Abstract
The surface of a 3-dimensional cube can be continuously flattened onto any of its faces, by moving creases to change the shapes of some faces successively, following Sabitov’s volume preserving theorem. Let \(C_n\) be an n-dimensional cube with \(n \ge 4\), and S be the set of its 2-dimensional faces, i.e., the 2-dimensional skeleton of the square faces in \(C_n\). We show that S can be continuously flattened onto any face F of S, such that the faces of S that are parallel to F, do not have any crease, that is, they are rigid during the motion.
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