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Is it possible to obtain a tetromino and a pentomino of different colour on each face of a standard 3x3x3 Rubik's cube?

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    $\begingroup$ Too lazy for a full answer, but I did F, X and V pentominoes before. Z and W are impossible because you can't alternate corners. The T tetromino is also possible. $\endgroup$
    – Florian F
    Aug 31 '21 at 6:06
  • $\begingroup$ Oops... a tetromino AND a pentomino? That is different. I did a single pentomino or single tetromino on a face. $\endgroup$
    – Florian F
    Aug 31 '21 at 7:00
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The classic cube pattern that fits this description is:

The cube-in-a-cube pattern, where each face has a V pentomino and square tetromino:
U L2 D R B' R B' R B' D' L2 U R2 F2 U2
Link

A quicker pattern to achieve is this:

P pentomino, L tetromino on all six faces:
R L U2 F2 R L
Link

You could also put the U pentomino, T tetromino on a face, but I don't think it is possible to do that on all six faces at the same time.

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  • $\begingroup$ Nice work! You may enjoy my next puzzle that I posted. $\endgroup$ Aug 31 '21 at 7:05

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