I'd like to use the above shape as an interaction mechanism. The only problem is that I don't know exactly how to generate it. I mean, I can create something a lot like it if I use several different shapes and tack them to each other but I'd like something better. This is similar to the Heart Shape mechanism where I wanted something that looked like a heart and I came up with the right polar function. I'd like something similar here.
Here I want an interaction mechanism where the menu option closest to the mouse follows the mouse around, just like with Pie Shape but the only motion I want from the other menu options is for them to move to larger radii, while staying at the same angles. Although this one is easy to implement, it doesn't look like it would be any better than the interaction mechanisms I already have implemented. In fact, I'd wager that it would be worse. It would be faster though.