Geodesic

Volume 13 (1995) no. 3-4

Sommaire

Improved Bounds on Weak e-Nets for Convex Sets.
p. 1-16
Chiral Polytopes from Hyperbolic Honeycombs.
p. 17-40
Better Lower Bounds on Detecting Affine and Spherical Degeneracies.
p. 41-58
Lattice-Free Polytopes and Their Diameter.
p. 59-76
An Efficient Algorithm for Guard Placement in Polygons with Holes.
p. 77-110
Dynamic Euclidean Minimum Spanning Trees and Extrema of Binary Functions.
p. 111-122
Reconfiguring Closed Polygonal Chains in Euclidean d-Space.
p. 123-140
Decomposition of Convex Figures into Similar Pieces.
p. 143-148
Intersections of Curve Systems and the Crossing Number of C5 x C5 .
p. 149-160
On Minimum and Maximum Spanning Trees of Linearly Moving Points.
p. 161-176
The Mayer-Vietoris and IC Equations for Convex Polytopes.
p. 177-188
Problems of Distance Geometry and Convex Properties of Quadratic Maps.
p. 189-202
Lower-Bound Theorems for Pseudomanifolds.
p. 203-216
Inequalities for Convex Bodies and Polar Reciprocal Lattices in Rn.
p. 217-232
Successive Minima, Intrinsic Volumes, and Lattice Determinants.
p. 233-242
Guest Editors' Foreword.
p. 243-244
Bounding the Piercing Number.
p. 245-256
Arrangements of Segments that Share Endpoints: Single Face Results.
p. 257-270
Mahler's Conjecture and Wavelets.
p. 271-278
The Limit Shape of Convex Lattice Polygons.
p. 279-296
Sausages are Good Packings.
p. 297-312
Finite and Uniform Stability of Sphere Coverings.
p. 313-320
The Cubical d-Polytopes with Fewer than 2d+1 Vertices.
p. 321-346
Equifacetted 3-Spheres as Topes of Non-polytopal Matroid Polytopes.
p. 347-362
An Elementary Approach to Lower Bounds in Geometric Discrepancy.
p. 363-382
What Are All the Best Sphere Packings in Low Dimensions?
p. 383-404
The Countability of a Tiling Family and the Periodicity of a Tiling.
p. 405-414
The Union of Balls and Its Dual Shape.
p. 415-440
Two Combinatorial Problems in the Plane.
p. 441-444
Covering the Plane with Two Kinds of Circles.
p. 445-458
A Left-First Search Algorithm for Planar Graphs.
p. 459-468
On the Connected Components of the Space of Line Transversals to a Family of Convex Sets.
p. 469-476
Largest j-Simplices in n-Polytopes.
p. 477-516
A Helmholtz-Lie Type Characterization of Ellipsoids, I .
p. 517-528
On Surface-Minimizing Polyhedral Decompositions.
p. 529-540
Isoperimetric Problems for Convex Bodies and a Localization Lemma.
p. 541-560
Knotted Lattice-Like Space Fillers.
p. 561-568
Tilings of the Square with Similar Rectangles.
p. 569-572
Polytopes that Fill Rn and Scissors Congruence.
p. 573-584
Embedding a Polytope in a Lattice.
p. 585-592
Tight Upper Bounds for the Discrepancy of Half-Spaces.
p. 593-602
Another Space-Filling Trefoil Knot.
p. 603-608
Isoperimetric Inequalities for Infinite Hyperplane Systems.
p. 609-628
On Antipodal and Adjoint Pairs of Points for Two Convex Bodies.
p. 629-636
Probability that n Random Points Are in Convex Position.
p. 637-643