WiWave Interference

Mathematical & Geometric · Scale 3

Wave Interference

Ripples spread from several sources. Where they meet they add up in some places and cancel in others. The pattern that results is called interference.

What it is

Each source sends out circular ripples that weaken with distance. At every place on the canvas the ripples from all the sources are added up. Crest on crest makes a big number, and crest on trough cancels to zero.

The sum is a formula, so it can be worked out at any point and read at any resolution.

The plates

Four plates. Ten small sources are spaced evenly along the outline of the word. Their ripples are at half strength 60 units away, on a canvas of 1,000 units. The sums are cut into three bands. The dial is the wavelength, the distance from crest to crest: 56, 80, 110 and 160 units.

Safari stop · Ripples · Wavelength
  • 56 units

  • 80 units

  • 110 units

  • 160 units

Turn the dial on the safari →

One more plate, from the stop where two families are crossed. Ten sources send ripples 100 units from crest to crest, at half strength 400 units away. Each rhombus of a 7-fold tiling takes one flat tone from the ripple height at its centre.

Safari stop · Two families, crossed
  • 7-fold tiles + waves

Turn the dial on the safari →

The plates are drawn by mosaic, a small Python library of our own, built on numpy, scipy, shapely and contourpy. No image model is involved, and each plate is a flat-colour SVG under 45 KB. The word Ciao is the safari's constant: it sits in the same place on every plate.

What we did and found

Shorter wavelengths did not fit a plate. At 18 units the file was 288 KB against a limit of 45 KB. The shortest wavelength on the dial is 56 units.

What is open

Wavelengths below 56 units are not on a plate. The formula gives them; the 45 KB limit on the file is what stops us.

mosaic is not yet part of Platypus, our visuals engine. That is why this cell is marked as working and not as shipped: the page is our notebook on the element.

Composes with

Other cells in the table — most still to be walked into in coming sessions.