There are different types of fracture, such as:

* Conchoidal fracture: A smooth, curved surface resembling a seashell, like in obsidian.

* Hackly fracture: A jagged, uneven surface, common in metals.

* Fibrous fracture: A splintery, fibrous surface, often seen in asbestos.

* Irregular fracture: A rough, uneven surface with no defining pattern.

The absence of cleavage indicates that the mineral does not have planes of weakness along which it can break. Instead, it breaks randomly due to the strength of the bonds between its atoms.