Her Name was a Dream
...No one dies a virgin, life is gonna fuck everyone...
Isolations while balancing
You can do any of the isolations normally done in Middle Eastern Dance while balancing a scimitar. There are some isoltions that are more interesting wen you balance the scimitar on other parts of your body. Try balancing your scimitar on your head first, try doing shimmies (shoulder and hip), hip lifts, hip circles, undulations, etc... you will find that the moves are essentially the same, the difference is that you need to keep your head as steady as possible. If you don't notice much difficulty balancing the scimitar while doing the moves then you have your isolatioins down really well. Another place to balance your scimitar while doing isolations is on your shoulder, if you lift your arm it will create a crevice which will help hold the sword. You can balance the sword on your chest altough it will only stay if your lying down or doing a backbend. Try balancing your scimitar on your hand, it will balance best if it is placed below the knuckles on the back of the hand. Then you can try balancing you scimitar on your hip. You can balance the scimitar on the stomach if your lying down or bending way back but never standing. You can also balance the scimitar on the top of your thigh if lean back far enough touching the foot to the floor or if your kneeling down on one knee.

Special moves for floor work
Some special things you can do with floor work and a scimitar are... the inch worm balancing the sword on the chest or stomach, lying on the floor doing flutters or rolls with the sword balanced on your stomach (when doing rolls you can actually use them to roll the scimitar down your stomach), turning with the sword balanced on your head, hip circle with sword banced on head, Cleopatra with sword balanced on the hip, leaning back into an undulation with sword balanced on cest, etc... Play around with it and you may find some other interesting moves.

Spining, Twirling, and Turning
Figure Eight Swing
This is done holding the scimitar in both hands and then swinging it down towards the hip, back around and up over head, then swinging down towards the other hip, back up and over head.
One Hand Twirl
Start with one arm out in front of you balancing the sword on your hand. Now while bancing the sword flip your hand over so that the sword is now in your palm as opposed to the back of your hand. Now turn the hand inwards all the way around till you can no longer turn either hand nor arm. Then, raise the arm and sword around and over the head (this should naturally cause the arm to un-twist, if it doesn't then your going the wrong way) and back down the side and around in front.
Balanced On Head Turn
This is actully a lot less complicated then it may seem. If you have tried turning with a scimitar on your head you have probably found that it doesn't start the turn at the same time as you do and that usually leads to it veining or falling off your head. Well, this will help you to turn much easier. If you will be turning to your right (clockwise) you will start with your right arm up. If you will be turning to your left (counter-clockwise) you will start with your left arm. Now most of at least know some of the basic elements of physics such as "a body in motion will stay in motion" and of course vice-versa. So when you turn you rase your arm that way the sword will get it's little push, so to speak, so it can "stay" in motion. After the initial turn you may lower your arm if you want. When you wish to stop you simply raise your other arm that way your sword(which is still in motion) will be forced to stop with you.
Balanced On Shoulder Turn
This is fairly simple, all you do is balance the sword on you shoulder, raise your arm for extra support and your ready to turn. However, you should start the turn slowly to get the sword in motion or it will lose it's balance. After the initial tun you can speed up.
Basic Egyptian With Scimitar Balanced On Hip
Just balance the scimitar on your hip and do basic egyptian. The only catch is, you will have to do it much slower than usual to keep the sword balanced.
Airplane Turn
This is done by dipping the sword down in the front and lifting up in the back.
Circle Over Head Turn
With the scimitar in both hands over your head make a horizontal circle keeping it parallel to the floor. Now you can turn around yourself doing this. It will look even better if you can get your body to make hip and/or rib circles in the opposite direction while doing this.
Helicopter Twirl 1
Simply twirl the sword by it's hilt in a circle above your head like a helicopter blade.
Helicopter Twirl 2
This is nearly the same as the above mentioned twirl except in this one you hold the hilt so that the blade comes down in around you. It will make a rounded cone like shape as you twirl it.

Other
There are many other things you could do with a scimitar so play around with it and see what you can do but remember to keep slicing and dicing movements to a bare minimum, audience may feel threatened by such moves, if you do them, do them at a distance and not directly at anyone. Some other things that are done wih this prop are backbends which are done by resting your scimitar on your chest as you lean back.