The following pictures show n circles with the largest possible sum of radii packed inside an ellipse with perimeter 2π.

1. | 2. | 3. | ||

Σ r = 1 Circular. | Σ r = 1.185+ Found by David W. Cantrell in September 2011. | Σ r = 1.407+ Found by David W. Cantrell in September 2011. |

4. | 5. | 6. | ||

Σ r = 1.684+ Found by David W. Cantrell in September 2011. | Σ r = 1.887+ Found by David W. Cantrell in September 2011. | Σ r = 2.110+ Circular. Found by Veit Elser in November 2009. |

7. | 8. | 9. | ||

Σ r = 7 / 3 = 2.333+ Circular. Found by Veit Elser in November 2009. | Σ r = 2.512+ Circular. Found by Veit Elser in November 2009. | Σ r = 2.660+ Circular. Found by Veit Elser in November 2009. |

10. | 11. | 12. | ||

Σ r = 2.809+ Found by David W. Cantrell in September 2011. | Σ r = 2.950+ Found by David W. Cantrell in September 2011. | Σ r = 3.103+ Circular. Found by Veit Elser in November 2009. |

13. | 14. | 15. | ||

Σ r = 3.231+ Found by David W. Cantrell in September 2011. | Σ r = 3.370+ Found by David W. Cantrell in September 2011. | Σ r = 3.485+ Found by David W. Cantrell in September 2011. |

16. | 17. | 18. | ||

Σ r = 3.231+ Circular. Found by David W. Cantrell in April 2011. | Σ r = 3.732+ Found by David W. Cantrell in September 2011. | Σ r = 3.851+ Found by David W. Cantrell in September 2011. |

19. | 20. | 21. | ||

Σ r = 3.981+ Circular. Found by David W. Cantrell in May 2011. | Σ r = 4.077+ Found by David W. Cantrell in September 2011. | Σ r = 4.182+ Found by David W. Cantrell in September 2011. |

22. | 23. | 24. | ||

Σ r = 4.287+ Circular. Found by David W. Cantrell in June 2011. | Σ r = 4.378+ Found by David W. Cantrell in September 2011. | Σ r = 4.478+ Found by David W. Cantrell in September 2011. |

25. | 26. | 27. | ||

Σ r = 4.570+ Found by David W. Cantrell in September 2011. | Σ r = 4.667+ Found by David W. Cantrell in September 2011. | Σ r = 4.762+ Circular. Found by David W. Cantrell in June 2011. |

28. | 29. | 30. | ||

Σ r = 4.849+ Found by David W. Cantrell in September 2011. | Σ r = 4.938+ Found by David W. Cantrell in September 2011. | Σ r = 5.030+ Found by David W. Cantrell in September 2011. |

31. | 32. | |

Σ r = 5.105+ Found by David W. Cantrell in September 2011. | Σ r = 5.192+ Found by David W. Cantrell in September 2011. |