Square – Octagon Dissection

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Square –Octagon Dissection: A Beautiful Challenge! Given an octagon, we can dissect it and reassemble the parts into a square. It's a simple yet complex problem! Using the illustrated method, there is only one way to do it. I used a bit of algebra to find the dimensions of the squares, discovering that InnerSquareDim = OuterSquareDim / (2 * sqrt(2) - 2). This process is deeply satisfying as we explore how things are related through formulas. There might be other methods to achieve this, but the one described here is a great design project that integrates school geometry, algebra, and design heuristics. Three square sizes are included: 60mm, 80mm, and 100mm, with a thickness of 3mm. This problem is a fun challenge for anyone who enjoys geometry and design! Reference: Cundy, H. M., & Rollett, A. P. (1961). Mathematical models (2nd ed.). London, UK: Oxford University Press.