- #1

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show w = -i is in the mandelbrot set

show that -1-i is not in the mandelbrot set

is w= -0.1226 + 07449i in the mandelbrot set, first show that z2 =0

don't know how to do any of them

i tried, -(squareroot-1) ^2 = --1, + squareroot -1

idk

- Thread starter vorcil
- Start date

- #1

- 393

- 0

show w = -i is in the mandelbrot set

show that -1-i is not in the mandelbrot set

is w= -0.1226 + 07449i in the mandelbrot set, first show that z2 =0

don't know how to do any of them

i tried, -(squareroot-1) ^2 = --1, + squareroot -1

idk

- #2

Mark44

Mentor

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I don't understand some of the things you have written:

"z2 = 0" Do you mean z

"-(squareroot-1) ^2 = --1, + squareroot -1"

I don't understand this at all, but you can write sqrt(-1) to mean the square root of -1 (which is i).

- #3

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from that formula, Z

- #4

HallsofIvy

Science Advisor

Homework Helper

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You used the word "it" four times without saying what "it" refers to! (And with two different meanings!) You don't say what "that circle thing" is. You don't say what sequence you are talking about and you don't say what "stay in the boundary" means. What you should be saying is that a certain sequence remainsFor a number to be in the mandelbrot set, it means that it stays within the boundary of that circle thing, and it repeats in a sequence, where a number not in the mandelbrot set dosen't stay in the boundary and dosen't repeat it's sequence

fromfrom that formula

Okay, this is the"formula" you referred to above and that gives the sequence you are referring to. But as given that implies that Z, Z_{1}= Z_{0}^2 + Z_{0}(each time 0 is incremented by 1

It looks to me like that becomes repeating.

- #5

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I know how to use the mandelbrot set now(I think),

The mandelbrot set was not in my math book, and i didn't take notes during my lecture because i thought it was in the my mathematics book

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