Intuitive geometry
著者
書誌事項
Intuitive geometry
（Colloquia Mathematica Societatis János Bolyai, 48）
North-Holland, 1987
- : North-Holland
- : Bolyai
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注記
"The János Bolyai Mathematical Society held an International Conference on Intuitive Geometry in Siófok from 12 to 18 May 1985"--Pref.
Includes bibliographies and index
内容説明・目次
内容説明
Problems in discrete geometry, convexity and combinatorial geometry are examined in this volume. Some of the topics addressed include crystallography, classical differential geometry and rigidity theory. Other papers discuss the connections of geometry with biology, architecture, arts, and even psychology.
目次
Covering all Secants of a Square (I. Barany, Z. Furedi). Counter-Examples to a Packing Problem of L. Fejes Toth (A. Bezdek, G. Kertesz). On the Average Number of Neighbors in a Spherical Packing of Congruent Circles (K. Bezdek, R. Connelly, G. Kertesz). Linearly Related Plane Convex Sets (T. Bisztriczky, J. Schaer). Isoperimetric Division into Several Cells with Natural Boundary (M.N. Bleicher). Note on a Theorem of Wik (A. Blokhuis, K.A. Post, C.L.M. van Pul). Schlaefli's Differential Form in the Non-Euclidean Geometry of Polytopes and Some of Its Applications (J. Bohm). A New Polyhedron of Genus 3 with 10 Vertices (J. Bokowski, U. Brehm). On an Extremum Property of the Regular Simplex in S d (K. Boroczky). The Rich Line Problem of P. Erdos (Chin-Han Sah). A Packing of 840 Balls of Radius 8#0'19" on the 3-Sphere (H.S.M. Coxeter). Varying Two Tangent Hyperbolas (J. van de Craats). On the Regularity Condition of a Discrete Point System (P. Engel). Some Combinatorial and Metric Problems in Geometry (P. Erdos). Characterization of Centrally Symmetric Convex Domains in Planes of Constant Curvature (G. Fejes Toth, A. Kemnitz). Packing and Covering with Convex Discs (A. Florian). 6 Phases for the 8-Lambdas and 8-Deltas Configurations (R.K. Guy). Regular Point Sets with Unit Distances (H. Harborth). Diameters of Integral Point Sets (H. Harborth, A. Kemnitz). A Generalization of the Cones of Rotation (W. Jank). On the Isoperimetric Mapping in Minkowski Spaces (K. Johnson, A.C. Thompson). On Packings of Circular Discs in the Euclidean Plane with Prescribed Neighbourhood (E. Jucovic, S. Sevec). Discontinuous Groups in Normed Spaces (B. Klotzek). On Packing the Plane with Congruent Copies of a Convex Body (W. Kuperberg). Covering Plane Convex Bodies with Smaller Homothetical Copies (M. Lassak). An Upper Bound for the Intrinsic Volumes of Equilateral Zonotopes (J. Linhart). Non-Euclidean Crystallography (A.L. Mackay). 5-Neighbour Packing of Convex Plates (E. Makai, Jr.) Some Results and Problems around Zonotopes (H. Martini). About Distributions of Points in a Square and a Circle with Special Distance (W. Mogling). Compact Euclidean Space Forms Presented by Special Tetrahedra (H. Molnar). Pentagonal Faces of Simple Arrangements (I. Palasti). Application of 2-D and 3-D Crystallographic P-Symmetry Groups to the Study of Multi-Dimensional Symmetry Groups (A.F. Palistrant). Equidecomposable Polyhedra (R. Schneider). Analogues of Steinitz's Theorem about Non-Inscribable Polytopes (E. Schulte). Embedding 2-Manifolds into the Boundary Complex of Sewn 4-Polytopes (C.H. Schulz). A Star Polyhedron that Tiles but not as a Fundamental Domain (S. Szabo). Covering the Sphere with Equal Circles (T. Tarnai, Z. Gaspar). Extensions and Sharpenings of Brunn-Minkowski and Bonnesen Inequalities (B. Uhrin). An Isoperimetric Problem for Tilings (E. Vasarhelyi). On Systems of Circles Surrounding a Circle (I. Vincze). On Reflections in Mobius Planes (B. Wernicke).
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