cover a square with 8 squares, impossible (HOMC 2017 Q15)
Source:
August 3, 2019
Squarescombinatorial geometrygeometry
Problem Statement
Let denote a square of side-length , and let eight squares with side-length be given. Show that it is impossible to cover by those eight small squares with the condition: an arbitrary side of those (eight) squares is either coincided, parallel, or perpendicular to others of .