The platonic solid that has pentagons for faces is the dodecahedron. It consists of 12 regular pentagonal faces, 20 vertices, and 30 edges. The dodecahedron is one of the five Platonic solids, which are characterized by their faces being congruent regular polygons meeting at each vertex.
triangles and pentagons
The faces of Platonic solids are regular polygons...
Equilateral triangles, squares, regular pentagons.
A tetrahedron.
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.
Dodecahedron
triangles, squares and pentagons.
A Platonic solid.A Platonic solid.A Platonic solid.A Platonic solid.
equilateral triangles and regular pentagons
triangles and pentagons
No. All the faces of a Platonic solid are identical regular polygons.
The faces of Platonic solids are regular polygons...
Equilateral triangles, squares, regular pentagons.
dodecahedron
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
Icosahedron.
A tetrahedron.