The following pictures show n squares with side 1 packed inside the smallest known tan (of leg length s ).

1. | 2. | 3. | ||

s = 2 Trivial. | s = 2√2 = 2.828+ Trivial. | s = 3 Trivial. |

4. | 5. | 6. | ||

s = 5 / √2 = 3.535 Found by Erich Friedman in March 2005. | s = 4 Found by Erich Friedman in March 2005. | s = 4 Trivial. |

7. | 8. | 9. | ||

s = 3 + √2 = 4.414+ Found by Erich Friedman in March 2005. | s = 2 + 2√2 = 4.828+ Found by Erich Friedman in March 2005. | s = 7 / √2 = 4.949+ Found by Erich Friedman in March 2005. |

10. | 11. | 12. | ||

s = 5 Trivial. | s = 4 + √2 = 5.414+ Found by Erich Friedman in March 2005. | s = 4√2 = 5.656+ Found by Erich Friedman in March 2005. |

13. | 14. | 15. | ||

s = 3 + 2√2 = 5.828+ Found by Erich Friedman in March 2005. | s = 6 Found by Erich Friedman in March 2005. | s = 6 Trivial. |

16. | 17. | 18. | ||

s = 9 / √2 = 6.363+ Found by Erich Friedman in March 2005. | s = 5 + √2 = 6.414+ Found by Erich Friedman in March 2005. | s = 4 + 2√2 = 6.828+ Found by Erich Friedman in March 2005. |

19. | 20. | 21. | ||

s = 2 + 7 / √2 = 6.949+ Found by David W. Cantrell in May 2005. | s = 7 Found by Erich Friedman in March 2005. | s = 7 Trivial. |

22. | 23. | 24. | ||

s = 1 + 9 / √2 = 7.363+ Found by Erich Friedman in March 2005. | s = 6 + √2 = 7.414+ Found by Erich Friedman in March 2005. | s = 7 + 1 / √2 = 7.707+ Found by David W. Cantrell in May 2005. |