ryshkov and R. M. Èrdal  Dual systems of integer vectors and their application to the theory of \((0,1)\)matrices
