Carpet

Carpets are thin blocks used for decoration. They are the same thickness as pressure plates. They are useful if you want a carpeted floor without using wool blocks as the material. They have a negligible hitbox, allowing a person to walk over them without elevating $1/16$ of a block. This is similar to how pressure plates work, although you cannot fall through a carpet. Carpets can be helpful when carpeting upstairs rooms without the ceiling of the next floor down being partially made of wool.

Usage

 * Carpets must be placed on a block, and cannot be placed freely or be free-floating in the world.
 * Carpets can be pushed and pulled by pistons/sticky pistons, but will pop off if pushed onto a hole or pulled downwards.
 * You can craft Carpets by placing two blocks of wool of your desired color next to each other. This means that you do not need a crafting table to make them.
 * Carpets cannot be crafted with two differently colored wool blocks.
 * Carpets can break falling sand and gravel.
 * Carpets can be used as a safer alternative to decorative flooring, as wool is flammable, but interestingly, carpets are not.
 * Carpets are a more efficient alternative to flooring than full wool blocks.
 * Carpets do not prevent mobs from spawning.
 * Carpets placed above, or around, mushrooms growing naturally under trees will break the mushrooms if the mushroom is in a high light level, but will not break the carpet, leaving a floating carpet.
 * Carpets can be used to hide redstone wiring, pistons, hoppers, dispensers, and droppers.
 * Carpets can be placed on fences and walls allowing you to climb over them.
 * Carpets can be placed over water so that it can be walked on but still allow crops to be saturated and prevent items from falling into the water when crops are harvested.
 * You can use any "non-full" block (such as tripwire, redstone, slabs, or other carpets) to achieve a floating carpet.

Trivia

 * It is possible to use them to make a more realistic table by placing them on fence posts next to each other. However, you still can't put blocks on the table.
 * By putting carpet on a fence post, as mentioned above, one can then walk on top of the fence post by jumping, whereas normally one cannot jump on top of a fence post from the ground next to it. This is, because while the fence is normally counted as 1.5 blocks high and the player being only able to jump up about 1 block high, the carpet is counted as being just one block high, allowing you to jump onto it, then walk onto of the fence (directly under it, however who's hitbox protrudes through the carpet) from the carpet. This also creates the illusion of flotation, however only by about half a block.
 * Carpets have a bottom texture.
 * Carpets can be destroyed by fluids.
 * Carpets are not flammable.
 * When you place blocks on it, those appear a block above the carpet—like other partial blocks, carpets "claim" the entire block.
 * Unlike Pressure Plates, carpets cover the entire square they are placed on.
 * Carpet is an opaque block, however, it does not decrease light going through it. Undead mobs like zombies burn underneath it in the daylight.
 * Carpet allows light to pass through it. Therefore, placing carpet on a pool of lava will allow you to walk across without losing light. (At the risk of being occasionally set aflame!)  This also allows hiding  house lighting in the floor, rather than taking up wall, floor, or overhead space.  Jack-o-lanterns are often used as a hidden light source that is considered both useful and visually appealing.
 * If the player sprints across carpet, the particle effects are those of the blocks that are directly below it.
 * Orange & blue wool blocks gathered from desert temples sometimes will not work for carpet crafting in the initial 1.6 release.
 * If the player puts a carpet on top of a bed and then sleeps in it, it will appear as if the player is underneath a blanket.
 * Carpet can be built on other carpet blocks, as well as pressure plates, beds and fences. If the block underneath the carpet block is removed, the carpet will be dropped.
 * If you place carpet next to a block such as wooden planks, if you walk on the very edge of the block, over the carpet, you will hear the wool footfall sound.
 * Carpets will retain qualities from blocks they are placed on top of such as Ice (Slippery) and Soul Sand (Slows Down).
 * Carpets do not have their own texture, rather they borrow from the texture(s) of wool.
 * Carpets do not appear to be in your hand. They are in fact there, but they are too low down to appear on the screen.

Gallery
Teppich Tapis カーペット Carpet Dywan Ковёр 地毯