GOLDEN RATIO WORKSHEET GOLDEN RATIO WORKSHEET

This worksheet can be used to record your answers for the various exercises in this lesson. This lesson is meant as an introduction to this topic and not at all exhaustive. You will, however, come away with a sense of some of the significance the Golden Ratio has in our world and a good basic understanding of the subject. We hope it will also develop a thirst to find out more. To this end, the links found throughout these pages should provide you with a good starting place.

FIBONACCI SEQUENCE

1. List the first 20 numbers in the Fibonacci Sequence
___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___ ___
2. Calculate the ratios of the above number found by F[n-2] / F [n-1] where the nth term of the sequence is denoted by F[n] .

 1. ______ 8. ______ 14. ______ 2. ______ 9. ______ 15. ______ 3. ______ 10. ______ 16. ______ 4. ______ 11. ______ 17. ______ 5. ______ 12. ______ 18. ______ 6. ______ 13. ______ 19. ______ 7. ______
3. Calculate the ratios of the above number found by F[n-1] / F [n-2] .

 1. ______ 8. ______ 14. ______ 2. ______ 9. ______ 15. ______ 3. ______ 10. ______ 16. ______ 4. ______ 11. ______ 17. ______ 5. ______ 12. ______ 18. ______ 6. ______ 13. ______ 19. ______ 7. ______

THE GOLDEN RATIO

 rectangle length width ratio of length to width my favorite ______ ______ ______________ 3" x 5" index card ______ ______ ______________ 8.5" X 11" paper ______ ______ ______________ 2" X 3" school photo ______ ______ ______________ finger rectangle ______ ______ ______________ another rectangle ______ ______ ______________ and another ______ ______ ______________ and another ______ ______ ______________ just one more? ______ ______ ______________

AVERAGE (of above table) _________

OTHER CALCULATIONS

 OBJECT length width ratio of length to width Parthenon ______ ______ ______________ Mona Lisa's head ______ ______ ______________ PENTAGON length-side length-diagonal ratio of side to diagonal ______ ______ ______________ CROSS upper lower ratio ______ ______ ______________ TRIANGLE length of leg length of base ratio ______ ______ ______________ area of large area of small ratio ______ ______ ______________

AVERAGE (of above table) _________

Let's move on.