1x1 tiles with clip
By using the different 1x1 tiles with clip we can get a simple but pretty sturdy 180 degree stud rotation. This one is inverted - studs are pointing inwards.
This part has been produced in a few different variants over the years. The patterns will differ slightly depending on the parts you use, and two #15712 will be roughly 1 LDU lower than it's corresponding variants. It's not enough of a variance to differ in most builds, but it's worth knowing.
To find the different pieces needed for this technique you can search LEGO's online Pick-a-Brick for the design ID's. We link other market places directly on each individual piece page, which you can find below.
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Putting it together is quite simple. The parts lock together well.
The complete assembly creates a pretty beautiful pattern.
If you prefer the instruction look, here it is. I'm a fan of the renders myself, but nostalgia keeps me from throwing the old pictures away.