Three framed Lissajous curve prints on a wall: cream ribbon curves on teal, dark teal on ochre, and cream on rust, with a note that the frames are drawn by code.
  • Three framed Lissajous curve prints on a wall: cream ribbon curves on teal, dark teal on ochre, and cream on rust, with a note that the frames are drawn by code.
  • The three portrait prints side by side: a 3:2 curve on teal, a 4:3 curve on ochre and a 5:2 curve on rust, each with small text beneath.
  • A large close-up of fine cream lines crossing on teal, next to a small print with a red square showing where the 1,700 pixel crop was taken.
  • Two sine wave graphs, blue for x and red for y, beside the looped curve they make, with text explaining the 28 copies and phase step.
  • Five rust prints in different proportions, labelled 2:3, 3:4, 4:5, 11:14 and ISO A with their pixel sizes at 300 dpi.
  • The rust 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 teal print with a white margin, with notes on pages and print settings.
  • Four boxes for the PNG zip, Letter PDF, A4 PDF and Start Here PDF, with file sizes, and a note that no frame or print is shipped.

Lissajous Wall Art

This set has three Lissajous curve prints, each with a different frequency ratio: 3:2, 4:3 and 5:2. Colors differ too. The first is cream on teal, the second dark teal on ochre and the third cream on rust. Each print draws one ratio 28 times, nudging the phase a little each time, so the line opens into a ribbon where the copies cross. The ratio and its equation sit small under each curve. The zip holds 15 PNG files in five frame ratios up to 24 x 36 in, and two PDFs are for a home printer. No frame or print is shipped.

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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

  • Lissajous-Wall-Art-PNG-5-Ratios.zip, 15 PNG files: 3 prints in 5 ratios, with the license and font license text files
  • Lissajous-Wall-Art-Print-at-Home-Letter.pdf, 4 pages: 3 of art, then the license
  • Lissajous-Wall-Art-Print-at-Home-A4.pdf, 4 pages: 3 of art, then the license
  • Start-Here-Lissajous-Wall-Art.pdf, which file fits which frame, print settings, license

How it works

  1. The three portrait prints side by side: a 3:2 curve on teal, a 4:3 curve on ochre and a 5:2 curve on rust, each with small text beneath.
    The three prints Ratios 3:2, 4:3 and 5:2, each with its ratio and equation printed below the curve.
  2. A large close-up of fine cream lines crossing on teal, next to a small print with a red square showing where the 1,700 pixel crop was taken.
    Real pixels A small square cut from the 24 x 36 in file shows the ribbon lines at full size.
  3. Two sine wave graphs, blue for x and red for y, beside the looped curve they make, with text explaining the 28 copies and phase step.
    How each curve is drawn Two sine waves, one for left and right and one for height, plotted against each other.
  4. Five rust 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 teal print with a white margin, with notes on pages and 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.

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Video

Questions

Is each print one curve?

Each print is one frequency ratio, drawn as 28 copies with a small phase shift between them. That makes a ribbon and not a single line.

Can I change the colors?

No. These are finished PNG files. The colors are fixed: teal, ochre and rust.

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.

Which file do I use for an 8 x 10 frame?

The file ending in _4x5. Start Here has a table of each ratio and the sizes it fills. A size outside the table, such as 5 x 7 in, has no exact file.

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, and that the ink on each PNG and PDF page matches the curves when a separate script works them out again. No person is claimed to have checked it unless stated here.