The answer is 1680.
When the cube is rotated, there are 8 points a single vertex could end up on, and 3 ways for each vertex to be rotated onto itself.
Therefore, it is 8!/(8x3)=40320/24=1680
22 vertices
3 vertices
A triangle has fewer than 4 vertices.
No. Since the graph is simple, none of the vertices connect to themselves - that is, there are no arcs that loop back on themselves. Then the two vertices with degree 6 must connect to all the other vertices. Therefore there can be no vertex with less than two arcs [ to these two vertices]. So a vertex with degree 1 cannot be part of the graph.
a cornere
There is not enough information to provide an answer. You need to know the coordinates of three vertices before you can find the coordinates of the fourth. Otherwise, there are alternative solutions using translations, reflections and rotations.
There are different kinds of octahedra with different numbers of vertices and edges.
Cylinders have no vertices since the entire object is rounded. Only objects in which two lines meet in the same planar are are considered to have vertices.
This all depends on the shape. Different shapes have different face, edges, vertices.
A pentagonal what? A pentagonal pyramid or pentagonal prism have different numbers of vertices.
30, its a combination. C(6,3) because there are six vertices of a hexagon and three vertices of a triangle
The answer depends on the other two vertices. Two vertices define an infinite number of parallelograms.
a hexagon has 6 vertices and 6 sides while a rectangle has 4 vertices and 4 sides.
An octagonal pyramid has 9 vertices. The base of this shape is an octagon, which will give it 8 vertices when the triangles that form the sides are considered. Those triangles will lead up to the apex (top) of the pyramid, and that will be the 9th vertex.
The form is not specified in the question so it is hard to tell. But two parabolas with different vertices can certainly have the same axis of symmetry.
32* * * * *An octahedron is a generic term for a polyhedron with eight faces. There are a number of different configurations and these will give rise to a different number of vertices. Some examples:Heptagon based pyramid: 8 vertices, 28 angles.Hexagon based prism: 12 vertices, 36 anglesQuadrilateral based dipyramid: 6 vertices, 24 angles.
Since the number of sides and vertices is different, it cannot be a 2-dimensional shape. The only 3-dimensional shape with 4 vertices is a tetrahedron and that does not have 6 sides. Consequently, there is no such shape.