Solids/Surfaces of Constant Width, Triangular, Pentagonal, Tetrahedronal Balls
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Solids/Surfaces of Constant Width, Triangular, Pentagonal, Tetrahedronal Balls Three solids of constant width (30mm) easily designed in a 3D design environment provide rich mathematical reasoning for students. Many other rolling solids like a sphere exist and can be used as entry-point projects for K-12 students and STEM teachers to play with 3D design. To print curved surfaces, support is necessary and a raft may also help. It might be easier to print and remove support if the object is rotated a bit - say 30 or 45 degrees. Keep them rolling and have fun! References: 1) https://en.wikipedia.org/wiki/Curve_of_constant_width 2) http://mathworld.wolfram.com/ReuleauxTetrahedron.html 3) http://community.wolfram.com/groups/-/m/t/790393 4) Gardener, Martin. (2001). The colossal book of mathematics: Classic puzzles, paradoxes, and problems. New York, NY: W. W. Norton & Co.
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