Fractals & More
Fractals & More
  • Видео 97
  • Просмотров 167 334
Seventh power Mandelbrot set, complex exponent morph, 8K remake, Julia Set zoom, Z^E + C
We start with following complex function: F(Z) = Z^E + C
This function is iterate so that: Z_n+1 = F(Z_n)
Tiles are like follows:
---------------------
| E | C | Z |
---------------------
Cam*w represents the zoom level of each tile. E: Cam0w, C: Cam1w, Z: Cam2w.
00:00 Iterations: 40, Split: [0.333, 0.666]
00:06 Iterations: 50, Er: 7, Ei: 0, Cr: 0.877999999999975, Ci: 0.579946999947035
00:12 Iterations: 60, Split: [0.0, 1.0]
00:18 Iterations: 70, Cam0w: 10, Cam1w: 1e-13, Cam2w: 4
00:36 Split: [0.0, 0.0]
00:42 Cam0w: 10, Cam1w: 1e-13, Cam2w: 1e-1
00:48 Split: [0.333, 0.666]
00:51 Split: [1.0, 1.0]
00:54 Cam0w: 1e-12, Cam1w: 1e-13, Cam2w: 1e-1
01:12 Split: [0.333, 0.666]
01:18 Iterations: 1, Cam0w: 5, Cam1w...
Просмотров: 472

Видео

Cooking a delicious veggie risotto
Просмотров 2788 месяцев назад
Cooking a delicious veggie risotto
Making a piece of fabric with my home-made loom
Просмотров 9812 года назад
Making a piece of fabric with my home-made loom
DIY repair a laptop charger cable at home
Просмотров 832 года назад
In this video I show how to repair a laptop charger cable.
World of dragons: Multiple powers of the Mandelbrot set at once, exploring coefficients, Julia Set
Просмотров 2,1 тыс.2 года назад
Formula: Z = AZ¹⁰ BZ⁹ CZ⁸ DZ⁷ EZ⁶ FZ⁵ GZ⁴ HZ³ IZ² JZ K Initially all coefficients are set to 0, the initial view is the one of K Transitions: 00:00 z⁸ z⁷ z⁶ z³ z² z 00:02 z¹⁰ z⁹ z⁸ z² z 00:04 z¹⁰ z⁹ z⁸ z⁷ z 00:06 z¹⁰ (1 i)z⁹ z⁸ (1 i)z⁷ (i)z⁵ (i)z⁴ (i)z³ (1 i)z 00:08 z⁸ (1 i)z⁷ z⁶ z⁵ (1 i)z⁴ (1 i)z³ (1 i)z² 00:11 zoom out: 18, rotate view to 90% I and 10% K 00:14 z⁸ (1 i)z⁷ z⁶ z⁵ (1 i)z⁴ (1 i)z³...
The Bubble - A sphere inside the Mandelbrot set / Julia set 4D space
Просмотров 1,2 тыс.2 года назад
In this video the Mandelbrot set is combined with the Julia set to form a bigger 4D space. The 4D space has the axis Re(C), Im(C), Re(Z), Im(Z). The 4D space is then transformed into a 3D space using a transformation matrix. A sphere is then placed inside this 3D space. The surface of the sphere is rendered in this 360º Video. Formula: Z² C (the good old Mandelbrot set / Julia set) Parameters:
Extracting cabbage seeds time-lapse
Просмотров 872 года назад
Extracting cabbage seeds time-lapse
Third power Mandelbrot set power morph and Julia set - Music: Beach Walk by Unicorn Heads
Просмотров 3,7 тыс.2 года назад
Transitions from first power Mandelbrot to ninth power Mandelbrot and then to Julia set. The transitions are made by changing the values of the coefficients of the complex polynomial. Formula: Z = BZ⁹ CZ⁸ DZ⁷ EZ⁶ FZ⁵ GZ⁴ HZ³ IZ² JZ K Initial parameters: H = 0.00001, I = 1, K=-1 Pixels: J 00:00 iterations: 100, Zoom: 10.0, Center: J → -0.5 00:03 iterations: 800, Zoom: 1e-11, Center: J → -0.75800...
Buddhabrot fractal next to the corresponding Mandelbrot set - pathfinding algorithm - Second attempt
Просмотров 9602 года назад
On the top right part of the video there is the outline of the Mandelbrot set. The outline of the Mandelbrot set is drawn with a iterative pathfinding algorithm. For each pixel of the outline that is drawn a the value of c is taken and is iterated. While the iteration is performed each value of z is tracked making a trajectory. All the values of z are then converted into pixel coordinates and s...
Buddhabrot fractal next to the corresponding Mandelbrot set - pathfinding algorithm - First attempt
Просмотров 1,3 тыс.2 года назад
On the top right part of the video there is the outline of the Mandelbrot set. The outline of the Mandelbrot set is drawn with a iterative pathfinding algorithm. For each pixel of the outline that is drawn a the value of c is taken and is iterated. While the iteration is performed each value of z is tracked. All the values of z are then converted into pixel coordinates and sprayed on the image.
