A framed cream print of a dark butterfly-shaped tangle of fine lines, on a navy background beside the title Lorenz Attractor Wall Art.
  • A framed cream print of a dark butterfly-shaped tangle of fine lines, on a navy background beside the title Lorenz Attractor Wall Art.
  • The full cream print of the butterfly-shaped line, with small parameter text at the foot and notes on the line at left.
  • A large close-up of dense dark blue curves crossing on cream, next to a small print with a red square marking the crop.
  • The three Lorenz equations above a graph of two wave lines, blue and red, that start together and drift apart.
  • Five cream prints in different proportions labelled 2:3, 3:4, 4:5, 11:14 and ISO A with their pixel sizes at 300 dpi.
  • The Lorenz print in four frames of decreasing size, labelled 24 x 36 in, 16 x 20 in, 11 x 14 in and 8 x 10 in.
  • Page 1 of the Letter PDF and page 1 of the A4 PDF, each showing the Lorenz print with a white margin, with notes on print settings.
  • Four boxes for the PNG zip, Letter PDF, A4 PDF and Start Here PDF, with file sizes, and a note to unzip on a computer.

Lorenz Attractor Wall Art

The whole print is a single line, worked out step by step from the Lorenz equations and drawn dark blue on cream. The margin prints the standard parameters, sigma 10, rho 28 and beta 8/3, with the three equations in small type below them. The path begins with every coordinate at 1. It runs 100,000 steps, from t = 0 up to t = 100, with x going across and z going up. The tail at the bottom is the climb from the start point, kept in so the line never breaks. The zip has 5 PNGs, one per frame ratio, and two PDFs are for a home printer.

$3.99 on Etsy

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PNG files with a 300 dpi tag, plus Letter and A4 PDFs. A script read the PNG pixel sizes and compared the art with the equations. No test print or Acrobat check yet.

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What's included

  • Lorenz-Attractor-Wall-Art-PNG-5-Ratios.zip, 5 PNG files: 1 print in 5 ratios, with the license and font license text files
  • Lorenz-Attractor-Wall-Art-Print-at-Home-Letter.pdf, 2 pages: 1 of art, then the license
  • Lorenz-Attractor-Wall-Art-Print-at-Home-A4.pdf, 2 pages: 1 of art, then the license
  • Start-Here-Lorenz-Attractor-Wall-Art.pdf, which file fits which frame, print settings, license

How it works

  1. The full cream print of the butterfly-shaped line, with small parameter text at the foot and notes on the line at left.
    One print, one line One unbroken line from t = 0 to t = 100, with the parameters in the margin and the equations below.
  2. A large close-up of dense dark blue curves crossing on cream, next to a small print with a red square marking the crop.
    Real pixels A small square cut from the 24 x 36 in file shows many fine dark lines crossing.
  3. The three Lorenz equations above a graph of two wave lines, blue and red, that start together and drift apart.
    Equations and two starts The three equations and a graph of two nearly identical starts drifting apart over time.
  4. Five cream prints in different proportions labelled 2:3, 3:4, 4:5, 11:14 and ISO A with their pixel sizes at 300 dpi.
    Five ratios The art is laid out again for 2:3, 3:4, 4:5, 11:14 and ISO A, so nothing is stretched.
  5. Page 1 of the Letter PDF and page 1 of the A4 PDF, each showing the Lorenz print with a white margin, with notes on print settings.
    For a home printer A Letter PDF and an A4 PDF with the art 0.4 in clear of the page edge.

Compatibility and file formats

PNG files with a 300 dpi tag and indexed color, so that one zip stays under 20 MB. A script read the pixel size of each PNG and compared the art with the equations. The PDFs were drawn with poppler only. Opening the files in Adobe Acrobat Reader or Preview has not been recorded yet, and neither has a test print at home or at a print shop. The zip needs a computer or an app that can open zip files.

Instant download from Etsy · nothing shipped.

Video

Questions

Is it really one line?

Yes. It is one path of 100,000 steps, and a script found the inked pixels form one connected shape in each PNG.

Why is there a tail at the bottom?

That is the start of the line, climbing from the point (1, 1, 1) up to the butterfly shape. It stays in the print because it is part of the same line.

Can I change the line color?

No. These are finished PNG files in dark blue on cream.

Is a frame included?

No. This is a digital download, and no frame or print is shipped. The frames and walls in the listing images are drawn by code.

The frames and walls in the listing images are drawn by code, and no frame or print is shipped. Colors on paper depend on your printer and paper, and no test print has been recorded. License: for your personal use only. No resale or sharing of this file. AI helped write the listing text, the how-to text and the code that builds these files. The art is computed by that code from the equations named here, and no image generator was used. Scripts tested: the pixel size and 300 dpi tag of each PNG, the size of the zip, each step of the line against the equations, and that the ink on each PNG and PDF page matches that line. No person is claimed to have checked it unless stated here.