I switched back to tatting snowflakes, so I haven't made any more progress on the large magic square. Maybe I will have more of the magic square to post next week, depending on how the snowflake project is coming along.
Here are a few of the designs that I've been diagramming, proofreading, and tatting:
The two on the left are inspired by Joëlle Paulson's Crystal Star. The one on the right is from my experiments with onion rings.