[QUOTE=Alice;44014]No, the one I find most attractive is the one that's drawn as one continuous line. A simplistic example of what I'm talking about can be seen here: http://upload.wikimedia.org/wikipedi...x-Octagram.png

Yes, that's the one. Also known as the {8/3} star octagon. It can be formed by connecting every third point of a set of 8 until you return to the first. Since 8 and 3 are relatively prime, this forms a continuous line. It's sometimes used as a sort of "stealth-pent," standing in for the more recognizable Moorcock chaos symbol when the actual symbol would attract too much attention. It has no chaotic associations that predate 1960.

The octagram that looks like two squares is the {8/2} polygon, formed by connecting every other vertex. Since 8 and 2 share a factor, it cannot be drawn as a unicursal. Note, however, that the {8/2} can be seen in the middle of the {8/3}. This is what makes the {8/3} the second order stellation. All regular stellations can be formed by extending the sides of their corresponding polygon and noting where they intersect again.