Mandelbrot - The Mandelbrot Set

SERIES B // Mandelbrot

The Mandelbrot Set

NO. 00001 · Full set · Cyan

z² + c. The most famous shape in mathematics, an infinite coastline around a single island.

2,900 RSD + 500 RSD shipping. No payment on the site - pay on delivery or by bank transfer after we confirm.
Format
Size
  • Pay on delivery
  • Printed in Serbia
  • 300 DPI giclée
  • Safe packaging
About the piece

One equation, infinitely many coastlines. Each picture is a window into the Mandelbrot set, magnified to places no eye has looked before.

Drawn in code from seed
00001
Series
Mandelbrot
Variant
Full set
Palette
Cyan
Print & materials

Matte giclée with pigment inks on archival fine-art paper (230 gsm), at 300 DPI. Every size is rendered natively - lines stay razor-sharp even at 61 × 91 cm. Metal and acrylic: deep, saturated colour on a floating mount.

Shipping & payment

Prints arrive in 3–5 business days, framed and metal in 7–10. We ship by courier across Serbia and the region. Pay on delivery or by bank transfer once we confirm your order - no card details are ever entered on the site.

MATHEMATICS

The maths behind the picture

Every piece is computed, not drawn. These are the real equations and numbers from the program that made this exact piece.

Equationszₙ₊₁ = zₙ² + cz₀ = 0|zₙ| > 2 ⇒ c ∉ M
Parameters
Re(c) centre
-0.698631
Im(c) centre
0.001578
Window width
3.1
Magnification ×
1
Max iterations
400
Rotation
0°
Measured while drawing
Points computed
1,533,070
Inside the set (%)
15.07
Mean escape
5.9
What these numbers mean

This window is magnified 1 times. 15.1% of points stay trapped in the set forever; the rest escape after 6 steps on average. Each point's colour is exactly that step count.

HISTORY

Where this idea comes from

Mandelbrot

  1. 1918

    Gaston Julia and Pierre Fatou study the iteration of complex functions, with no computers, only pencil and paper.

  2. 1978

    Robert Brooks and Peter Matelski publish the first picture of the set, printed in characters on a line printer.

  3. 1980

    Benoit Mandelbrot at IBM explores the set by computer and reveals its infinite complexity. He had coined the word "fractal" in 1975.

  4. 1982

    Adrien Douady and John Hubbard prove the set is connected and name it after Mandelbrot.

From the same series

All works in the series →
Манделброт · Mandelbrot - Seahorse Valley View → Seahorse Valley NO. 00001 Mandelbrot · Seahorses from 2,900 RSD Манделброт · Mandelbrot - Spiral View → Spiral NO. 00001 Mandelbrot · Spiral from 2,900 RSD Манделброт · Mandelbrot - Minibrot View → Minibrot NO. 00001 Mandelbrot · Minibrot from 2,900 RSD Манделброт · Mandelbrot - Tendril View → Tendril NO. 00001 Mandelbrot · Tendril from 2,900 RSD Манделброт · Mandelbrot - Starfish View → Starfish NO. 00001 Mandelbrot · Starfish from 2,900 RSD

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Total - Includes 500 RSD courier shipping. You only pay on delivery.
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