Yeah, I like math once you get past numbers. Arithmetic was never my thing though. Symbols are way better than actual numbers! My favorite classes were geometry, calculus and differential equations. Just don't ask me to do anything anymore. I probably couldn't solve an integral to save my life. Too bad.
Here is some basic geometry:
circumference = 2πr
therefore circumference is directly proportional to radius
What does this have to do with lace? Quite a bit, actually. I am working on a tatted doily with two rounds of rings and chains. In this case, the rings face inward and are connected to each other and thus determine the size of the radius. The chains leave more wiggle room. The doily I am working on has the exact size rings and chains for 2 rounds! I'm not about to drive why that wouldn't work but I think if anyone thinks about it, it becomes quite obvious that something needs to change!
The way I saw it, I had three choices:
a) tat the first round really tightly and the second one loosely
-that would not work on so many levels, I don't want to go into too much detail. Suffice to say that unless I *need* to tat loosely (like with metallic thread reminding me constantly), I will tat tightly.
b) change the stitch count
-too much work. I don't want to fool around and hope that the two rounds will be OK. I will cut out a mistake, but I will not cut out a whole round.
c) do not connect the rings in the second round
-that's the option I chose. This way, the circumference of the second round can be larger and thus prevent bowling.

If you take a closer look at the picture you will see the problem. You can see that the picots barely touch. If I had connected the rings, there would have been severe bowling.
In most cases bowling is due to different tension/picot size etc. However, in this case I suspect the doily is doomed to bowling no matter what (if you follow the pattern exactly as written). Again, I could probably come up with some mathematical explanation, but it's probably unnecessary:) The exact same stitch count across two rounds will not give you a nice radial rings. It will give you two strips of the same size. I had to read over the pattern several times to realize that indeed, the two rounds are identical. This is why it pays to read the directions and think about them a bit before blindly starting. (Although I have to admit I usually blindly start tatting...)
This is my "big" project now. Not for its size (although it is, or rather will be big), but because it's mu current focus.
It's Friday! Hope everyone has a nice weekend. Looks like the weather will be perfect to rake:)