Carbon is an element that is known to have a wide range of allotropes, which are different forms or arrangements of the same element in the same physical state. Here are some examples of carbon allotropes:

1. Diamond: This is the hardest known naturally occurring substance, and is made up of carbon atoms arranged in a crystalline lattice structure. Diamonds are highly valued for their beauty and durability, and are used in jewelry, cutting tools, and industrial applications.
2. Graphite: This is a soft, black, flaky substance that is used as a lubricant and in pencils. Graphite is made up of layers of carbon atoms arranged in hexagonal rings that are loosely bonded to one another.
3. Fullerenes: These are spherical or tubular structures made up of carbon atoms that are arranged in a three-dimensional lattice structure. Fullerenes have unique electronic and physical properties, and are used in a variety of applications, including drug delivery systems and solar cells.
4. Carbon nanotubes: These are cylindrical structures made up of carbon atoms that are arranged in a lattice structure. Carbon nanotubes are very strong and have unique electronic properties, and are used in a wide range of applications, including electronics, energy storage, and nanotechnology.
5. Amorphous carbon: This is a form of carbon that has no specific crystal structure, and is found in materials such as coal, soot, and charcoal. Amorphous carbon is used in a variety of applications, including water filtration and air purification.

There are many other carbon allotropes, including carbyne, carbon black, and carbon fibers, each with its own unique properties and potential applications.