For most of the past year, I've called this trick a trifoil or antispin flower hybrid, yet somehow overnight the terminology switched to triquetra and I didn't know why until Nick Woolsey posted his latest online tutorial.
The source of the name is interesting to me--especially given that I grew up in a Lutheran church (well, not literally) and triquetra patterns could be found all around. Catholics tend to like their iconography, such as the crucifix and many pictures/paintings of saints and holy people while Protestants tend to wind up with more abstract patterns in their churches. After viewing Nick's vid, I went and checked up on what wikipedia had to say about triquetras and found this helpful article:
http://en.wikipedia.org/wiki/Triquetra
Among the interesting tidbits in it is a fascinating figure that's got my creative juices flowing that includes a triquetra knot in four corners of what looks to me like a four-petal antispin flower. If indeed I'm right in this assessment, I reckon it should be possible to do this figure with poi. As each corner looks like it represents 3/4 of a full circle, my theory is that by stopping at each corner and waiting till the poi is in that 3/4 position before moving on to the next corner, a body can render this knot. Essentially this means that you'd be stopping your hand to let the poi catch up at each corner and then moving it swiftly past the nearest compass point. I'll do a vid if this approach works.