Therefore, there are five ways to arrange regular polygons around a vertex to form a net, which can be folded to form a concave three-dimensional figure. There are three possible ways we can form a three-dimensional vertex, with equilateral triangles, squares, and pentagons. The only figures that can form the Platonic solids are triangles, squares, and pentagons. The reason for the second condition is that if the angles formed at a vertex are equal to 360°, the figures would be flat.Ĭonsidering this, it turns out that only the 5 figures known as Platonic solids meet these conditions, as we can see in the following table: Platonic solid It is one of the five platonic solids with faces that are shaped like an equilateral triangle. An octahedron is a polyhedron with 8 faces, 12 edges, and 6 vertices and at each vertex 4 edges meet. The reason for the first condition is that if only two faces meet at each vertex, it is not possible to form a closed three-dimensional figure. Why is a octahedron called a octahedron The word octahedron is derived from the Greek word Oktaedron which means 8 faced. Interior angles that meet at a vertex must be less than 360°.At least 3 faces must meet at each vertex of the Platonic solid.In turn, for this to be possible, the figure must meet the following conditions: For a three-dimensional figure to be a Platonic solid, it must be composed of congruent regular polygons.
0 Comments
Leave a Reply. |
AuthorWrite something about yourself. No need to be fancy, just an overview. ArchivesCategories |