HI Brynn,
I'm so glad you got this Topic started!
I've been reading about what you all have been doing, and its fascinating.
I came at things a little differently, my idea from the beginning was to try my hand at designing lace elements and embellishments for paper craft and cutter designs. I had seen several designs that I liked created by others, but Inkscape seemed like the perfect tool to use for creating something of my own. Of course I don't know what techniques others may use to create their pieces. I had to do some research, and I've done a lot of experimenting and just generally playing with the idea. I wont bore you all by describing my research into historical lace patterns or any of that. ( I'm a bit of a plodder, so I tend to research almost everything) I wanted a good general idea of how old lace was constructed and used, so I could decide how to get started with drawing it. Cut-work and ecru laces seemed easiest, so I started out, by drawing some simple shapes that could represent ribbons, and simple ecru lace. Basically, cotton edging with small symmetrical holes cut out of it. My first attempts didn't look like much, but they encouraged me to keep trying. Brynn mentioned working on lace to, which lead to the discussion we're continuing here.
I really never considered the idea of trying to create lace procedurally, or algorithmically until brynn mentioned the possibility. I did try the veroni crackle extension for lacy crackles, but I just didn't like the result. I'm still fairly new at all this, and don't understand those extensions well enough to make good use of them. So... I started out trying to draw whole pieces of lace edgings.

I quickly discovered that this was leading me to make small errors in the pattern repeats, and I wasn't lining things up properly, or reproducing the same shapes every time. Eventually I came up with a pattern segment I could clone, and join without ruining the overall lace pattern , so thats what I'm working with now. here is a screenie of the lace edging, before anything is done to change it.

Sorry for the poor quality of the image. I'll replace it with a better one soon. I think it's enough to give you an idea of what I'm doing though. I removed the fill, so you can see the details of the stroke. As you can tell, the ends of one version of the unfinished lace still have to be patched, where the cuts leave open places. I didn't post earlier tries at lace, since I wasn't happy with them. I can upload some screen-shots of later attempts, and problems with creating curved borders and shapes, like Ovals and hearts in a later post. Brynn, I'll upload the Svgs as soon as I can. I didn't make any screen-shots of the wild things that happened to this lace when I tried to make it into a lace heart, but I haven't given up on the idea, and will continue trying.
Flamingo lady,
I love your lace doily. You mentioned not being able to use Path> difference for cutting shapes that have been grouped, from your basic object. It's true you can't do that, but you can use Path>union to turn all the shapes into a single path. Once that is done you can use path>difference to cut with them. So long as the objects you want to group don't touch, path>union wont change them when they are joined.
Brynn,
Wow, Your work with the L-system was really something. I keep going back to look at it. It must have taken a lot of time to work out the formulas. You said you gave up on L-system for this purpose, and I think you're right that it isn't well suited. L-system is wonderful for creating organic plant forms, and the possibility of randomness and the unpredictability of the result is a plus there. It's just frustrating to try and use it for something like this. I want to see some of your spirograms now.

I have stolen time to visit the forum at the end of a very long day, so thats it for this post.