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What do you call a polyhedron with faces that are all congruent regular polygons?
Its a platonic solid :)
What is a type of face found on a platonic solid?
A type of face found on a platonic solid is a regular polygon. Platonic solids are three-dimensional shapes with faces that are congruent regular polygons, and each vertex has the same configuration of faces. For example, a cube has square faces, while a tetrahedron has triangular faces. These regular polygons ensure that the solids have symmetrical properties and are highly structured.
What platonic solid has pentagons for faces?
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.
There are only three types of polygons that can be the faces of a Platonic solid. They are and .?
The three types of polygons that can be the faces of a Platonic solid are equilateral triangles, squares, and regular pentagons. These polygons must be regular, meaning all sides and angles are equal. The unique arrangement of these faces gives rise to the five distinct Platonic solids: tetrahedron, cube, octahedron, dodecahedron, and icosahedron. Each solid has faces that are identical and meet at each vertex in the same way.
What are examples of platonic solids?
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. They have the unique property that the faces, edges and angles of each solid are all congruent. Some examples are bricks, a dice, tissue boxes and houses.
Is a cylinder a platonic solid?
No. All the faces of a Platonic solid are identical regular polygons.
What do you call a polyhedron with faces that are all congruent regular polygons?
Its a platonic solid :)
What is the definition of a platonic solid?
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.
What platonic solid has pentagons for faces?
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.
What are the three types of polygons that can be faces of a platonic solid?
triangles, squares and pentagons.
What are examples of platonic solids?
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. They have the unique property that the faces, edges and angles of each solid are all congruent. Some examples are bricks, a dice, tissue boxes and houses.
Why isn't a cubeoid a platonic solid?
Quite simply, it doesn't fulfill the requirements for a "platonic solid", which include the requirement that all bounding areas must be regular polygons. A square is a regular polygon; a rectangle is not.
What are the three types of polygons that can be the faces of a Platonic solid?
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
What is meant by the word face in terms of platonic solid?
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
Why is a tetrahedron a platonic solid?
Because a tetrahedron is a triangular based pyramid that has 4 identical faces and 4 faces meet at all the vertices.
What solid figure has flat faces that are polygons?
A solid figure that has flat faces that are polygons is called a polyhedron. Polyhedra have various forms, such as cubes, tetrahedra, and octahedra, each defined by the shape and number of their polygonal faces. The faces of a polyhedron are connected by edges, and the points where the edges meet are called vertices. Examples include regular polyhedra, where all faces are identical polygons, such as the Platonic solids.
What are the three type of polygons that can be a platonic solid?
Equilateral triangles, squares, regular pentagons.
