Here, I've added the draggable complex point q through which there's a unique equiangular spiral going through (1, 0) and with "collapsed radius" of 1. By
Here, I've just used the unit normal vector to thicken the border of the main triangle to distinguish it from the sub-triangles (thinner, colored borders).
I'm not exactly sure why this is working, but I've finally got overlapping stripes to show how the positive area (in this case, the yellow triangle outside