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Fibonacci sequence and golden ratio
1. Fibonacci sequence and golden ratio
2. Fibonacci sequence and golden ratio
The Fibonacci sequence (1202) in mathematics has origins in the counting of rabbits as they multiply.
The Fibonacci sequence is related to the golden ratio, golden rectangles, etc.
The sequence starts with two
1's. Each following term is the sum of the previous two terms.
1 1 2 3 5 8 13 21 34 55 ...
The Fibonacci sequence is related to the golden ratio, golden rectangles, etc.
The sequence starts with two
1's. Each following term is the sum of the previous two terms.
1 1 2 3 5 8 13 21 34 55 ...
3. Golden rectangle animation
What is happening here?
4. Nautilus shell
The perfect rectangle is related to the nautilus shell.
5. Nautilus machines
The nautilus shell shape was used to get variable resistance on workout machines. One of the first companies to do was Nautilus, at
https://www.nautilus.com/.
6. Golden ratio
7. Sunflowers
Many plants, such as sunflowers, grow in a pattern that matches the Fibonacci sequence.
8. Fibonacci in nature
The "
Fibonacci sequence" and associated "
Golden Ratio" appears often in nature, must be precisely tuned, and has many implication for a created universe.
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Details are left as a future topic.
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9. Pentagram
The pentagram is filled with golden ratios in an endless descent.
10. End of page