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Author Topic: My other fractals zoom  (Read 611 times)
Description: Stranges fractals, perpendicular burning ship, and other.
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Fractal universe
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Posts: 50



« 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.

<a href="https://www.youtube.com/v/jca936_QKw4&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/jca936_QKw4&rel=1&fs=1&hd=1</a>

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
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Chillheimer
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chilli.chillheimer chillheimer
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« Reply #1 on: August 08, 2015, 12:33:34 AM »

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

kalle, if you read this, any chance this formula could be 'converted' to kalles fraktaler?
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Fractal universe
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« Reply #2 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

<a href="http://www.youtube.com/v/UZwiEHJS7Hg&rel=1&fs=1&hd=1" target="_blank">http://www.youtube.com/v/UZwiEHJS7Hg&rel=1&fs=1&hd=1</a>

from 3:13, there's my formula.
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Kalles Fraktaler
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kallesfraktaler
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« Reply #3 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?
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cKleinhuis
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« Reply #4 on: August 12, 2015, 12:01:14 PM »

it will come with uf6 smiley
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divide and conquer - iterate and rule - chaos is No random!
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« Reply #5 on: August 12, 2015, 04:46:30 PM »

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.
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« Reply #6 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 afro

<a href="https://www.youtube.com/v/SpMSYIXeGJg&rel=1&fs=1&hd=1" target="_blank">https://www.youtube.com/v/SpMSYIXeGJg&rel=1&fs=1&hd=1</a>
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