Folding gymnastics mats are excellent for somersaulting or doing cartwheels. They even make a great aid in different conditioning drills that involve hopping, balancing on an edge, or even assisting in learning to standing up from a seated or reclined position, as you can fold them into varying heights of 1-2 inch increments.
When working on techniques that involve torso bending and arching, another vinyl-covered mat works best - octagon mats. These mats come in several different sizes to accommodate the height of the gymnasts. These mats are also used as harmless obstacles for leaping, and tools for rolling.
Incline Wedge Mats
Skill Cushion Mats
All three of the previously mentioned mats are relatively firm. If you are looking for protection from hard falls, a thicker and softer skill cushion mat is the way to go. In most cases you'll want a ''fluffy'' mat that is around 1 foot or thicker and will disperse the majority of impact of a fall, preventing injuries while learning to fall or land properly. These mats are often used for dismounts off of bars or vaults.
While all of these mats are great for gymnastics, make sure you know how you'll be using them before you choose. Using the wrong mat can not only make training harder, but could actually cause injury when used for the wrong purpose.