First Joiner's Problem

Problem

Cut each of a $6 \times 6$ chessboard and an $8 \times 8$ chessboard into exactly $2$ pieces.

Then assemble those $4$ pieces into a $10 \times 10$ chessboard.

Solution

$\blacksquare$

Historical Note

The First Joiner's Problem appears in the $1997$ work Mathematics and Chess by Miodrag S. Petković, where he credits it to E.I. Ignjat'ev, who published it in $1979$ in V Carstve Smekalki.

However, it appeared earlier than either in Boris A. Kordemsky's $1956$ collection Математическая смекалка, later translated into English and published in $1972$ as The Moscow Puzzles: 359 Mathematical Recreations, edited by Martin Gardner.

Sources

• 1972: Boris A. Kordemsky: The Moscow Puzzles: 359 Mathematical Recreations: $\text {IV}$: Measure Seven Times Before you Cut: $162$. A Gift for Grandmother
• 1997: Miodrag Petković: Mathematics and Chess ... (previous) ... (next): $\text {IV}$ Geometric Puzzles: $4.2$ The First Joiner's Problem
• 2008: David Joyner: Adventures in Group Theory (2nd ed.) ... (previous) ... (next): Chapter $1$: Elementary, my dear Watson: $\S 1.2$: Elements, my dear Watson: Ponderable $1.2.2$