Vedalken Samurai @vedalkensamurai - Tumblr Blog

vedalkensamurai

Chapter V

z_(n+1) = e^(z_n^t - z_n^-t) + c - 1

t increases from 5 to 6. The image is rotated 90° clockwise.

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#math #fractal #math art #fractal art #animation #gif #escape time algorithm #rerun

workerfile

You Were Never Here II, Digital Collage, 2026.

z_(n+1) = z_n² + i^(4tn)c

#math #math art #fractal #fractal art #animation #gif #escape time algorithm #mandelbrot set

Augmented Hexagonal Prism

z_(n+1) = ½^a * (i^(-16t) * (1 + cos(2πt))^a * z_n⁷ + i^(-12t) * (1 + cos(2π(t+⅓)))^a * z_n⁴ + i^(-8t) * (1 + cos(2π(t+⅔)))^a * z_n⁵) + c(-1)^n

a = log_((1+cos(π/3))/2)(½)

#math #math art #fractal #fractal art #animation #gif #orbit trap #augmented hexagonal prism #johnson solids #polyhedron

Gyroelongated Pentagonal Cupolarotunda

z_(n+1) = ½^a * (i^(-16t) * (1 + cos(2πt))^a * z_n⁶ + i^(4t) * (1 + cos(2π(t+¼)))^a * z_n⁴ + i^(-4t) * (1 + cos(2π(t+½)))^a * z_n⁵ + i^(16t)(1 + cos(2π(t+¾)))^a * z_n⁶) + c(-1)^n

a = log_((1+cos(π/4))/2)(½)

#math #math art #fractal #fractal art #animation #gif #orbit trap #gyroelongated pentagonal cupolarotunda #johnson solids #polyhedron

r0b0trealms

Roots

Dipole

z_(n+1) = log_(z_n⁴ + z_n^-4)(c)

z₀ = c

100,000,000 random complex values of c are sampled; 0-128 iterations for red, 16-256 for green, 92-128 for blue.

Get pulled in

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Chapter V

z_(n+1) = z_n^(2 + t) + c if n is even

z_(n+1) = e^((1 + t/2)z_n) + e^((-1 - t/2)z_n) - 2 + c if n is odd

t increases from 4 to 5.

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#math #math art #fractal #fractal art #animation #gif #escape time algorithm #mandelbrot variant

Elongated Square Gyrobicupola, or Pseudorhombicuboctahedron

z_(n+1) = ½^a * (i^(8t) * (1 + cos(2πt))^a * z_n⁵ + i^(16t) * (1 + cos(2π(t+¼)))^a * z_n⁴ + i^(-16t) * (1 + cos(2π(t+½)))^a * z_n⁴ + i^(-8t) * (1 + cos(2π(t+¾)))^a * z_n⁵) + c(-1)^n

a = log_((1+cos(π/4))/2)(½)

#math #math art #fractal #fractal art #animation #gif #orbit trap #elongated square gyrobicupola #pseudorhombicuboctahedron #johnson solids #polyhedron

ericaofanderson

Signal Interference.

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KnownOrigin / SuperRare / OBJKT / Zedge

Chapter IV

z_(n+1) = z_n^(2 + t) + c if n is even

z_(n+1) = e^((1 + t/2)z_n) + e^((-1 - t/2)z_n) - 2 + c if n is odd

t increases from 3 to 4.

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#math #math art #fractal #fractal art #animation #gif #escape time algorithm #mandelbrot variant

z_(n+1) = z_n^(3 + 2sin(t)) + c if n is even

z_(n+1) = z_n^(3 - 2sin(t)) + c if n is odd

#math #math art #fractal #fractal art #animation #gif #escape time algorithm #mandelbrot variant

Square Gyrobicupola

z_(n+1) = ½^a * (i^(8t) * (1 + cos(2πt))^a * z_n⁵ + i^(4t) * (1 + cos(2π(t+¼)))^a * z_n⁴ + i^(-4t) * (1 + cos(2π(t+½)))^a * z_n⁴ + i^(-8t) * (1 + cos(2π(t+¾)))^a * z_n⁵) + c(-1)^n

a = log_((1+cos(π/4))/2)(½)