Construct, or make a shape on a conventional 8 bit per channel RGB canvas;
01
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Uniformly fill it with ~40% gray;
02
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Blur edges to achieve a fade to white;
03
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Crop to original shape (or slightly larger);
05
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At this point, you have two choices. You can either:
a)Convert to grayscale, then to bitmap with the following parameters:
input = output resolution = 72 ppi (halftone screen)
frequency = 1 line per inch
angle = 0 degrees
shape = round
...and you should get something close to this. If you don't want the circles to touch each other and look more like diamonds in the areas they are touching, just make the gray fill a bit lighter.
06a
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or
b) Leave it as an RGB image and use
Filter / Pixellate / color halftone
Maximum radius = 60 px
All angles = 0 degrees
...and you should get something close to this:
06b
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HTH,
Tom M