Download or read book Computer Search for Non isomorphic Convex Polyhedra written by Donald W. Grace and published by . This book was released on 1965 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: To classify the polyhedra, to survey the polyhedral shapes, and to exhaust their variety by orderly enumeration is a naturally attractive problem, noticed by Euler and Jakob Steiner, to which some mathematicians, especially Max Bruckner, devoted considerable work. With the latest high-speed digital computers decades of manual labor can be compressed into hours. This dissertation is concerned with the solution of the enumeration problem on a digital computer. A tri- linear polyhedron is one in which each vertex is incident with exactly three edges. Two polyhedra are isomorphic if a one-toone correspondence can be established between the vertices, edges, and faces of one with those of the other, so that the incidence relations between elements are preserved. Two polyhedra are called equi-surrounded if a one-to-one correspondence can be established between the faces of one and the faces of the other so that each pair of corresponding faces has equivalent surroundings -- i. e. the neighbors of the two faces in question, when taken in cyclic order clockwise, display the same pattern of edge-counts. Isomorphism implies equisurroundedness. A counter-example with 18 faces disproves the converse. However, for polyhedra with up to 17 faces we can apparently equate isomorphism with equisurroundedness.
Download or read book Convex Polytopes written by Branko Grünbaum and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The original edition [...] inspired a whole generation of grateful workers in polytope theory. Without it, it is doubtful whether many of the subsequent advances in the subject would have been made. The many seeds it sowed have since grown into healthy trees, with vigorous branches and luxuriant foliage. It is good to see it in print once again." --Peter McMullen, University College London
Download or read book Unsolved Problems in Geometry written by Hallard T. Croft and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematicians and non-mathematicians alike have long been fascinated by geometrical problems, particularly those that are intuitive in the sense of being easy to state, perhaps with the aid of a simple diagram. Each section in the book describes a problem or a group of related problems. Usually the problems are capable of generalization of variation in many directions. The book can be appreciated at many levels and is intended for everyone from amateurs to research mathematicians.
Download or read book Discrete Differential Geometry written by Alexander I. Bobenko TU Berlin and published by Springer Science & Business Media. This book was released on 2008-03-27 with total page 341 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first book on a newly emerging field of discrete differential geometry providing an excellent way to access this exciting area. It provides discrete equivalents of the geometric notions and methods of differential geometry, such as notions of curvature and integrability for polyhedral surfaces. The carefully edited collection of essays gives a lively, multi-facetted introduction to this emerging field.
Download or read book Technical Abstract Bulletin written by and published by . This book was released on with total page 780 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Government wide Index to Federal Research Development Reports written by and published by . This book was released on 1965-03 with total page 720 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Proceedings of the IBM Scientific Computing Symposium on Combinatorial Problems written by and published by . This book was released on 1966 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1994 with total page 702 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Mathematical Gazette written by and published by . This book was released on 1968 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mathematics of Computation written by and published by . This book was released on 1981 with total page 652 pages. Available in PDF, EPUB and Kindle. Book excerpt: Original articles on all aspects of numerical mathematics, book reviews, mathematical tables, and technical notes. Covers advances in numerical analysis, application of computer methods, high speed calculating, and other aids to computation.
Download or read book Convex Polyhedra with Regular Faces written by Viktor A. Zalgaller and published by Springer. This book was released on 1969 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Graph Theory written by Clifford W. Marshall and published by John Wiley & Sons. This book was released on 1971 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic concepts. Basic definitions of linear graphs. Edge sequenses and conectedness. Matrix representation of graphs. special graphs and subgraphs. Connectivity and independence in graphs. Planar graphs. Definitions and concepts of planar graphs. Straight line representation of planar graphs. Criteria for planar graphs. Determination of planarity. Hamilton graphs. Definitions and basic concepts. Cubical graphs. Additional results on Hamilton graphs. Graph coloring. Combinatorial theory. Radom graphs. Application in operations research. Applications in social science and psychology. Applications in physics.
Download or read book U S Government Research Development Reports written by and published by . This book was released on 1965-04-05 with total page 804 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Algebraic Decomposition of Non convex Polyhedra written by Herbert Edelsbrunner and published by . This book was released on 1995 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "Any arbitrary polyhedron P [subset of] R[superscript d] can be written as algebraic sum of simple terms, each an integer multiple of the intersection of d or fewer half-spaces defined by facets of P.P can be non-convex and can have holes of any kind. Among the consequences of this result are a short boolean formula for P, a fast parallel algorithm for point classification, and a new proof of the Gram-Sommerville angle relation."
Download or read book Automata Languages and Programming written by S. Michaelson and published by . This book was released on 1976 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Congressus Numerantium written by and published by . This book was released on 1970 with total page 664 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Index to Statistics and Probability Permuted titles A Microbiology written by John Wilder Tukey and published by American Mathematical Society(RI). This book was released on 1973 with total page 846 pages. Available in PDF, EPUB and Kindle. Book excerpt:
