Solids/Surfaces of Constant Width, Triangular, Pentagonal, Tetrahedronal Balls
cults3d
Solids/Surfaces of Constant Width, Triangular, Pentagonal, Tetrahedronal Balls Three solids of constant width (30mm). These three solids are easy to design in a 3D design environment and provide rich moments of mathematical reasoning for students. Of course, there are many other solids that roll like a sphere. These can be used as entry-point design projects for K-12 students and STEM teachers to play with 3D design. To print curves surfaces, support is needed and a raft is perhaps also helpful. Also, it may be easier to print and remove support if you rotate the object 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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