In this work the possibilities of plain tessellation design are investigated. The structure of tessellation is extremely complicated therefore their creation without computer is difficult and requires special knowledge. Specialized computer software may be successfully used as an efficient instrument in this design process. This investigation consist of: § The history of tessellation § Types of tessellation § Tessellation of Escher type § Practical applications of tessellation § Computer software for tessellation design In this work the computer program for tessellation design and some experiments are presented. Appendixes contain the examples of created tessellation and program code.