The first part of the master's thesis includes the presentation of the basic characteristics of the hyperbolic geometry including all three main models and basic geometry characteristics of each model. The thesis also covers the types of tessellations and then briefly summarises tessellation of Poincare’s discus and describes the derivationof semispheric model tessellation of the hyperbolic geometry. Furthermore the course of modelling and 3D model printing is presented, spanning from regular polyhedra to tesselled hyperbolic semisphere. The derivation of projection regulations are added, which derive from shadowing of the 3D model of a tessellated semisphere.
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