15
Apr
08

Moiré Pattern

A Moiré pattern is the interference of two similar overlapping patterns. Here is the Moiré pattern on a twisted IKEA wastepaper basket. The mesh on the wastepaper basket was ray-traced from 100,000 tiny cylinders.

Here is some Mathematica code to plot Moiré contours around radiating lines:
(* runtime: 1.7 seconds *)
f[dx_] := Sin[200ArcTan[x - dx, y]];
DensityPlot[f[0.1] - f[-0.1], {x, -1, 1}, {y, -1, 1}, PlotRange -> {0, 1}, PlotPoints -> 275, Mesh -> False, Frame -> False]

Here is some Mathematica code to plot a Moiré pattern from rapidly varying contours of a function:
(* runtime: 0.8 second *)
f[z_] := z^3; DensityPlot[Sin[20Pi Abs[f[x + I y]]], {x, -2.5, 2.5}, {y, -2.5, 2.5}, PlotPoints -> 275, Mesh -> False, Frame -> False]

Link:

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1 Response to “Moiré Pattern”


  1. 1 Barbara
    May 18, 2010 at 2:36 pm

    Hi,
    What are the steps in photoshop to create a ‘moire’ pattern.
    Thanks!
    Barbara


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