Qube, The Movie - Cleve Moler on Mathematics and Computing
 

[IMG]http://blogs.mathworks.com/cleve/files/Q12freeze.png[/IMG]


Contents[URL="https://www.labfans.com/bbs/#b1e6c340-d4d7-4051-9aa4-77dcfb5c7240"]The Movie[/URL][URL="https://www.labfans.com/bbs/#e7056c28-9958-4523-8281-52340d459601"]Scaling[/URL][URL="https://www.labfans.com/bbs/#bb29b058-8ab1-4527-829b-961984f854da"]Rubik's Rotations[/URL][URL="https://www.labfans.com/bbs/#1cc365ad-c05e-4901-a8c6-0224f017bad4"]Types[/URL]The MovieHere is a link to [URL="https://blogs.mathworks.com/cleve/files/Qube_TheMovie.mp4"]"Qube, The Movie"[/URL], 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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