Here are some illustrations by myself and others, dealing with the Fibonacci sequence and the Golden Number, Phi.

A few months ago, I noticed the exponents of Phi encode the Fibonacci sequence.

The sequence gets closer to the golden number the larger the numbers get. This will work with any two starting numbers, like say 91 and 432, for example. You’ll find the same ratio emerge if you keep adding them together. (91+432 = 523, then, 432+523=955, etc) Already we are at 1.8 to 1. (955/523) A handful more steps and we’ll have Phi to more than 99.999% accuracy.

𝄞 If you had a million phalanges, your hand would look like King Midas.

Jain108 made a post on how, if you start with 2 and 10, you arrive at the actual numbers found in the exponents of Phi. Remember exponents are simply the number multiplied by itself n number of times. Phi cubed, or Phi to the third power, is just Phi x Phi x Phi. (1.618 x 1.618 x 1.618 = 4.236) See that was easy, now stop complaining how you’re bad at math.

Phi to the negative power is the same as saying, one divided by the Phi cubed, or whatever.

Sam Kutler found the golden number in concentric circles.

Lucien Khan rediscovered the 60 digit repeat pattern.

Fibonacci sequence hidden in ordinary division problem: If you divide 1 by 999,999,999,999,999,999,999,999,999,999,999,999,999,999,999,999 (that’s 999 quattuordecillion), the Fibonacci sequence pops out.

Chad Adam’s Extended Fibonacci Series

Like I said, you can start a Fibonacci sequence with any two numbers. If you begin with the numbers 1-9, some interesting things happen.

Interesting pickup with the exponents of Phi within the first three decimal places (ie, some relationship to a 1000 divisor with only a very small offset). If you take a look on my website, I explicate a strange coincidence between three types of Pyramids that I call the PPP-Pyramid … a trifecta that exists within a tiny threshold using the following constants: 1) 4/Pi 2) 14/11 (I call this ‘Perfect’ … Height divided by square base ‘radius’ [half pyramid base length]) 3) Square Root of Phi … these three pyramid designs fall in a range which is only 1/37th of… Read more »

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