About Tier 3 - Dimension
Requires several pieces of reasoning to be organised into a solution.
Difficulty describes the challenge, not the solver. It is a Society guide rather than a formal academic level.
The tier is a Society guide to the amount of reasoning, technical work and insight a problem is expected to require. Your experience may vary depending on the topic and your background.
The Missing Corners
Logic & Proof / Invariants - 5 min
Start with a standard chequered board and remove two diagonally opposite corner squares. Each domino covers exactly two squares that share an edge. Can the remaining board be tiled completely with dominoes, without overlaps or gaps?
Assumptions
Dominoes may be rotated. They cannot be cut, overlap or leave gaps.
More Options for The Missing Corners
Collection question · Revision 1 · ID: chessboard-corners