The diploma thesis deals with frieze groups. In the Euclidean space under the Euclidean metric, it defines the set of all isometries and then deals with the most basic cases of such isometries (them being translation, rotation and reflection). Using compositions of translations, rotations and reflections, it then presents all the frieze groups. The goal of the diploma thesis is to classify frieze groups and prove that there are exactly seven geometrically different types of them.
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