Dominos on a Chess Board

Given a standard 8×8 chessboard, but 2 diagonal corners are removed.

We seek to cover the squares with dominos.

Each domino covers exactly two squares on the chess board.

You are not allowed to cover the same square twice.

Can you cover the remaining 62 squares with 31 dominos?

Can dominos cover a chess board with 2 missing squares?

Dominos cover a chess board missing 2 squares?



No, each domino must cover a white and a black square.

The number of white and black squares are not equal after removing 2 diagonal corners.


Reduce to 2×2, 3×3, or 4×4 board.

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Circles in a Rectangle

Geometry Puzzle:

You have a 6×7 rectangle with a 6 diameter circle cut from one side.

What is the largest circle that you can cut from the remaining material?

Find the largest circles that fit in the rectangle.

Find the largest circles that fit in the rectangle.



(r + 3)² = (4 – r)² + (3 – r)²

0 = r² – 20 r + 16

r = 10 – sqrt(100 – 16) ~ 0.834849

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