What have I Done With Mandelbrot? - Music "I'm Coming On" by Teen Years After
What am I doing with the Mandelbrot set?
Maybe it’s okay, maybe it’s wrong?
Maybe it’s cool, maybe it’s hot?
Maybe it’s beautiful, maybe it’s scary?
But something must be done!
I use this complex formula: Z ← G(Z) + F(C)
G(Z) is a complex function of Z. F(C) is a complex function of the screen coordinate C.
In this video G(Z)=0 if Z=0 else: G(Z) = Z^(n∙(Z^p)) where n and p are real numbers.
F(C) = C^(m∙(C^q)) + k where m, q and k are real numbers.
Note that if p=q=k=0 we have the Mandelbrot Set: Z ← Zⁿ+Cᵐ
The following morph transitions are made:
(n, m, p, q, k) = (2, 1, 0, -1, 0) → (2, 1, 0, 0, 0) → (2, 1, 0, 0.25, 0) → (2, 1, 0, 0.25, 1) →
(2, 1, 1, 0.5, 1) → (3, 1, 0, 0, 0) → (3, 1, 0, 0.25, 0) → (3, 1, 0, 0.3, 1) → (3, 1, 1, 1.125, 0.55) →
(4, 1, 0, 0, 0) → (4, 1, 0, 0.2, 0) → (5, 1, 0, -1, 0) → (5, 1, 0, 0, 0) → (5, 1, 0, 0.2, 0) →
(5, 1, 0, 0.25, 1.2) → (6, 1, 0, 0, 0) → (6, -1, 0, 0.2, 0) → (2, -1, 0, 0, 0) → (2, -1, 0, -0.125, 1.1) →
(2, -1, 1, -0.125, 1.1) → (2, -2, 0, 0, 0) → (2, -2, 0, 0.2, 0) → (2, -3, 0, -0.2, 0.5) → (2, -3, 0, 0, 0) →
(2, -3, 0, -1, 0) → (2, -4, 0, -0.2, 0.5) → (2, -4, 0, -1, 0) → (2, -4, 0, 0, 0) → (2, -5, -0.25, 0, 0) →
(2, -2, -0.25, 0, 0) → (2, 1, 0, 0, 0)
Видео What have I Done With Mandelbrot? - Music "I'm Coming On" by Teen Years After канала Jens-Peter Christensen
Maybe it’s okay, maybe it’s wrong?
Maybe it’s cool, maybe it’s hot?
Maybe it’s beautiful, maybe it’s scary?
But something must be done!
I use this complex formula: Z ← G(Z) + F(C)
G(Z) is a complex function of Z. F(C) is a complex function of the screen coordinate C.
In this video G(Z)=0 if Z=0 else: G(Z) = Z^(n∙(Z^p)) where n and p are real numbers.
F(C) = C^(m∙(C^q)) + k where m, q and k are real numbers.
Note that if p=q=k=0 we have the Mandelbrot Set: Z ← Zⁿ+Cᵐ
The following morph transitions are made:
(n, m, p, q, k) = (2, 1, 0, -1, 0) → (2, 1, 0, 0, 0) → (2, 1, 0, 0.25, 0) → (2, 1, 0, 0.25, 1) →
(2, 1, 1, 0.5, 1) → (3, 1, 0, 0, 0) → (3, 1, 0, 0.25, 0) → (3, 1, 0, 0.3, 1) → (3, 1, 1, 1.125, 0.55) →
(4, 1, 0, 0, 0) → (4, 1, 0, 0.2, 0) → (5, 1, 0, -1, 0) → (5, 1, 0, 0, 0) → (5, 1, 0, 0.2, 0) →
(5, 1, 0, 0.25, 1.2) → (6, 1, 0, 0, 0) → (6, -1, 0, 0.2, 0) → (2, -1, 0, 0, 0) → (2, -1, 0, -0.125, 1.1) →
(2, -1, 1, -0.125, 1.1) → (2, -2, 0, 0, 0) → (2, -2, 0, 0.2, 0) → (2, -3, 0, -0.2, 0.5) → (2, -3, 0, 0, 0) →
(2, -3, 0, -1, 0) → (2, -4, 0, -0.2, 0.5) → (2, -4, 0, -1, 0) → (2, -4, 0, 0, 0) → (2, -5, -0.25, 0, 0) →
(2, -2, -0.25, 0, 0) → (2, 1, 0, 0, 0)
Видео What have I Done With Mandelbrot? - Music "I'm Coming On" by Teen Years After канала Jens-Peter Christensen
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