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hexahedron, cube

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Q: Which of the following Platonic solids is made from squares?
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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


Platonic solids is made from triangles?

No. Platonic solids, as their name suggests, are 3-dimensional objects. A triangle is 2-dimensional.


Instructions on how to make platonic solid?

There are only five geometric solids that can be made using a regular polygon and having the same number of these polygons meet at each corner. The five Platonic solids (or regular polyhedra) are the tetrahedron, cube, octahedron, dodecahedron, and icosahedron


Why is a cube called a platoric?

I think you probably mean platonic. The cube is one of only five platonic solids. These are the only shapes that can be made with outward-pointing corners and sides all of the same lengths.


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.


Can anyone give a brief explanation of the Five Platonic Solids?

The 5 are: the tetrahedron, made up of four triangles the hexahedron, made up of 6 squares (this solid is also known as the cube) the octahedron, made up of 8 triangles the dodecahedron, made up of 12 pentagons the icosahedron, made up of 20 triangles at each vertex on these solids, there are an equal number of faces meeting they are all regular polyhedra for each solid, the angles and sides are congruent and if it wasn't obvious already, they were discovered by Plato anything else?


What is the name of five platonic solids?

1~Tetrahedron *4 faces (made of equilateral triangles) *6 edges *5 vertices 2~Hexahedron (cube) *6 faces (made of squares) *12 edges *8 vertices 3~Octrahedron *8 faces (made up of equilateral triangles) *12 edges *6 vertices 4~Icosahedron *20 faces (made of equilateral triangles) *30 edges *12 verticies 5~Dodecahedron *12 faces (made of pentagons) *30 edges *20 vertices.


What are regular and irregular solids?

A regular solid is also called a platonic solid. It is a solid whose faces are identical regular polygons. There are 5 such solids. There are only 5 of them because a regular solid has 3, 4 or 5 regular polygons meeting at a vertex. If you look at the maximum number of angles you can see why there are exactly 5 platonic solids. The 5 platonic solid are: Tetrahedron where 3 triangles meet at each vertex, the octahedron where 4 meet at each vertex and the last one made of triangles is the icosahedrons which 5 triangles at each vertex, the cube which has 3 squares meeting at each vertex, and lastly the dodecahedron which is made up of regular pentagons with 3 meet at each vertex. In each case, you can see that 5 is the most number of triangles since 6 would be 6 x 60 degrees >360, 4 squares would be 4 x 90=360, and pentagons have interior angles of 108 degrees so you have (3×108°=324°). Anything more than that is greater than or equal to 360 degrees so not possible. Furthermore, a hexagon has an interior angle of 120 degrees so you cannot have 3 meeting at a vertex. A very famous mathematician named Euler also has a formula for the number of faces and vertices which if F+V-E=2 and anything more than the 5 regular solids would violate Euler's formula which has been proven to be true. Solids that are not regular are irregular solids.


How are platonic solids related to ancient concept of nature of matter?

The Ancient Greeks thought four things made up the universe- Earth, Water, Air, and Fire. Plato, the mathematician and philosopher of Ancient Greece, guessed that each of these elements made up a particular Platonic Solid. Earth was a Cube, Air and Octahedron, Water an Icosahedron, and Fire a Tetrahedron. The 5th element, he referred to as Quintessence. This of course made up the Dodecahedron.


What 3D shape has all the faces the same shape and flat?

a cube * * * * * A cube is only one example. Any one of the five Platonic solids - tetrahedron, cube or hexahedron, octahedron, dodecahedron or icosahedron - are made up from congruent plane faces.


What does platonic?

It means coming from the works of the Greek philosopher Plato. It is usually used in two expressions: "Platonic love" or "Platonic friendship" which means a loving or friendly relationship with no sexual aspect to it whatsoever, and "Platonic solid" which means a three-dimensional geometrical object entirely made up of identical regular plane surfaces.


What does platonic mean?

It means coming from the works of the Greek philosopher Plato. It is usually used in two expressions: "Platonic love" or "Platonic friendship" which means a loving or friendly relationship with no sexual aspect to it whatsoever, and "Platonic solid" which means a three-dimensional geometrical object entirely made up of identical regular plane surfaces.