MHB Divide into 5 congruent pieces

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The discussion focuses on dividing a geometric figure into five congruent pieces, building on a previous example of dividing it into four. Participants confirm the feasibility of this division, with one user acknowledging the proposed solution. The conversation emphasizes the importance of geometric principles in achieving congruence. Visual representations are used to illustrate the division process. The thread concludes with a positive reinforcement of the solution provided.
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The following shows how a figure can be divided into 4 congruent pieces.
How can we divide the same figure into 5 congruent pieces?
\begin{tikzpicture}
\draw[ultra thick] (0,0) -- (4,0) -- (4,2) -- (3,3) -- (4,4) -- (0,4) -- (-1,3) -- (0,2) -- cycle;
\draw (0,2) -- (1,3) -- (2,2) -- (2,4);
\draw (4,2) -- (3,1) -- (2,2) -- (1,1) -- (2,0);
\end{tikzpicture}
 
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Indeed. That is the solution maxkor.
Well done!
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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