3 papers
math.HO2012
A contribution for a mathematical classification of square tiles
Jorge Rezende
In this article we study some geometric properties of a non-trivial square tile (a non-trivial square tile is a non-constant function on a square). Consider infinitely many copies…
math.HO2011
Periodical plane puzzles with numbers
Jorge Rezende
Consider a periodical (in two independent directions) tiling of the plane with polygons (faces). In this article we shall only give examples using squares, regular hexagons, equila…
math.CA2010
The Sturm-Liouville problem and the Polar Representation Theorem
Jorge Rezende
The polar representation theorem for the n-dimensional time-dependent linear Hamiltonian system with continuous coefficients, states that, given two isotropic solutions (Q1, P1) an…