This is the "Two Tone Coaster" from Workbasket Magazine's book "Tatting Patterns: The Classic Collection" (part of their Aunt Ellen's Treasury series). I used a smaller thread and did it in all white, and I think it makes a lovely snowflake. I suspect that with some careful pinning, I can coax the large loops into diamonds when starching. I love the nested shapes (flower-hexagon-flower-honeycomb) and contrast between the dense and open areas.
Sadly, this is yet another out-of-print book and the Amazon used price has gotten crazy.