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What is a shape that has equal number of faces equal number edges and equal number of vertices?
A sphere- there are no faces, edges or vertices
How many faces edges or vertices does a sphere have?
A sphere has no faces, no edges, and no vertices.
Faces of sphere?
A sphere has just one face.
Number of faces on a sphere?
A sphere is continuous with no edges, so a "face" doesn't really apply. It has a surface, and if you consider that a "face" then it has one. If you are looking inside and out, then two. If you do not consider a surface a face, then it has no faces. I am not sure how you would explain it with Euler's formula.. I am curious as how you would explain it in this manner. Euler's formula shows that e^ix traces out the unit circle in the complex number plane as x ranges through the real numbers. Not sure what this has to do with faces of a sphere... Euler characteristic perhaps? I am still not sure what this tells me about the number of faces that a sphere has. This basically proves the Euler Characteristic. You can map any polyhedron inside the sphere and get the same result. Are you implying that since any number of F can be mapped, that a sphere has infinite number of faces? That is pretty neat if that is the conclusion. So in regards to answering the question, you can use your method and explain it to your students. I think they can handle it if you do it properly. Something of the nature: Imagine a shape/polyhedron inside a sphere. Now map out or project the vertices's and edges of the polyhedron onto the sphere. It is like having the shadows of the edges and vertices's being mapped onto the wall of the sphere. The mapped image still has vertices's and edges and faces. They are the same amount of faces as the original polyhedron. Now imagine any polyhedron or shape inside the sphere. You can do the same with as many sided and faced shape as you want. Thinking this way you can view the sphere having infinite faces because you can map out any shape/polyhedron this way, no matter the number of faces. Then they will have this embedded into their memory and think that a sphere will have infinite faces. If they ever major in math and take topology... they will learn that a sphere has no faces.Hope this helps.
How many curved faces has a sphere?
1 really. You cannot denote any specific sides or faces as it has to be uniform to be a sphere
What is a shape that has equal number of faces equal number edges and equal number of vertices?
A sphere- there are no faces, edges or vertices
What shape is a sphere's face?
Technically, a sphere doesn't have any faces, as it has no vertexes or sides. It could be considered as having an infinite number of faces as well. The Surface of a sphere is continuous, as opposed to discrete, so it has no real faces.
What are the names of faces on a sphere?
A sphere has a surface but no faces.
How many number of congruent faces does a sphere have?
A sphere has only one face so it has no other to be congruent to.
Which three-dimensional figure has the least number of faces?
a sphere! lol :)
What 3d shapes have the same number of edges vertices and faces?
sphere
Which 3d shape has the same number of edges vertices and faces?
Sphere ( 0 faces , 0 edges , 0 vertices )
How many faces edges or vertices does a sphere have?
A sphere has no faces, no edges, and no vertices.
If a sphere is inscribed in a cube how many faces of the cube are tangent to the sphere?
Six Faces, because a cube contains 6 faces.
Faces of sphere?
A sphere has just one face.
Number of faces on a sphere?
A sphere is continuous with no edges, so a "face" doesn't really apply. It has a surface, and if you consider that a "face" then it has one. If you are looking inside and out, then two. If you do not consider a surface a face, then it has no faces. I am not sure how you would explain it with Euler's formula.. I am curious as how you would explain it in this manner. Euler's formula shows that e^ix traces out the unit circle in the complex number plane as x ranges through the real numbers. Not sure what this has to do with faces of a sphere... Euler characteristic perhaps? I am still not sure what this tells me about the number of faces that a sphere has. This basically proves the Euler Characteristic. You can map any polyhedron inside the sphere and get the same result. Are you implying that since any number of F can be mapped, that a sphere has infinite number of faces? That is pretty neat if that is the conclusion. So in regards to answering the question, you can use your method and explain it to your students. I think they can handle it if you do it properly. Something of the nature: Imagine a shape/polyhedron inside a sphere. Now map out or project the vertices's and edges of the polyhedron onto the sphere. It is like having the shadows of the edges and vertices's being mapped onto the wall of the sphere. The mapped image still has vertices's and edges and faces. They are the same amount of faces as the original polyhedron. Now imagine any polyhedron or shape inside the sphere. You can do the same with as many sided and faced shape as you want. Thinking this way you can view the sphere having infinite faces because you can map out any shape/polyhedron this way, no matter the number of faces. Then they will have this embedded into their memory and think that a sphere will have infinite faces. If they ever major in math and take topology... they will learn that a sphere has no faces.Hope this helps.
How many faces are in a spheres?
There are zero faces in a sphere.
