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One important feature of worm gear meshes is their complex geometry and now the application of computer aided design allows for mapping their real construction patterns with great affinity. Modelling of worm meshes with the use of CAD (Computer Aided Design) and CAE (Computer Aided Engineering) methods enables tracking the design process from the very beginning, i.e. from the concept or specific assumptions, until the final stage only by using appropriate software, thereby lowering the costs and eliminating common errors. Owing to this, just before the manufacturing process of the first meshing elements begins, one can conduct geometric analysis and correct or modify working profiles of the teeth in order to improve the operation properties of future gear. Visualizing such a geometric modelling process can also serve didactic purposes when used in education of future engineers, technologists and operators of this type of gears.