Geodesic
Pentagon from Side Using the Internal Golden Section
Journal for geometry and graphics, Tome 25 (2021) no. 2, pp. 295-3.

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 51M04, 51M05
Mots-clés : Pentagon, construction, side, golden section 
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     author = {G. Asti and L. Asti },
     title = {Pentagon from {Side} {Using} the {Internal} {Golden} {Section}},
     journal = {Journal for geometry and graphics},
     pages = {295--3},
     publisher = {mathdoc},
     volume = {25},
     number = {2},
     year = {2021},
     url = {http://geodesic.mathdoc.fr/item/JGG_2021_25_2_JGG_2021_25_2_a11/}
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G. Asti; L. Asti . Pentagon from Side Using the Internal Golden Section. Journal for geometry and graphics, Tome 25 (2021) no. 2, pp. 295-3. http://geodesic.mathdoc.fr/item/JGG_2021_25_2_JGG_2021_25_2_a11/