The last digit of the numbers in the Fibonacci Sequence form a pattern that repeats after every 60th number: 0, 1, 1, 2, 3, 5, 8, 3, 1, 4, 5, 9, 4, 3, 7, 0, 7, 7, 4, 1, 5, 6, 1, 7, 8, 5, 3, 8, 1,...
https://www.goldennumber.net/fibonacci-60-repeating-pattern/
Phi, Φ, 1.618…, has two properties that make it unique among all numbers. If you square Phi, you get a number exactly 1 greater than itself: 2.618…, or Φ² = Φ + 1. If you divide Phi int...
Phi has a unique additive relationship. The powers of phi have unusual properties in that they are related not only exponentially, but are additive as well. We know that: Phi 2 = Phi + 1 Whic...
Phi (Φ) and pi (Π) and Fibonacci numbers can be related in several ways: The Pi-Phi Product and its derivation through limits The product of phi and pi, 1.618033988… X 3.141592654…...
Is the formula for Phi unique or should we say, “Hey, it’s just an expression!” It’s been noted by some who say they can “demystify phi” that phi is just one of an infinite series of ...
The Fibonacci Series is found in Pascal’s Triangle. Pascal’s Triangle, developed by the French Mathematician Blaise Pascal, is formed by starting with an apex of 1. Every number below in th...
The Fibonacci sequence has a pattern that repeats every 24 numbers. Numeric reduction is a technique used in analysis of numbers in which all the digits of a number are added together until only ...
The reciprocal of 89, a Fibonacci number, is based on the Fibonacci series. This is a little curiousity involving the number 89, one of the Fibonacci series numbers. 1/89 is a repeating decima...
The number 5 is intrinsically related to Phi and the Fibonacci series. Phi can be derived from several formulas based on the number 5. The most traditional, based on the geometric construction ...
What do we mean by “mean?” Math isn’t tough, but it can be mean. The term “mean” in mathematics simply reflects a specific relationship of one number as the middle point of two extrem...