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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 shape has 12 edges and is a polyhedron and each face is a triangle?
Octogon
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.
How do find the volume of a polyhedron?
first, find the volume of each shape that is in the polyhedron. then you add all of them together.
Is a truncated isocahedron a regular polyhedron?
No. It is a semi-regular polyhedron. Explanation. The truncated icosahedron is a polyhedron that can be constructed from an icosahedron with the 12 vertices truncated (cut off) such that one third of each edge is cut off at each of both ends. This creates 12 new pentagon faces, and leaves the original 20 triangle faces as regular hexagons A regular polyhedron is a polyhedron whose faces are congruent regular polygons. The truncated icosahedron is NOT a regular polyhedron, it is a semiregular polyhedron. It is a uniform polyhedron.
Shape has 4 faces its a polygon each face is an equilateral triangle?
The figure described is a polyhedron. It is a tetrahedron known as a triangular pyramid.
What is the shape that has the highest amount of faces?
Since you use the term "faces" of a shape, you may be referring to polyhedra,which are three dimensional solids. There is no maximum number of faces a polyhedron can have. But for regular polyhedra (a special case where all faces are congruent regular polygons), the regular polyhedron with the most faces is the icosahedron, which has 20 faces, each of them an equilateral triangle. The most familiar regular polyhedron is the cube which has six square faces.
Is an icosahedron a semi-regular or regular polygon?
An icosahedron is in fact not a polygon at all, but a polyhedron. As a polyhedron it is regular however. The regular icosahedron is one of only five possible regular polyhedra. It has 20 faces, each of which is an equilateral triangle.
What fundamental structural unit is an octahedron?
An octahedron is a three-dimensional geometric shape with eight faces, each of which is an equilateral triangle. It is a polyhedron with eight vertices and 12 edges.
What is a polyhedron?
A polyhedron is a three dimensional figure made up of sides called faces, where each face is a polygon.
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 shape has 12 edges and is a polyhedron and each face is a triangle?
Octogon
What shapes does a tetrahedron have?
A tetrahedron is a four sided polyhedron. Each face is a triangle. If it is a regular tetrahedron, then each face is an equilateral triangle.
What polygon is each face of a cube?
A cube is a regular polyhedron, and each of the six faces of a cube is a square.
What is a solid that is bounded by polygons which are called faces?
It's a polyhedron. A polyhedron (plural: polyhedra) is a three - dimensional figure made up of sides called faces, each face being a polygon.
What is the shape of tetrahedron?
A tetrahedron is the smallest possible polyhedron: a closed 3-d shape with polygonal faces. It has 4 triangular faces, 4 vertices and 6 edges. It is also known as a triangle-based pyramid.
