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There can be no simply connected polyhedron with the specified number of faces, vertices and edges.
The Euler characteristic requires that F + V = E + 2 where
F = number of faces
V = number of vertices
E = number of edges
This requirement is clearly not satisfied.
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∙ 12y ago
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What Is The Rule Connecting the faces edges and vertices of a 3D shape?
# of faces + # of edges + # of vertecies + 2
3d shape no edges no vertices no flat faces?
Sphere
What 3d shape has 8 faces 19 edges 12 vertices?
According to Euler none; for all 3d shapes: Vertices + Faces = Edges + 2 ⇒ 12 + 8 = 19 + 2 ⇒ 20 = 21 So unless 20 does equal 21, no 3d shape has 8 faces, 19 edges and 12 vertices. Any 3d shape with 8 faces would be an octahedron.
What 3d shape 5 faces 8 edges 5 vertices?
A pyramid
What 3d shape has 8 faces 12 vertices and 12 edges?
Hexagonal prism
What 3d shape has no faces no edges and no vertices?
retangle
Which 3d shape has the same number of edges vertices and faces?
Sphere ( 0 faces , 0 edges , 0 vertices )
What Is The Rule Connecting the faces edges and vertices of a 3D shape?
# of faces + # of edges + # of vertecies + 2
3d shape no edges no vertices no flat faces?
Sphere
What 3d shape has 8 faces 19 edges 12 vertices?
According to Euler none; for all 3d shapes: Vertices + Faces = Edges + 2 ⇒ 12 + 8 = 19 + 2 ⇒ 20 = 21 So unless 20 does equal 21, no 3d shape has 8 faces, 19 edges and 12 vertices. Any 3d shape with 8 faces would be an octahedron.
What 3D shape has 6 vertices 6 faces and 10 edges?
It is a pentagonal based pyramid that has 6 vertices, 6 faces and 10 edges
A 3d shape with 5 faces 8 edges and 5 vertices?
It is a square based pyramid that has 5 faces, 8 edges and 5 vertices
What 3d shape has 4 faces 6 edges and 4 vertices?
That 3D shape is called triangular pyramid.
What 3d shape has 5 vertices 8 edges and 5 faces?
cube
3d shape 7 faces 12 edges 7 vertices?
a square
What 3d shape has 9 faces 16 edges 9 vertices?
Nonahedron
What 3d shape has 4 faces 4 vertices 6 edges?
tetrahedron
