Square – Octagon Dissection
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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 Might Be Other Methods To Do That, Though. It Turns Out To Be A Great Design Project, Integrating School Geometry, Algebra, And A Bit Of Design Heuristics. Three Square Sizes Are Included, 60Mm, 80Mm, And 100Mm; The Thickness Is 3Mm. Have Fun! #####Reference Cundy, H. M., & Rollett, A. P. (1961). Mathematical Models (2Nd Ed.). London, Uk: Oxford University Press.
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