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Journal for Geometry and Graphics 25 (2021), No. 2, 295--300
Copyright Heldermann Verlag 2021

Pentagon from Side Using the Internal Golden Section

Giovanni Asti
20067 Paullo, Milan, Italy

Laura Asti
20067 Paullo, Milan, Italy

A new construction of the pentagon starting from the side is presented. Differently from other versions that are already described in the literature it uses the internal, and not external, golden section. This is a point of strength from the educational point of view, as it shows another possible pathway to create a regular pentagon, helping the students to train their minds to consider many different possibilities in the geometrical constructions. Its Geometrography complexity and inexactness are within the ranges covered by the most famous constructions from the circumscribed circle, and comparable to those of the most commonly taught one from the side.

Keywords: Pentagon, construction, side, golden section.

MSC: 51M04; 51M05

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