Spinning the Cube, Hyperboloid
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####Spinning A Cube What Does It Make When A Cube Spins Around One Of Its Long Diagonals? Using 3D Design, We Can Explore The Space Of A Spinning Cube In Multiple Ways. While The Whole Object Is Difficult To Print Without Support Or, At Least, A Raft, It Can Be Sliced Into Two Or Three Pieces For Easy Printing. The Result Is Surprisingly Beautiful. Among The Files Are: (1) A 50Mm Cube With Three Axes Of Rotation And (2) Two Versions Of A Spinning Cube: A 24-Iteration One And A 60-Iteration One, Both Of Which Are Based On A 50Mm Cube. Multiple Choices Are Included For 3D Printing. A Corresponding Stand Is Also Provided For Exhibit. ####Note The Design And Related Discussions Are Part Of An Article In Press For Publication In The Mathematics Teacher Journal By The National Council Of Teachers Of Mathematics.
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