Original scientific paper

Regular Polygons in the Projectively Extended Hyperbolic Plane

Ivanka Babić ; Polytechnic Zagreb, Zagreb, Croatia
Ana Sliepčević ; Faculty of Civil Engineering, Zagreb, Croatia

Abstract

Regular, semi-regular and polygons with right angles are constructed in Cayley-Klein’s model of the projectively extended hyperbolic plane (H-plane). Some of the construction are analogous with the Euclidean ones. The ones for which there are not Euclidean analogues are carried out in original way characteristic for a H-plane. The construction of the defect of an equilateral triangle is of a special inte-
rest having the construction of the regular heptagon as its consequence.

Keywords

hyperbolic plane; regular polygons; orthogon

Hrčak ID:

19901

URI

https://hrcak.srce.hr/19901

Publication date:

14.2.2008.

Article data in other languages: croatian german

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