tilings – Feature Column

Does Mathematics Progress?

On: February 1, 2026

In: 2026, Discrete Math and Combinatorics, History of mathematics, Joseph Malkevitch

Tagged: artificial intelligence, P=NP, tilings

Every time some mathematical question is answered, it generates new mathematical issues to think about.... Does Mathematics Progress? Joe Malkevitch York College (CUNY) Introduction With the beginning of a New Year—2026 in one system of counting, though not all societies use the same calendar—many people take the opportunity to examineRead More →

Hat Tricks

By: Ursula Whitcher

On: June 1, 2023

In: 2023, Bill Casselman, Discrete Math and Combinatorics

Tagged: tilings

With: 0 Comments

Up until recently, all known aperiodic tilings used a minimum of two shapes, and it has long been a major problem to find a tiling that uses just one. Quite recently this problem has been solved, although only with a qualification… Hat Tricks Bill Casselman University of British Columbia “ButRead More →

In Praise of Collaboration

By: Ursula Whitcher

On: March 31, 2021

In: 2021, History of mathematics, Joseph Malkevitch

Tagged: Branko Grünbaum, Geoffrey Colin Shephard, polytopes and polyhedra, tilings

With: 0 Comments

In Praise of Collaboration Take a look at an extraordinary collaboration in discrete geometry and related geometrical mathematics, the collaboration of Branko Grünbaum and Geoffrey Colin Shephard. Joe Malkevitch York College (CUNY) Introduction Point and line do many activities together—their collaborations create a rich texture for many mathematicians and geometers,Read More →