Mandelbrot To MandelBar To Burning Ship Music 'The Gnome' with Pink Floyd

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Jens-Peter Christensen

Jens-Peter Christensen

Күн бұрын

In the first part of this video, morphing is done between the Mandelbrot set and the Mandel-Bar set. In the last part of the video, morphing is done between the Mandel-Bar and The burning ship.
I use the formula: Z ← Zⁿ (Conjugate(Z))ᵖ (MakePos(Z))ᵐ + C
Z is a complex number and C is the screen coordinate. MakePos(Z) is a complex function that makes the real and imaginary components positive. Conjugate(Z) is a function that change sign of the imaginary component for Z. n, p and m is real numbers.
The following morph transitions are made:
(n, p, m) = (2, 0, 0) → (0, 2, 0) → (3, 0, 0) → (0, 3, 0) → (4, 0, 0) → (0, 4, 0) → (5, 0, 0) →
(0, 6, 0) → (0, 0, 7) → (0, 5, 0) → (0, 0, 5) → (0, 4, 0) → (0, 0, 3) → (0, 2, 0) → (0, 0, 2)

Пікірлер: 31
@RGJubilee
@RGJubilee 2 жыл бұрын
I like it !!. Thank you for explaining what parts of the Mandelbrot set is the video coming from. Is the Mandel-bar set the number line that goes ideally from E-W in the mandelbrot set? (from the cardioid to the tail) And the burning ship is in the spot where the end of the cardioid meats the circle?🤔🥰
@FractalCreator
@FractalCreator 2 жыл бұрын
Thanks for the comment - I don't think so. The video is composed of three different fractals: a) Power Mandelbrot: Z ← Zⁿ + C where n≥2 (If n=2 we have Mandelbrot set: Z ← Z² + C ). b) Power Mandel-Bar: Z ← ( Conjugate(Z) )ᵖ + C where p≥2. (If p=2 we have the Mandel-Bar : Z ← ( Conjugate(Z) )² + C ). c) Power Burning Ship: Z ← ( MakePos(Z) )ᵐ + C where m≥2. (If m=2 we have the Burning ship). Conjugate(Z) is a function to shifts the sign for the imaginary part of Z. MakePos(Z) is a feature that makes both the real part and the imaginary part positive. By making the formula below, it is possible to make gradual transitions between the three different fractals. Z ← Zⁿ∙( Conjugate(Z) )ᵖ∙ ( MakePos(Z) )ᵐ + C. For example, for: n=2, p=0, and m=0, we have: Z ← Z² + C. While for n=0, p=2 and m=0 we get: Z ← ( Conjugate(Z) )² + C. (Remember that Z°=1 applies to all Z≠0). That is, if we gradually change (n, p, m) from (2, 0, 0) to (0, 2, 0), the Mandelbrot set will gradually change to the Mandel-Bar set - this transition is seen at the beginning of the video. Sorry for the long reply and my bad English.
@RGJubilee
@RGJubilee 2 жыл бұрын
@@FractalCreator WOW!!! I did not know how complex it is, thanks.🤔❤
@thisisachannel8472
@thisisachannel8472 Жыл бұрын
0:22 he chonker 0:48 MEGACHONKER
@DavidandFamily2017
@DavidandFamily2017 Жыл бұрын
1-1=0 ❤🎉
@giovannacarvalhoaraujo5219
@giovannacarvalhoaraujo5219 5 ай бұрын
Mandelbrot 0:05
@Gounknown1984
@Gounknown1984 Жыл бұрын
0:10 egg mandelbrot
@dwightlumain8645
@dwightlumain8645 Жыл бұрын
I know
@giovannacarvalhoaraujo5219
@giovannacarvalhoaraujo5219 5 ай бұрын
Mandelbar 0:14
@liambenford3170
@liambenford3170 6 күн бұрын
Simonbar 4
@giovannacarvalhoaraujo5219
@giovannacarvalhoaraujo5219 5 ай бұрын
Mandelbrot 4 0:44
@giovannacarvalhoaraujo5219
@giovannacarvalhoaraujo5219 5 ай бұрын
Mandelbrot 3 0:25
@giovannacarvalhoaraujo5219
@giovannacarvalhoaraujo5219 5 ай бұрын
Burning ship 3 1:45
@giovannacarvalhoaraujo5219
@giovannacarvalhoaraujo5219 5 ай бұрын
Burning ship 2:05
@FractalCreator
@FractalCreator 5 ай бұрын
Your snapshots are spot on. Thank you!
@liambenford3170
@liambenford3170 6 күн бұрын
Simonbar 4 0:59
@giovannacarvalhoaraujo5219
@giovannacarvalhoaraujo5219 5 ай бұрын
Mandelbar 6 0:55
@liambenford3170
@liambenford3170 8 күн бұрын
Simonbar 1:40
@calebecades9225
@calebecades9225 Жыл бұрын
**Not boop Boop**
@giovannacarvalhoaraujo5219
@giovannacarvalhoaraujo5219 5 ай бұрын
Mandelbar 3 0:33
@calebecades9225
@calebecades9225 Жыл бұрын
(**Hetabrot not pops**)
@giovannacarvalhoaraujo5219
@giovannacarvalhoaraujo5219 5 ай бұрын
Burning ship 7 1:06
@liambenford3170
@liambenford3170 9 күн бұрын
Simonbar
@calebecades9225
@calebecades9225 Жыл бұрын
Burning ship
@calebecades9225
@calebecades9225 Жыл бұрын
Gyf
@calebecades9225
@calebecades9225 Жыл бұрын
Booioooghu
@TARDISSYT
@TARDISSYT 4 ай бұрын
S p e a k E n g l i s h
@giovannacarvalhoaraujo5219
@giovannacarvalhoaraujo5219 5 ай бұрын
Mandelbar 4 1:36
@giovannacarvalhoaraujo5219
@giovannacarvalhoaraujo5219 5 ай бұрын
Burning ship 5 1:25
@giovannacarvalhoaraujo5219
@giovannacarvalhoaraujo5219 5 ай бұрын
Mandelbar 5 1:14
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