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What shape has 12 edges and is a polyhedron and each face is a triangle?
Octogon
What is the difference between a polyhedron and a regular polyhedron?
A Polyhedron is a closed plane figure whose faces are portions of planes. Prisms and pyramids are examples of Polyhedron's. While a Regular Polyhedron is a Polyhedron whose facces are all regular Polygons and whose Vertices are all alike. There are only five Regular Polyhedron's: Tetahedron , Octahedron , Icosahedron , Hexahedron , and Dodecahedron .To clarify, there are five known Platonic Solids: regular polyhedrons which are convex on all their vertices.The tetrahedron is also known as the triangular pyramid: a regular one has an identical equilateral triangle for each of its four faces. This is the one Platonic solid which is self-dual, as each face has three sides and each vertex joins three edges.The regular hexahedron is better known as the cube: each of its six faces is a square, and each vertex joins three edges. Its dual counterpart is the regular octahedron. In this case, each of its eight faces is three-sides (an equilateral triangle) and each vertex joins four edges. To picture the octahedron, think two square pyramids mated on their square faces, leaving only the triangular faces.Finally, there is the regular dodecahedron (12 faces), which is composed of regular pentagons (five sides). Each vertex again joins three edges. Its dual counterpart is the regular icosahedron. It has 20 triangular faces, and each vertex joins five edges.
What is the name of a shape with 8 faces?
A shape with 8 faces is called an octahedron. An octahedron is a polyhedron with eight faces, each of which is an equilateral triangle. It is a three-dimensional shape that is commonly used in geometry and mathematics.
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
A has twice as many edges as faces.?
Well, isn't that just delightful! It sounds like A is a special kind of shape called a polyhedron. You see, in a polyhedron, each edge connects two faces together. So if A has twice as many edges as faces, it must be a very harmonious shape with a lovely balance between its edges and faces.
