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Fractal Art => Movies Showcase (Rate My Movie) => Topic started by: Fractal universe on August 07, 2015, 11:57:32 PM

Title: My other fractals zoom
Post by: Fractal universe on August 07, 2015, 11:57:32 PM

I begin this topic with the glitchy Mandelbrot set.
It's like a classic Mset with a stranges fractals instead of the black zone.

https://www.youtube.com/watch?v=jca936_QKw4

Formula (Ultra Fractal) :

Code:

init:
 z=pixel
 c=pixel
loop:
 z=z^2+pixel
 z=z+0.0000000001*(z^(1/z)+c)
 c=c+(0.1*c)+0.1*z
[b]bailout:[/b]
  |z|<= 100

Title: Re: My other fractals zoom
Post by: Chillheimer on August 08, 2015, 12:33:34 AM

wow - lovely, very familiar and yet so different!
I wish "critical point" would continue longer.. :)

kalle, if you read this, any chance this formula could be 'converted' to kalles fraktaler?

Title: Re: My other fractals zoom
Post by: Fractal universe on August 08, 2015, 01:13:30 AM

Here is a formula that I'd like to see on Kalles Fraktaler, and a Mandelbrot zoom into the point 0.25+0i

Code:

init:
 z=pixel
loop:
 z=z^(1/z)+pixel
bailout:
  |z|<= 1

https://youtu.be/UZwiEHJS7Hg

from 3:13, there's my formula.

Title: Re: My other fractals zoom
Post by: Kalles Fraktaler on August 12, 2015, 10:47:53 AM

I am sorry but I will not be able to implement z=z^(1/z)+pixel in KF for a long time.
First, I have not even implemented division with full precision.
Second, fractional powers on complex numbers involves sine and cosine, which in high precision is calculated with Taylor series. Iterations in iterations, it will get incredible slow.

Doesn't UF have arbitrary formula and perturbation these days?

Title: Re: My other fractals zoom
Post by: cKleinhuis on August 12, 2015, 12:01:14 PM

it will come with uf6 :)

Title: Re: My other fractals zoom
Post by: Fractal universe on August 12, 2015, 04:46:30 PM

Quote from: Kalles Fraktaler on August 12, 2015, 10:47:53 AM

I am sorry but I will not be able to implement z=z^(1/z)+pixel in KF for a long time.

Never mind, it was for calculation speed, because it's very slow from 10^15 with high precision.

Title: Re: My other fractals zoom
Post by: Fractal universe on February 13, 2016, 05:56:14 PM

I have created a new zoom compilation into the perpendicular burning ship.
There are a news hidden treasures O0

https://www.youtube.com/watch?v=SpMSYIXeGJg