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Sorry if my question is poorly explained. Basically I want the name of the shape that always looks like a sphere in 3 dimensions when fed into 3d space standing up in the 4th dimension; just like how a cylinder always looks like a circle in 2d flatland if you feed it into the 2d plane standing up.
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$\begingroup$The ordinary cylinder is the Cartesian product of a $2$-ball and $1$-ball; you are looking for the Cartesian product of a $3$-ball and $1$-ball, which is a spherinder.
