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旧 2022-05-04, 21:23   #1
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默认 Qube, The Movie - Cleve Moler on Mathematics and Computing




ContentsThe MovieScalingRubik's RotationsTypesThe MovieHere is a link to "Qube, The Movie", a video made with Qube, my digital Rubik's cube simulator. Mathematically, all of the action is driven by the 3-by-3 matrices on display.

ScalingQube uses a 3x3x3 array of identical cubelets . The coordinates [x,y,z] of the centers of the cubelets are all of the possible combinations of -2, 0 and +2. The vertices of an individual cubelet form a 8-by-3 matrix. The width of a cubelet is controlled by multiplying its vertices by a 3-by-3 diagonal scaling matrix.

Our video begins with the width near



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