Vol XXXII: 2023-2022

Issue 1  (July 2022)

A Finite Graph Approach to the Probabilistic Hadwiger-Nelson Problem

by Haydn Gwyn, Jacob Stavrianos

5

On the Babai and upper chromatic numbers of Rn with non-Euclidean distance

by William Jones and Jakub Kraus

29

No Repeated Slopes, Triangles and Polygons

by Shakhar Smorodinsky and Charles Wolf

40

Popularizing History: Karl-Friedrich Bonhoeffer and His Friends, A Review of “The Scientific World of Karl- Friedrich Bonhoeffer: The Entanglement of Science, Religion, and Politics” by Kathleen L. Housley

by Alexander Soifer

48

Issue 2  (October 2022)

Tiling the plane with hexagons: improved separations for k-colourings

 

by Aubrey D.N.J DeGrey and Jaan Parts

57

On lower bounds of the order of k-chromatic unit distance graphs

by Aubrey D.N.J DeGrey and Jaan Parts

72

A Generalization of Szlam's Lemma

by Alan Li, Amelia Shapiro, and Kaylee Weatherspoon

75

Maximal Tilings with the Minimal Tile Property 

by Iwan Praton

82

There is no censorship in the Western World, or is there? An essay in six movements

by Alexander Soifer

87

Issue 3  (January 2023)

Grid dissections of tangential quadrilaterals

 

by Erica Choi, Dan Ismailescu, Jiho Lee, and Joonsoo Lee

101

Saturated Sets of Distinct Integer Equilateral
Triangles

by Erich Friedman and James Tilley

117

Aperiodic Sets of Prototiles Extracted from the
Penrose Rhomb Tiling

by Mike Winkler

122

Pragmatism beats Historicism in our day and age

by  Alexander Soifer

132

Issue 4 (April 2023)

A 5-chromatic same-distance graph in the hyperbolic plane

 

by Geoffrey Exoo, Dan Ismailescu145
More certainty in coloring the plane with a forbidden distance interval…by by Jaan Parts159
Nesting Parallelepipeds, A Minimax Problemby Alexander Soifer186