Combination
3-5-6-15 of Berend Jan van der Zwaag

3 |
Does it fit together with two copies of another pentomino in a 3x5 rectangle? |

5 |
Does it fit together with two copies of another pentomino in a 3x5 rectangle? |

6 |
Does it fit inside a 2x5 rectangle? |

15 |
Can two copies construct a point-symmetric decamino with a fully enclosed 1x1 hole? |

F | I | L | N | P | T | U | V | W | X | Y | Z | |

3 |
N | Y | Y | N | N | Y | N | Y | N | Y | Y | Y |

5 |
N | Y | Y | Y | Y | Y | N | Y | N | N | N | N |

6 |
N | Y | Y | Y | Y | N | Y | N | N | N | Y | N |

15 |
Y | N | Y | Y | N | Y | N | N | N | N | Y | Y |

Solution 3 |
Solution 5 |

Solution 6 |
Solution 15 |