Solids/Surfaces of Constant Width, Triangular, Pentagonal, Tetrahedronal Balls
cults3d
Solids/Surfaces of Constant Width, Triangular, Pentagonal, Tetrahedral Balls Three solids with constant width (30mm) are simple to design in a 3D design environment and offer many opportunities for mathematical reasoning for students. Of course, there are numerous other solids that roll like a sphere. These can be used as entry-point design projects for K-12 students and STEM teachers to explore 3D design. To print curve surfaces, support is necessary and a raft may also be helpful. Additionally, it might be easier to print and remove support if you rotate the object slightly, 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) Gardner, Martin. (2001). The colossal book of mathematics: Classic puzzles, paradoxes, and problems. New York, NY: W.W.Norton & Co.
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