Is it possible to place the twelve pentominoes around a circle in such a way that if two of the pentominoes find themselves next to each other, it is because one of the two can be obtained from the other by cutting out one of its component squares (thus obtaining a tetramino) and glueing it elsewhere?



Generating all pentominoes by cutting and pasting
Yes. Ugly representation below (\* is the cell to be moved to . to obtain the next pentamino)



```
                                                                     .
####* -> ###* -> ### -> ### -> ###  -> *##  -> ##  -> ##  -> ##. -> ### ->  *   -> ####. -> #####
.        #.      #*     # .    * #.      ##     ##     #*     #      #     ###.     *
                 .      *                 .     .*     #.     #*     *      #

```

