Bending Spaghetti [SOLVED]: Maths Explained

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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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