Circle on Hinges, Models for Angles, Fractions, and Circle Properties

Circle on Hinges, Models for Angles, Fractions, and Circle Properties

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####Circle on Hinges, Models for Angles, Fractions, and Circle Properties ##### And, yes, you could **connect multiple circles** with a small pin for a long loop if you like. The circle is a very playful shape with its numerous mathematical properties. What if we slice a circle into wedges and connect them with hinges? It is certainly easier to clean up in a classroom setting. Well, I have designed several 3D printable models (e.g., https://www.thingiverse.com/thing:3390094 and https://www.thingiverse.com/thing:4362038). They each have limitations. In the present design, I used hinges, which allows the circular wedges to be printed in one piece and stay connected for various manipulations. One can just play with them and make shapes. Or, if so desired, one can explore angles, fractions, and even work out the area formula for a circle. The circle, with a diameter of 80mm, is dissected into 3, 4, 5, 6, 7, 8, 9, 10, 12, and 15 congruent wedges. The whole model can be printed at a resolution of 0.2mm or less for post-print separation. One of the hinges is loose; a pin can be inserted to latch the end wedges. ####Among the Files Hinged circles, dissected into a varying number of wedges. ####References 1. https://www.thingiverse.com/thing:4362038 2. https://www.thingiverse.com/thing:3390094

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Math Art