Can you tile a courtyard with L-shaped pieces and a statue?

Puzzle 7: Tile that Courtyard, Please · 28:02 · Video: MIT OpenCourseWare · Watch at the source

In short: This video explores a classic tiling puzzle from MIT's Programming for the Puzzled course. It challenges you to figure out the logic of covering a square courtyard using L-shaped tiles while navigating a specific spatial constraint.

The problem begins with a simple premise: tiling a square courtyard with standard square tiles. It then introduces a geometric complication by replacing those squares with L-shaped tiles. The ultimate challenge involves a courtyard where a statue occupies exactly one tile location, leaving that specific spot empty.

By analyzing these constraints, the video explores the underlying logic and mathematical principles of tiling puzzles. It is a foundational exercise in spatial reasoning and programming logic, designed to help students identify the rules that govern how shapes can—or cannot—fit together in a restricted space.

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