I learned how to make neat half-tone patterns in Photoshop this week. Here is a step by step guide on how to create neat halftone textures. I will assume you already know how to open Photoshop and make simple operations within Photoshop.

Step 1: Open Photoshop and make a new document about 600x600 pixels. Create a new blank layer.

Step 2: Select the Brush Tool and make one dot in the center size 100 with 50% hardness.

Step 3: Load Selection of the dot by going to Select>Load Selection>click OK. Then select inverse.

Step 4: Make a new blank layer and then hit Q. The circle should now appear red.

Step 5: Now go to Filter>Pixelate>Color Halftone and change to these settings:

Step 6: Now exit the quick mask by pressing Q again. Now make an inverse selection. You can then fill the selection and you have a very neat halftone texture.