12 Pentominoes

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Theorem

There exist $12$ distinct pentominoes, up to reflection and rotation in the plane:

12Pentominoes.png

Proof

Note, that all of them except one can be Definition:folded into cube without one side.

Let's name the candidates by english keys: d(b,p)&n"u)t|f,<_>+? Work to be done yet to establish method of creation...

Sources