Chladni Figures Wall Art Printable, Vibrating Plate Patterns, Physics Poster Set of 4

Four nodal patterns of a square vibrating plate, as four separate prints to hang in a 2 x 2 grid. A fifth sheet holds all four plates on one page, for a single poster.

The plates use n = 3, m = 5; n = 2, m = 7; n = 4, m = 9; and n = 5, m = 8. Each pattern comes from the standing-wave formula printed under it: z = cos(nπx) cos(mπy) ± cos(mπx) cos(nπy). The pale lines mark the band where z is close to zero, |z| under 0.055. On a real plate, that is where sand collects.

Cream lines on a near-black plate, with a cream border and a small caption.

One zip holds every PNG, sized at 300 dpi for 24 x 36 in, 18 x 24 in, 16 x 20 in, 11 x 14 in and A1. The same files print smaller at a higher dpi, for example 8 x 12 in, 9 x 12 in, 8 x 10 in and A4. Start Here lists all 20 sizes.

The Letter and A4 PDFs are for a home printer. The art is vector drawn and stops 0.4 in from the page edge. The last page of each PDF holds only the license.

HOW THIS WAS MADE
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 pale lines on each PNG and PDF page match the formula when a separate script works it out again. No person is claimed to have checked it unless stated here.

License: for your personal use only. No resale or sharing of this file.

WHAT'S INCLUDED
- Chladni-Figures-Wall-Art-PNG-5-Ratios.zip, 25 PNG files: 5 prints (4 separate prints and 1 grid sheet) in 5 ratios, with the license and font license text files
- Chladni-Figures-Wall-Art-Print-at-Home-Letter.pdf, 6 pages: 5 of art, then the license
- Chladni-Figures-Wall-Art-Print-at-Home-A4.pdf, 6 pages: 5 of art, then the license
- Start-Here-Chladni-Figures-Wall-Art.pdf, which file fits which frame, print settings, license

Digital download. Nothing is shipped.

Ratios and largest size at 300 dpi: 2:3 at 24 x 36 in (7,200 x 10,800 px), 3:4 at 18 x 24 in (5,400 x 7,200 px), 4:5 at 16 x 20 in (4,800 x 6,000 px), 11:14 at 11 x 14 in (3,300 x 4,200 px), ISO A at A1 (7,016 x 9,933 px).

File sizes:


Chladni-Figures-Wall-Art-PNG-5-Ratios.zip: 6,770,031 bytes
Chladni-Figures-Wall-Art-Print-at-Home-A4.pdf: 269,605 bytes
Chladni-Figures-Wall-Art-Print-at-Home-Letter.pdf: 270,997 bytes
Start-Here-Chladni-Figures-Wall-Art.pdf: 37,217 bytes


COMPATIBILITY
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.

QUESTIONS AND HOW-TO
Are these photos of real sand on a plate? No. They are computed from a formula that is the usual approximation for a square plate. A real plate has its own small differences.

How do I hang them as a grid? Print the 4 separate files at the same size in matching frames. If you want one poster, use the file with Grid in its name.

Which plate is which? Each file name gives n and m, for example Chladni-n3-m5, and the same numbers are printed under the plate.

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.

Can I print these at a shop? A shop can take a PNG from the zip. Each one is an ordinary PNG with a 300 dpi tag. No print from a shop has been recorded yet, so ask for a proof if the color matters to you.

Can I use it in something I sell? No. The license covers your own personal use only.

Print settings for this PDF

Open the PDF in Adobe Acrobat Reader or Preview, not in a browser tab. Browsers can change the scale without telling you.

In the print window, pick the paper size that matches the file name.

In Acrobat Reader, set Page Sizing to Actual Size. In Preview, set Scale to 100%. If the edges get cut off, switch to Fit in Acrobat Reader or Scale to Fit in Preview.

Print one page first and check it before you print the rest.

To print only some pages, type the numbers in the Pages box, for example 3-8.

For double-sided pages, choose flip on long edge for portrait pages.

A4 or US Letter

US Letter is 8.5 x 11 inches (216 x 279 mm). It is the usual paper in the United States and Canada.

A4 is 210 x 297 mm (8.3 x 11.7 inches). It is the usual paper in most other countries.

The paper size is in each file name. Print the one that matches the paper in your printer.

If you only have the other size, use Fit or Scale to Fit in the print window. The page will come out slightly smaller, with wider margins.

HOW AI WAS USED
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 pale lines on each PNG and PDF page match the formula when a separate script works it out again. No person is claimed to have checked it unless stated here.

PLEASE NOTE
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.