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Square – Octagon Dissection
by lgbu
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#####Square –Octagon Dissection: A Beautiful Problem!
Given a square, how do we dissect it and reassemble the parts into an octagon? It is a simple and complex problem! Using the illustrated method, there is only one way to do it. I had to use a bit of algebra to find the dimensions of the squares. In short, \text{InnerSquareDim}= \frac{1}{2}\sqrt{2 \sqrt{2} - 2} \cdot \text{OuterSquareDim} . It is a satisfying process to figure out how things are related in such an formula!
There
Given a square, how do we dissect it and reassemble the parts into an octagon? It is a simple and complex problem! Using the illustrated method, there is only one way to do it. I had to use a bit of algebra to find the dimensions of the squares. In short, \text{InnerSquareDim}= \frac{1}{2}\sqrt{2 \sqrt{2} - 2} \cdot \text{OuterSquareDim} . It is a satisfying process to figure out how things are related in such an formula!
There
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