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the greek phlosopher plato
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The number of Platonic solids?
There are 5 platonic solids. They are: Tetrahedron, Octahedron, Icosahedron, Cube, and Dodecahedron
Meaning of each platonic solid?
There are 5 platonic solids which are the only 5 regular polyhedra (possible).Plato attributed 4 of them to the 4 elements:Fire ≡ TetrahedronEarth ≡ CubeAir ≡ OctahedronWater ≡ IcosahedronAristotle added the fifth element "Ether" saying the heavens were made of it; he did not associate the fifth platonic solid, the Dodecahedron, to it.
What is the shape that has four congruent equilateral triangles?
The regular tetrahedron - one of the 5 platonic solids.
What is the Platonic Solid and How many are there and What are their names?
Answering your questions one at a time.1 - What is a platonic solid?A platonic solid is one with all faces congruent polygons, meaning that they all have the same number of sides, vertices and angle size.2 - How many are there?There are only and exactly five.3 - What are their names?TetrahedronCube (but when talking about Platonic solids, it is commonly referred to as a "hexahedron").OctahedronDodecahedronIcosahedronNote: These individual platonic solids can be identified by their unique Schlafli Symbol. This is demonstrated through the following:{p,q}p = Number of vertices at each faceq = Number of faces at each vertexSo for a dodecahedron, the Shlafli Symbol would be {5,3}, because a pentagon has five {5, or p} vertices, and at any individual vertex three {3, or q} faces meet.Understand? Great!
Why can t there be more then 5 platonic solids?
First, consider that at each vertex (point) at least three faces must come together, for if only two came together they would collapse against one another and we would not get a solid. Second, observe that the sum of the interior angles of the faces meeting at each vertex must be less than 360°, for otherwise they would not all fit together.
How many platonic solids are their?
There (not their) are 5 platonic solids.
What are 5 solids?
You probably mean the Platonic Solids, they are the only five shapes constructed from the same faces.
The number of Platonic solids?
There are 5 platonic solids. They are: Tetrahedron, Octahedron, Icosahedron, Cube, and Dodecahedron
What are the 5 solids?
The five platonic solids are the Tetrahedron, Hexahedronor Cube, Octahedron, Dodecahedron, and the Icosahedron
Meaning of each platonic solid?
There are 5 platonic solids which are the only 5 regular polyhedra (possible).Plato attributed 4 of them to the 4 elements:Fire ≡ TetrahedronEarth ≡ CubeAir ≡ OctahedronWater ≡ IcosahedronAristotle added the fifth element "Ether" saying the heavens were made of it; he did not associate the fifth platonic solid, the Dodecahedron, to it.
What is the shape that has four congruent equilateral triangles?
The regular tetrahedron - one of the 5 platonic solids.
What has eight faces and all the faces are equal ladder triangles?
Assuming that "equal ladder" is meant to be equilateral, the answer is a tetrahedron, one of the 5 Platonic solids.
What is the Platonic Solid and How many are there and What are their names?
Answering your questions one at a time.1 - What is a platonic solid?A platonic solid is one with all faces congruent polygons, meaning that they all have the same number of sides, vertices and angle size.2 - How many are there?There are only and exactly five.3 - What are their names?TetrahedronCube (but when talking about Platonic solids, it is commonly referred to as a "hexahedron").OctahedronDodecahedronIcosahedronNote: These individual platonic solids can be identified by their unique Schlafli Symbol. This is demonstrated through the following:{p,q}p = Number of vertices at each faceq = Number of faces at each vertexSo for a dodecahedron, the Shlafli Symbol would be {5,3}, because a pentagon has five {5, or p} vertices, and at any individual vertex three {3, or q} faces meet.Understand? Great!
What shape has 4 faces which are congrugent triangles?
A four faced figure is a tetrahedron. If they are all congruent triangles, they are all equilateral triangles and it is a regular tetrahedron - one of the 5 Platonic Solids.
How many regular convex spherical polyhedrons exists?
None, since polyhedons cannot be spherical. A regular polyhedron must be convex, so that word is superfluous. There are 5 regular polyhedra - the Platonic solids.
What are regular Platonic solids and their properties?
There are only 5 known regular Platonic solids and they and their properties are:- 1 Tetrahedron: (pyramid) 4 equilateral triangle faces, 6 edges and 4 vertices 2 Hexahedron (cube) 6 square faces, 12 edges and 8 vertices 3 Octahedron: 8 equilateral triangle faces, 12 edges and 6 vertices 4 Dodecahedron: 12 regular pentagon faces, 30 edges and 20 vertices 5 Icosahedron: 20 equilateral triangle faces, 30 edges and 12 vertices All of them can be inscribed inside a sphere.
How many Platonic Solids are there?
There are 5. They are the tetrahedron (4 triangular faces), the cube (6 square faces), the octahedron (8 triangular faces), the dodecahedron (12 pentagonal faces), and the icosahedron (20 triangular faces).
