There are about a million different gymnastics tricks and they really depend on what type of gymnastics you do. Here is a short list of some of the tricks that one can do but not nearly all:
Aerial
Back Handspring
Front Handspring
Head spring
Front/Back Flip
Front/Back Layout
Front/Back Full
Arabian
Side somersault (Sumi (sp?))
Front Aerial
Again this is just a short list. You can add multiple spins and flips to many of these such as a double back or a triple full. Gymnastics tricks have become absolutely crazy in the ability of the gymnasts.
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Gymnastics
Artistic Gymnastics
Rhythmic Gymnastics
Floor Gymnastics
Theme Gymnastic
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Indivisiual stunts on the floor would probably be a handstand, forward roll, backward roll, cartwheel, front flip, back flip, back handspring, front handspring, back walkover, and a front walkover. Indivisual stunts on the bars would probably be kips, pull overs, giants, fly aways, back hip circle, and a front hip circle. Indivisual stunts on the beam would probably be cartwheels, straight-jump tuck-jump, straight-jump spilt-jump, back walkovers, handstands, and spins.