Certain embodiments utilize carpet tiles of varying sizes and/or shapes that are connected together using connectors to form a carpet tile installation. In some instances, the carpet tiles used in the carpet tile installation have different colors, patterns, shapes, and/or styles. In some embodiments, carpet tiles of a standard size and shape, such as one-half square meter carpet tiles, are partitioned into carpet tile fractions. In certain embodiments, these carpet tile fractions are used in conjunction with larger carpet tiles in a carpet tile installation. In other embodiments, these carpet tile fractions may be connected to other carpet tile fractions to form a combination carpet tile that is then used in a carpet tile installation. Among other things, the use of different sized and/or shaped carpet tiles increases the randomness or diversity and/or improves other aspects of the appearance of the floor coverings formed by the carpet tile installations.