The following pictures show n unit squares packed inside the smallest known L (of long side s).

1.-3. | 4.-5. | 6. | ||

s = 2 Trivial. | s = 3 Trivial. | s = (5√2 + 4) / 3 = 3.690+ Found by David W. Cantrell in June 2005. |

7. | 8.-12. | 13. | ||

s = √2 + 5/2 = 3.914+ Found by Erich Friedman in June 2005. | s = 4 Trivial. | s = 2 + 2√2 = 4.828+ Found by Maurizio Morandi in October 2008. |

14. | 15.-16. | 17. | ||

s = 4.988+ Found by David W. Cantrell in June 2005. | s = 5 Trivial. | s = 4/3 + 3√2 = 5.575+ Found by Maurizio Morandi in October 2008. |

18. | 19. | 20. | ||

s = (2√2 + 14) / 3 = 5.609+ Found by Erich Friedman in June 2005. | s = 5.792+ Found by David W. Cantrell in July 2012. | s = 5.937+ Found by David W. Cantrell in July 2012. |

21.-27. | 28. | 29. | ||

s = 6 Trivial. | s = 6 + √2/2 = 6.707+ Found by Maurizio Morandi in September 2015. | s = 6.840+ Found by Maurizio Morandi in September 2015. |

30.-33. | 34. | 35. | ||

s = 7 Trivial. | s = 7.513+ Found by Joe DeVincentis in September 2015. | s = 5.560+ Found by Joe DeVincentis in September 2015. |

36. |

s = 7.730+ Found by Joe DeVincentis in September 2015. |