Isosceles subtriangle in the regular polygon. (Gleichschenklige Teildreiecke im regelmäßigen Vieleck.) (German) Zbl 1251.51004
The author deals with a problem concerning isosceles triangles in regular \(n\)-gons where \(n\) is an odd number. The triangles lie in the so-called main diagonal triangle. One can find a nice truss model, too. A similar problem for even \(n\) is considered. The author also constructs a special network of rhombuses in regular \(n\)-gons.
Reviewer: Agota H. Temesvári (Pécs)
MSC:
| 51M20 | Polyhedra and polytopes; regular figures, division of spaces |
| 51M04 | Elementary problems in Euclidean geometries |
| 97G40 | Plane and solid geometry (educational aspects) |
References:
| [1] | Gericke, H.: Mathematik in Antike, Orient und Abendland . Teil I, Matrixverlag, Wiesbaden 2005. |
| [2] | Coxeter, H.S.M.: Introduction to Geometry . Wiley Classics Library, 2. Edition 1989. · Zbl 0095.34502 |
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