equilateral triangles and regular pentagons
A platonic solid is a special kind of polyhedron. A polyhedron is a 3-D figure whose faces are polygons.In a platonic solid all faces are identical regular polygons. A polyhedron has faces, edges, and vertices. The numbers of each are related by Euler's formula, V+F=E+2
WHat is the difference between polyheron and platonic solid
A trapezoid is not a platonic solid. There are only five platonic solids. They are the tetrahedron, hexahedron, octahedron, dodecahedron, and icosahedron.
True...
None.
Equilateral triangles, squares, regular pentagons.
triangles, squares and pentagons.
No. All the faces of a Platonic solid are identical regular polygons.
The faces of Platonic solids are regular polygons...
The polygons are the equilateral triangle, the square, and the regular pentagon. The faces of these platonic solids are made from the following polygons: tetrahedron - 4 triangles cube - 6 squares octahedron - 8 triangles dodecahedron - 12 pentagons icosahedron - 20 triangles
triangles and pentagons
A triangle, square or pentagon.
Platonic
Its a platonic solid :)
Platonic solids are convex regular polyhedra. The faces of a platonic sold are all congruent polygons and they are all regular.The number of sides that meet at a vertex is the same for all vertices. When the sides are triangles, the platonic sold is a tetrahedron. This will NOT look the same as a cube where the sides are squares. So how the Platonic solid looks depends on the shape of its sides and very one of the five of them has different shaped sides.
There are no Platonic solids with hexagonal faces because of the geometric constraints related to the angles of regular polygons. A Platonic solid is defined as a three-dimensional shape with identical faces that are regular polygons, and the angles of hexagons do not allow for a convex arrangement that meets the required conditions for a solid. Specifically, the internal angles of a hexagon (120 degrees) are too large to fit together at a vertex in three-dimensional space without overlapping or creating a non-convex shape. Thus, Platonic solids can only be formed from triangles, squares, and pentagons.
From Wikipedia:A Platonic solid is a convex polyhedron that is regular, in the sense of a regular polygon. Specifically, the faces of a Platonic solid are congruent regular polygons, with the same number of faces meeting at each vertex. Moreover, all its edges are congruent, as are its vertices and angles.