I was just noodling around and I came upon this image. I spent HOURS with a Spirograph when I was a girl...
Barbies were so boring, card games were ok, but this cool thing, well, I loved it! What about you? What were your favorite childhood toys?
File:Various Spirograph Designs.jpg - Wikipedia, the free encyclopedia

I loved’em too but was too young to understand the math behind it
I was too young at that time as well! Alan Kay (XO, etc..) postulates that math / science understanding can come first visually and then conceptually and then procedurally and I agree – do you?
I had one too when I was a kid, probably something my parents gave me as opposed to something I thought up on my own. Like the earlier comment, just loved to use it without worrying about the math behind it.
I suspect it probably helped prepare me (unknowingly) for computer programming since it occupied my time going around in circles and ending up in the same place I started. 🙂
I too spent hours trying my own combinations and trying to emulate what was in the booklet. This was one of my favorite toys!