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Selected figures from the moiré book (Vol. II)

Each of the following figures from the book is provided in two different file formats: as a PostScript file, and as a PDF file. Both formats should give precisely the same printed results. Click on the highlighted "PS" or "PDF" indicator next to each of the items below to download the corresponding PostScript or PDF file. Further information on printing PostScript files is given here; further information on printing PDF files is given here.

For some of the figures the superposed layers are provided in separate files that can be individually printed on transparencies. By superposing them manually you will obtain a vivid illustration of the moiré dynamics in the superposition. For best visual results, lay the superposed transparencies on a light table, or hold them against a distant white background (for example, you may hold the superposed transparencies about 20 cm above a white sheet of paper). Alternatively, you may print one of the layers on a white paper and superpose on top of it the other layer, printed on a transparency. (Note that even the slightest undulations in the superposed transparencies may cause significant deformations in the resulting moiré shapes. These deformations can be largely reduced by printing the superposed layers on the same sheet of paper, but in this case the dynamic effect is obviously lost.)

These moiré figures accompany Vol. II of the book The Theory of the Moiré Phenomenon by I. Amidror, published by Springer, 2007. All the references below are made to this book.



Contents of this page:



A didactic downloadable moiré demonstration kit

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Figures from Chapter 2:


Superposition of two aperiodic or periodic dot screens under various linear layer transformations:


Superposition of three dot screens:



Figures from Chapter 3:


The behaviour of Glass patterns between aperiodic dot screens under layer shifts:


The behaviour of moiré patterns between periodic dot screens under layer shifts:


Superposition of two aperiodic or periodic dot screens under various non-linear layer transformations:


Superposition of two structures consisting of text lines:



Figures from Chapter 4:


Examples of synthesized aperiodic layers that give in their superposition dot trajectories having a desired shape:



Figures from Chapter 5:


Superposition of two aperiodic or periodic dot screens under non-linear layer transformations and layer shifts:



Figures from Chapter 6:


Superposition of two aperiodic or periodic line gratings under various linear layer transformations:


Superposition of two aperiodic or periodic line gratings under various non-linear layer transformations:



Figures from Chapter 7:


Superposition of two aperiodic or periodic dot screens, one consisting of "1"-shaped dots and the other consisting of tiny pinholes:


Superposition of two aperiodic dot screens, one consisting of "2"-shaped dots and the other consisting of tiny pinholes, under non-linear layer transformations:


Superposition of two periodic dot screens, one consisting of "2"-shaped dots and the other consisting of tiny pinholes, under non-linear layer transformations:



Figures from the appendices:


An example with 4 fixed points:


Hybrid (1,-1)-moiré whose moiré bands have 2D intensity profiles, the case of aperiodic layers:


Hybrid (1,-1)-moiré whose moiré bands have 2D intensity profiles, the case of periodic layers:



The cover figures:


Front cover figure:

A star-shaped Glass pattern in the superposition of two slightly transformed copies of an aperiodic dot screen. For more details see Problem 3-18 in the book.


Back cover figures:

Radial (or circular) dot trajectories in the superposition of two copies of an aperiodic dot screen, where one of the two superposed layers has been slightly scaled (or slightly rotated). These are parts (e) and (c), respectively, of Figure 2.1 in the book.



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Last modified: 2008/10/23