I deliberately moved the phase becuase I liked watching the resolution into the stable figure, but nothing is proscribed. It is a great thing to play with and there are many possibilities. Similarly with the refreshing of the loops. you can adjust this so that the sustained note is finishing before the refresh which allows the pattern to collapse inwards.
Previously I played with lissajous figures quite a lot using the modified ssynth defiintiions produced by @emlyn I did some work using TouchOSC to control the synths producing a wide range of patterns. see the thread here
I hope to do something similar with SP5 now that Sam has added the facility to have sine waves with a fixed (although variable) phase difference.