4 papers · 1 filter
In How Many Ways can a Rectangle be Rectangled?
Pablo Blanco, Robert Dougherty-Bliss, Natalya Ter-Saakov +1
There are ways to tile a rectangle with rectangular tiles (of any length, of course they all must have width ), but in how many ways can you tile a $100 \…
Cutting 4 by grids into two congruent pieces
Robert Dougherty-Bliss, Natalya Ter-Saakov, Doron Zeilberger
In the March 2025 issue of Pour la Science, Jean-Paul Delahaye described a wonderful solution to the following problem: How many ways can you divide a 3 by 2n rectangle into two co…
Unimodality for Radon partitions of random vectors
Swee Hong Chan, Gil Kalai, Bhargav Narayanan +2
Consider the (almost surely) unique Radon partition of a set of random Gaussian vectors in ; choose one of the two parts of this partition uniformly at random,…
The (Symbolic and Numeric) Computational Challenges of Counting 0-1 Balanced Matrices
Robert Dougherty-Bliss, Christoph Koutschan, Natalya Ter-Saakov +1
A chessboard has the property that every row and every column has as many white squares as black squares. In this mostly methodological note, we address the problem of counting suc…