large golden square land lot of 100x100 subdivided into 100 square lots
Source: Mathley 2014.2 p1
August 20, 2020
combinatoricscombinatorial geometry
Problem Statement
A large golden square land lot of dimension m was subdivided into square lots, each measured m. A king of landfill had his men dump wastes onto some of the lots. There was a practice that if a particular lot was not dumped and twoof its adjacents had waste materials, then the lot would be filled with wastes the next day by the people. One day if all the lotswere filled with wastes, the king would claim his ownership ofthe whole land lot. At least how many lots should have the kind had his men dump wastes onto?Vu Ha Van, Mathematics Faculty, Yale University, USA.