Volume ix

VOL IX

Geombinatorics Quarterly

July 1999 (Volume IX, Issue 1)

Editors Page   2
New Essays    
Monochromatic Intersection Points in Families of Numbers By Branko Grünbaum 3
More on the Fractional Chromatic Number By P.D. Johnson 10
Arithmetic of Complex Sets: Nickels Classical Paper Revisited from a Geometric Viewpoint By Vladik Kreinovich and Jürgen Wolf von Gudenberg. 21
Recent Books   27

October 1999 (Volume IX, Issue 2)

Part I    
Branko is 70 By Alexander Soifer 36
About Branko By Victor Klee 40
My work with Branko Grünbaum By G.C. Shephard 42
Branko Grünbaum is Seventy By Joseph Zaks 49
Part II    
Omittable Points By Branko Grünbaum 57
Minimum Saturated Packings of Congruent Integer Triangles By Heiko Harborth and Meinhard Möller. 63
Piercing Convex Polygons in the Plane By Moshe Rosenfeld 69
The Polygon Theorems of Pratt-Kasapi and Hoehn By G.C. Shephard 76
On Odd Integral Distances Rational Graph in Four-Dimensions By Joseph Zaks 90

January 2000 (Volume IX, Issue 3)

Editors Page   102
Dedicated to Branko Grünbaum    
Piercing Convex Polygons in the Plane By Moshe Rosenfeld 103
Special Feature Presentation    
Introduction to Colorings of Metric Spaces by Benda and Perles By Peter D. Johnson 110
Colorings of Metric Spaces By Miro Benda and Micha Perles. 113
New Essays    
Astral (n4) Configurations By Branko Grünbaum 127
Infinite Graphs and the Fractional Chromatic Number: Some Recent Surprises By Peter D. Johnson 135
Arbitrary Girth, 4-Chromatic Unit Distance Graphs in the Plane Part 1: Graph Description By Paul O’Donnell 145
Recent Books   151

April 2000 (Volume IX, Issue 4)

Editors Page   158
New Essays    
N-Vex Shapes By Erich Friedman 159
Which (n4) Configurations Exist? By Branko Grünbaum 164
Problems Posed in or Arising From “Colorings of Metrics Spaces”: Status Report By Peter D. Johnson 170
Arbitrary Girth, 4-Chromatic Unit Distance Graphs in the Plane Part 2: Graph Embedding By Paul O’Donnell 180
Thirteen Problems on Crossing Numbers By János Pach and Gézá Tóth 194
Politics Colored my Mathematics By Alexander Soifer 208
Recent Books   215