Geombinatorics Quarterly

Issue 4 (April 2022)

Taking Sides: Geombinatorics' Response to the War and Boycottsby Alexander Soifer148
Is there a better visualization of Coulson's "15-colouring of 3-space omitting [monochromatic] distance one"?by John ConwayAubrey D.N.J de Grey, Jaan Parts, and Alexander Soifer156
Perfect plinths: a path to resolving the perfect cuboid question?by Aubrey de Grey157
Maximum Number of Pseudo Diagonals With a Minimum Number of Multiple Crossings for Convex Polygonsby Heiko Harborth and Christian Thürmann163
Some Non-Trivial Examples of Equiprojective Polyhedraby Masud Hasan, Mohammad Monoar Hossain, Alejandro López-Ortiz, and Sabrina Nusrat170
A Simpler Kind of Frobenius Theorem in the Gaussian Integersby Peter Johnson and Travis Pence178
On the Plane and Its Coloringby Jaan Parts189

Issue 1 (July 2021)

Factorization of Platonic Polytopes into Canonical Spheres

By Richard H. Hammack and Paul C. Kainen

5

On the Combinatorics of Some Origami Models and Related Graphs

ByZsolt Lengvárszky and John Smith

10

Answer to an Isomorphism Problem in Z2

ByMatt Noble

19

Tilings with the Minimal Tile Property

ByIwan Praton

27

Non-Permitted Journeys and Hamiltonian Paths

by Mark Stander

32

Problematic Book on Ramsey Theory: Alexander Soifer’s Review in 8 movements of “Ramsey Theory: Unsolved Problems and Results”

by Xiaodong XuMeilian Liang and Haipeng Luo

39

Issue 2 (October 2021)

The chromatic number of the Minkowski plane -the regular polygon case

by Geoffrey Exoo, David Fisher, and Dan Ismailescu

49

Odd-Distance Virtual Edges in Unit-Distance Graphs

by Marijn J.H. Heule

68

Mathematics in the Early XX c. and Her Daughter Emmy Noether: Review in 7 movements of “Emmy Noether – Mathematician Extraordinaire” by David E. Rowe

by Alexander Soifer

77

Regular Matchstick Graphs

by Kin Hern Tan , Li Xiong and Timothy Ho

82

Issue 3 (Jan 2022)

Some Polycubes Have No Edge Zipper Unfolding

by Erik D. Demaine, Martin L. Demaine,
David Eppstein, and Joseph O’Rourke

101

Two small 6-chromatic unit-distance graphs in R3

by Aubrey de Grey and Asger Haugstrup

110

Smallest Equiprojective Polyhedron

by Masud Hasan, Mohammad Monoar Hossain, Alejandro López-Ortiz, and Sabrina Nusrat

116

A 6-chromatic odd-distance graph in the plane

by Jaan Parts

124

“The detailed treatment of the plenary lectures” promised but not delivered: Review in 7 movements of “Meeting under the Integral Sign? The Oslo Congress of Mathematicians on the Eve of the Second World War”

by Christopher D. Hollings and Reinhard Siegmund-Schultze

138