How does the golden ratio/fibonacci sequence/golden spiral work/connect?

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Are these the same thing? I understand that the sequence adds the previous number to get the next and it approaches Phi, which is the golden ratio (at least I think I have that right.) What exactly IS the golden ratio, in simple terms? How does this connect to the picture of the rectangles with the spiral? It’s easy for me to just google and learn these sort of things but I feel completely lost looking it up lol.

In: Mathematics

3 Answers

Anonymous 0 Comments

Fibonacci sequence: sequence of numbers where each number is the sum of the two previous numbers. 1, 1 (0+1), 2(1+1), 3 (2+1), 5 (3+2), 8 (5+3),…

Golden ratio: the number which approximates the ratio between two consecutive Fibonacci numbers, especially if they’re large Fibonacci numbers.

Golden spiral: a spiral which gets wider by a factor equal to the golden ratio for every quarter turn it makes.

Anonymous 0 Comments

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Anonymous 0 Comments

It’s also used in classic building design and even in furniture design, due to its “pleasing to the eye” features. There are pictorial illustrations you can look up. Alas, I am too ignorant to figure out how to post links.