Square – Octagon Dissection

cults3d

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. To find the dimensions of the squares, I used algebra in a bit. In short, InnerSquareDim = (1/2) × √(2 × √2 - 2) × OuterSquareDim. Figuring out how things are related in such a formula is a satisfying process! There might be other methods to do that as well. It turns out to be a fantastic design project, combining school geometry, algebra, and some design heuristics. Three square sizes are included: 60mm, 80mm, and 100mm; the thickness is 3mm. Have fun exploring! Reference Cundy, H. M., & Rollett, A. P. (1961). Mathematical models (2nd ed.). London, UK: Oxford University Press.