1. | 2. | 3. | ||
s = cos(27°) / cos(18°) s = .936+ Trivial. | s = 4√(1-2/√5)+√5-2 s = 1.535+ Found by Erich Friedman in March 2012. | s = 1.695+ Found by David W. Cantrell in July 2012. |
4. | 5. | 6. | ||
s = 1.861+ Found by Maurizio Morandi in July 2012. | s = 1 + cos(18°) s = 1.951+ Found by Erich Friedman in March 2012. | s = 6√(1-2/√5)+√5-2 s = 2.185+ Found by Erich Friedman in March 2012. |
7. | 8. | 9. | ||
s = 6√(1-2/√5)+2√5-4 s = 2.421+ Found by Erich Friedman in July 2012. | s = 2.565+ David W. Cantrell in July 2012. | s = 2.730+ Found by Haym Hirsh in October 2022. |
10. | 11. | 12. | ||
s = 2.809+ Found by David W. Cantrell in July 2012. | s = 2.921+ Found by David W. Cantrell in July 2012. | s = 2.973+ Found by David W. Cantrell in July 2012. |
13. | 14. | 15. | ||
s = 2√(1-2/√5)+2√5-2 s = 3.121+ Found by David W. Cantrell in July 2012. | s = 3.187+ Found by David W. Cantrell in July 2012. | s = (√(125-38√5)+8-2√5)/3 s = 3.284+ Found by David W. Cantrell in July 2012. |