Bending Spaghetti [SOLVED]: Maths Explained

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Bending spaghetti consistently results in it breaking into three or more pieces rather than two, a phenomenon that has intrigued many. The underlying mathematics of this behavior involves concepts from physics and material science, particularly related to stress distribution and fracture mechanics. Research indicates that when a long, thin object like spaghetti is bent, it experiences uneven stress, leading to multiple fractures. Various studies and articles provide insights into this phenomenon, explaining the mechanics behind the breaking process. Understanding the mathematics of bending spaghetti can reveal broader principles applicable to other materials and structures.
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[SOLVED] Bending spaghetti

I ran into a very interesting phenomen. When bending spaghetti, it always breaks into three or more pieces. By bending it, you can't break a piece of spaghetti into two pieces (note: bending from both ends or one end stationary). I heard that there is a mathematical solution for this problem. I was however unable to find it, and was wondering if someone here could help me out.
 
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Thanks Edgardo!
 
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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