R. Patmaningrum, H.P. Lestari
Hyperbolic geometry was a geometry based on Hyperbolic Parallel Postulate. The purpose of this research was to describe the model of basic objects, concepts of triangles and polygons, as well explain types of polygons in hyperbolic geometry used the Beltrami-Klein model. The research method was literature study, it studied the definition and axiom were related to Euclid geometry and hyperbolic geometry such as point, line, triangle, and polygon. The result of this study was: 1) The plane model for Beltrami-Klein model is a γ circle. The object of geometry such as Klein points was expressed as a dot, Klein lines was expressed as part of Euclid lines that contained in a γ circle, Klein distances and Klein angles has the same presentation as Euclid distances and Euclid angles. 2) The Klein triangles have different concepts from the Euclid triangles. 3) The Klein polygons were defined as a combination of Klein segments, Klein rays, or Klein lines that was foreign to each other and have n different Klein points that was not collinearities. 4) The Klein polygons were divided into two types, the ordinary Klein polygons and the asymptotic Klein polygons. © Published under licence by IOP Publishing Ltd.
S1 Mathematics Study Program, Department of Mathematics Education, Universitas Negeri Yogyakarta, Indonesia; Department of Mathematics Education, Universitas Negeri Yogyakarta, Indonesia
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