MakerWorld
Mathematics
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Math Crown
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I designed a mathematical crown generated by Enneper Surface Functions, which presents a unique and elegant beauty of mathematics: order and randomness. Seen from the final shape, it looks very much like the golden headdress of the Yi people in Sichuan, China, an ancient and mysterious ethnic group. This may be a coincidence, or rather a discovery. Introduction to the Generation Mechanism1.Firstly, I take the Enneper Surface Function to generate the crown basis surface (a minimal surface proposed by mathematician Alfred Enneper). Of course, it has no details at this point. 2.On this basis, I consider using other periodic minimal surfaces as unit cells to map and fill the basis surface, in order to form a more decorative and artistic detail texture. Considering the feasibility of FDM printing, I finally chose a variant of Scherk's Surface as the cell and set appropriate parameters. 3.Finally, two more Enneper Surfaces were used to form the headband section and the final model was ge
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