If you are a solid figure with no vertices or edges, then you are a Sphere.From the lighter side: And that means that we can no longer be friends...
6
A hemisphere
The solid figure that has the same number of faces and vertices and has 8 edges is a cube. A cube has 6 faces, 8 vertices, and 12 edges, so it fits the description given.
It is not any kind of simply connected solid figure because it does not satisfy the Euler characteristic which requires thatFaces + Vertices = Edges + 2It is not any kind of simply connected solid figure because it does not satisfy the Euler characteristic which requires thatFaces + Vertices = Edges + 2It is not any kind of simply connected solid figure because it does not satisfy the Euler characteristic which requires thatFaces + Vertices = Edges + 2It is not any kind of simply connected solid figure because it does not satisfy the Euler characteristic which requires thatFaces + Vertices = Edges + 2
If you are a solid figure with no vertices or edges, then you are a Sphere.From the lighter side: And that means that we can no longer be friends...
A quadrilateral based pyramid.
A hexahedron is a solid figure with 6 plane faces (which is where the prefix hexa- comes from), eight vertices and 12 edges.
6
sphere
A hemisphere
The solid figure that has the same number of faces and vertices and has 8 edges is a cube. A cube has 6 faces, 8 vertices, and 12 edges, so it fits the description given.
It is not any kind of simply connected solid figure because it does not satisfy the Euler characteristic which requires thatFaces + Vertices = Edges + 2It is not any kind of simply connected solid figure because it does not satisfy the Euler characteristic which requires thatFaces + Vertices = Edges + 2It is not any kind of simply connected solid figure because it does not satisfy the Euler characteristic which requires thatFaces + Vertices = Edges + 2It is not any kind of simply connected solid figure because it does not satisfy the Euler characteristic which requires thatFaces + Vertices = Edges + 2
Vertices are points in a solid, or 3-D figure, where edges meet.
A square pyramid.
A Cylinder.
A solid figure with eight vertices and all faces of equal size is called a cube. Each face of a cube is a square, and a cube has 8 vertices and 6 faces.