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The question is: What is the 3-dimensional figure formed when a rectangle is rotated 360 degrees on its digonal? [When you rotate a square, you get a spindle, but what is it called when you rotate a rectangle?] Thank you.

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Alex Dixie
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  • https://math.stackexchange.com/questions/115743/question-about-a-rotating-cube can someone adapt the code provided for the cube to a rectangle and show us the picture if you have mathematica ? https://mathematica.stackexchange.com/questions/2565/drawing-rotated-views-while-ignoring-the-bounding-box – zwim May 22 '18 at 20:26

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I don't think it has a specific name, but it is similar to the MSE question 115743 "Question about a rotating cube". It is a symmetrical solid of revolution. The top and bottom are frustrum of cones as in a spindle and the middle is a hyperboloid of one sheet. The three sections are each ruled surfaces.

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