2011 BAMO 1 set of identical square tiles with side length 1
Source:
August 27, 2019
Tilingcombinatorial geometrycombinatorics
Problem Statement
A set of identical square tiles with side length is placed on a (very large) floor. Every tile after the first shares an entire edge with at least one tile that has already been placed.
- What is the largest possible perimeter for a figure made of tiles?
- What is the smallest possible perimeter for a figure made of tiles?
- What is the largest possible perimeter for a figure made of tiles?
- What is the smallest possible perimeter for a figure made of tiles?
Prove that your answers are correct.