Ninth power Mandelbrot set power morph and Julia set - 5E-16 zoom, 1000 iterations
Просмотров 1,9 тыс.2 года назад
Transitions from first power Mandelbrot to ninth power Mandelbrot and then to Julia set. The transitions are made by changing the values of the coefficients of the complex polynomial. Formula: Z = BZ⁹ CZ⁸ DZ⁷ EZ⁶ FZ⁵ GZ⁴ HZ³ IZ² JZ K Each pixel in the first part of the video correspond to different values of K. Each pixel in the second part of the video correspond to different values of Z. Init...
The Bubble - A sphere inside the Mandelbrot set / Julia set 4D space - Translations and rotations
Просмотров 2,3 тыс.2 года назад
In this video the Mandelbrot set is combined with the Julia set to form a bigger 4D space. The 4D space has the axis Re(C), Im(C), Re(Z), Im(Z). The 4D space is then compressed into a 3D space using a transformation matrix. A sphere is then placed inside this 3D space. The surface of the sphere is rendered in this 360º Video. Formula: Z² C (the good old Mandelbrot set / Julia set) Initial param...
The Bubble - A sphere inside the Mandelbrot set / Julia set 4D space - 40000 iterations, zoom: 5E-14
Просмотров 2,9 тыс.2 года назад
The Bubble - A sphere inside the Mandelbrot set / Julia set 4D space - 40000 iterations, zoom: 5E-14
Matrix fractals - Mandelbrot and Julia set made with matrices
Просмотров 2,1 тыс.3 года назад
Matrix fractals - Mandelbrot and Julia set made with matrices
kingdom of the dragons: Multiple powers of the Mandelbrot set at once, Julia Set
Просмотров 1,8 тыс.3 года назад
kingdom of the dragons: Multiple powers of the Mandelbrot set at once, Julia Set
Tenth power Mandelbrot and Julia set power morph
Просмотров 8 тыс.3 года назад
Tenth power Mandelbrot and Julia set power morph
Mandelbrot fractal appears from another formula
Просмотров 2,5 тыс.3 года назад
Mandelbrot fractal appears from another formula
Julia Set zoom, complex power, Z^Z + C
Просмотров 2,8 тыс.3 года назад
Julia Set zoom, complex power, Z^Z C
Parallax world - galaxy of colours - Factored polynomial quotient fractal
Просмотров 1,6 тыс.3 года назад
Parallax world - galaxy of colours - Factored polynomial quotient fractal
Merry Christmas - Frozen world fractal
Просмотров 1,3 тыс.3 года назад
Merry Christmas - Frozen world fractal
Christmas special - Factored polynomial quotient fractal zoom and Julia set zoom
Просмотров 9003 года назад
Christmas special - Factored polynomial quotient fractal zoom and Julia set zoom
Alien asteroid belt - Factored polynomial quotient Julia set zoom
Просмотров 2,2 тыс.3 года назад
Alien asteroid belt - Factored polynomial quotient Julia set zoom
Fractal zoom and Julia Set - Factored polynomial quotient: (Z + A)*(Z + B)*(Z+C)*(Z + D)/(Z+E)
Просмотров 2,1 тыс.3 года назад
Fractal zoom and Julia Set - Factored polynomial quotient: (Z A)*(Z B)*(Z C)*(Z D)/(Z E)
Seventh power Mandelbrot set, complex exponent morph, complex power, Julia Set zoom, Z^E + C
Просмотров 9 тыс.3 года назад
Seventh power Mandelbrot set, complex exponent morph, complex power, Julia Set zoom, Z^E C
Factored polynomial quotient fractal zoom and it's Julia Set - (Z + A)*(Z + B)/(Z + C)
Просмотров 8783 года назад
Factored polynomial quotient fractal zoom and it's Julia Set - (Z A)*(Z B)/(Z C)
Polynomial quotient fractal and Julia Set - (Z + A)*(Z + B)/(Z + C)
Просмотров 7733 года назад
Polynomial quotient fractal and Julia Set - (Z A)*(Z B)/(Z C)
A Divide-and-Conquer Algorithm for Computing Voronoi Diagrams
Просмотров 6333 года назад
A Divide-and-Conquer Algorithm for Computing Voronoi Diagrams
Virus fractal morph, Julia Set zoom, complex power, A^(Z + B) + C
Просмотров 8923 года назад
Virus fractal morph, Julia Set zoom, complex power, A^(Z B) C
Julia Set, second, third and fourth power - 30 iter - Polynomial fractals AZ⁴ + BZ³ + CZ² + DZ + E
Просмотров 8283 года назад
Julia Set, second, third and fourth power - 30 iter - Polynomial fractals AZ⁴ BZ³ CZ² DZ E
Julia Set, second, third and fourth power - 60 iter - Polynomial fractals AZ⁴ + BZ³ + CZ² + DZ + E
Просмотров 6773 года назад
Julia Set, second, third and fourth power - 60 iter - Polynomial fractals AZ⁴ BZ³ CZ² DZ E