Yes I have. Ron Knott’s site is a classic that has been around for over 20 years.

The Fibonacci Numbers and Nature
https://r-knott.surrey.ac.uk/Fibonacci/fibnat.html#section1

Thanks for sharing, very interesting video. I think maybe I wasn’t clear enough in my statement but I’m saying that I DO believe there is a god and/or a grand design. I don’t think that god looks anything like the god described in religious doctrine but nevertheless i believe we have a creator. Also against science as a belief system. Almost every modern and contemporary philosopher foretold the death of god and the championing of science as a belief system rather then just a method/process and we are seeing the fallout of gods death now.

Good thoughts, but how do they logically lead to the conclusion that “there is no man in the sky” or God. If you’re flabbergasted by your observation of diverse appearances of the golden ratio, consider some of the information I’ve compiled in this video: https://www.youtube.com/watch?v=AcGw21Wbcgk

The answer depends on your assumptions. Does the first pair breed immediately, or do they have to wait a month to mature? The traditional approach is to assume that you have 1 newborn pair of rabbits that will mature and produce offspring at the end of 1 month, and that each newborn pair will do the same. If you start with two rabbits on January 1, the growth then looks like this:

Date Pairs Rabbits
1/1 1 2
2/1 1 2
3/1 2 4
4/1 3 6
5/1 5 10
6/1 8 16
7/1 13 26
8/1 21 42
9/1 34 68
10/1 55 110
11/1 89 178
12/1 144 288
1/1 233 466

Here’s an article that shows it more visually:

https://www.mathscareers.org.uk/the-mathematics-of-rabbit-island/

I am a seventh grade student trying to answer “how many pairs of rabbits exist after one year?”. Thank you very much because I still don’t have the answer.

Just like ‘one man’s trash is another’s treasure,’ one person’s proof in the almighty is another person’s proof in the randomness of the cosmos (or something like that).

自圆其说 (Justified)