The first variation is with double-paradiddles. I've always leaned more heavily towards paradiddlediddles than double-paradiddles, so I've been trying to drive the latter into my playing more lately, which is how this variation came about.
The sheet below is a perfect example of why you should know this piece. It's a mess to look at. I've written it all out in case you don't know it, but if you do have it memorized all you need to do is play any beat with an accent on the beat or no accent at all as a double paradiddle, like so....
....and play any beat with an accent on the upbeat with this sticking:
It would probably be a little more true to the original if those upbeat accents were on the fifth 16th note instead of the sixth, but I just felt this had more of that Philly Joe soloing kind of vibe to it.
Try the whole thing off the left hand, too. More variations to come soon. Have fun.