How can I change this monochrome map of Europe...
...into mosaic squares, with the pixels offset by a fixed width?
I asked this question but I couldn't find a suitable answer. I hope that you can help me with this.
Using Illustrator and Photoshop together with no plugins and minimal work.
Image 1: Illustratoion after Bonus step. Note result is heavily dependent on the exact size and how you did the levels. You may need to hint/paint some parts yourself for optimal results.
The easiest way is to simply use the Phantasm Halftone Effect From AstuteGraphics.com
You simply select any object, then choose
Effect > Phantasm > Halftone from the menu. Set the halftone to "Square" and reduce the DPI until you're happy with the appearance.
To do it manually, you need to draw a grid of squares (
Object > path > Split Into Grid will help), then delete individual squares to form the overall shape.