Existent transmutation circles

Simple wind

The symbol in the middle is the old symbol for air. It indicates that the stuff brought to the middle of the circle has to be air.
The two circles allow a better control, since the air will flow into the inner one while sucked in from the outside.
The square indicates that a change of place is made. Both the air and the object where the wind hits will move.
The spiral directs the wind towards the center of the circle. If it goes counterclockwise, like the one above, the wind will move away from the array. In the counterpiece, the spiral goes clockwise and the wind will blow towards the circle. This is due to the coriolis force, which originates of the earth's turning movement and causes the wind on the northern half of the earth to turn clockwise.

Kassandra has this transmutation circle tattooed on her forehead, which, when activated will blow her hair back and avoid that rain falls into her face or eyes. It doesn't work under water though, since the air used for the wind that blows away of her face is sucked from below. It also sucks in her breath though, so it will do a good job at keeping her face warm as well. It might also divert knifes or other objects thrown at her face. Depending on their speed and weight it can divert them to avoid her face completely, to do less damage than it would have or it could just have no effect. For example, it could only trail off bullets that allready lost enough speed. Though they must have been fired from very far away and it is most likely that they wouldn't have hit her anyways. But paper planes would never hit her face since they get trailed off by the slightest breeze.

Flying right hand:


Flying left hand:


The principle is the same as for the simple flying transmutation circle. The second square halps to have greater control over the movement of the own body. The two extra circles add more pressure to the air which makes the wind blow stronger. Otherwise it wouldn't be strong enough to lift a person. They also allow enough control to regulate how strong the wind blows. The extra air symbol on top works as an amplifier and the wings allow to fly; just like Roy Mustang also has two extra symbols for fire on his gloves (the flames at the top and the salamander) to amplify his power.
The transmutation circles work on gloves or as tattoos, though tattoos are highly recommended. You don't want to risk the left hand array to pull of your glove in mid-air...

To fly, Kassandra puts her hands together and the circles activate at the same time. Then she turns her hands, the right palm must face upwards and the left on down. This way she can rise into the air. One circle woulds't be enough, since it would take a lot of energy to carry her up and she would have no stability in the air and would barely be able to steer or to land safely. But even with both arrays it was hard to master the control of the wind and it usually takes at least a year of daily practice until you can call yourself a good flyer. And it is still hard or impossible to fight in the air, since you need you hands and kicking could make you loose your balance.

The first transmutation circle is the one that is also used by the Elric brothers in one of the first scenes. It has two squares, allowing to reshape earth and simple matter easily. You have to know what it's made of though, and can only reconstruct the physical aspects. Like making a stone wall rise from the ground. The two cricles make it possible to control the matter and give it any shape.

The second circle is for creating a spark. The basic shape is a triangle, since the transmutation is based on energy. The triangles edges reach out of the inner circle, so that the spark can also light up things outside it. In the lower part of the triangle, two fire runes are and in the upper part the air rune. This means that the fire is supposed to heat up the air in order to create sparks. Since the air consists mostly of nitrogen rather than oxygen, the reaction is endothermic. This means that it is needed to constantly add energy in order to continue creating sparks. The low oxygen density in the air are one erason why the air rune is smaller. the other is that, if it connected with the fire runes, a fourth triangle would have formed in the middle, representing water. that way, the transmutation circle would have been just plain useless.

This transmutation circle can make it rain. It also has two circles, so that the array can exit the inner one to make it possible that it also rains outside the circle.
The array looks similar to the one on Roy's gloves. This is because it inspired me and because they follow the same principle. This one has two air triangles at the bottom and two water triangles at the top. It separates the water from the air, given that there is a certain humidity. This way the water can from drops that will fall if they get too big. The reason why I used two triangles for each element is not just aesthetic, but the same reason for Roy's fire array: on a second plane, there are the same two triangles (Picture coming soon). This makes the circle more powerfull. The water symbol in the middle indicates that the water is supposed to fall down and the drop at the top just tells the form that the water will naturally take when falling.

This ability has no use for fighting (unless powered up or used against the flame alchemist xP) but can water a plant and gain water if the clima is not very dry. You can also wash the ground or yourself, because the water will be as clean as it can get. Maybe it even tastes better than regular drinking water.