i has 4 cycles to it........but it repeats for every 5th i......................different ways to look at the same stuff..........

Complex Numbers: Introduction - Purplemath

www.purplemath.com/modules/complex.htm

1. Cached
2. Similar

Complex Numbers on MathHelp.com ... i^4 = 1. This pattern of powers, signs, 1's, and i's is a cycle: cycle. In other words, to calculate any high power of i, you can ...

You've visited this page 3 times. Last visit: 12/10/16

Permutation Cycle -- from Wolfram MathWorld

mathworld.wolfram.com › ... › Interactive Entries › Interactive Demonstrations

1. Cached
2. Similar

by EW Weisstein - ‎2002 - ‎Cited by 2 - ‎Related articles

Permutations cycles are called "orbits" by Comtet (1974, p. 256). For example, in the permutation group {4,2,1,3} , (143) is a 3-cycle and (2) is a 1-cycle. Here ...

Imaginary Numbers - Math is Fun

https://www.mathsisfun.com/numbers/imaginary-numbers.html

1. Cached
2. Similar

thought ... but imagine that there is such a number (call it i for imaginary) that could do this: i × i = −1 ... It "cycles" through 4 different values each time we multiply: ...

You visited this page on 8/23/17.