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Q: How many ways are there to put 8 beads of different colors on the vertices of a cube if rotations of the cube but not reflections are considered the same?

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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.

30, its a combination. C(6,3) because there are six vertices of a hexagon and three vertices of a triangle

A pentagonal what? A pentagonal pyramid or pentagonal prism have different numbers of vertices.

The answer depends on the other two vertices. Two vertices define an infinite number of parallelograms.

From the perspective of a symmetry group, a cube has 48 symmetries total. They include:24 rotational symmetries: the identity6 90° rotations about axes through the centers of opposite faces3 180° rotations about the same axes8 120° rotations about the space diagonals connecting opposite vertices6 180° rotations about axes through the centers of opposite edges24 reflection symmetries that involve one of the above rotations, followed (or, equivalently) preceded by the same reflection

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.

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.

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.

There is no simple answer to this question. Polyhedra are named according to the number of faces that they have. A heptahedron is a 3-dimensional shape with 7 faces. It could be in the form of a pyramid with a hexagonal base. In that case, it has 7 vertices. Or it could be in the form of a prism with pentagonal bases and in that case it has 10 vertices. There are many different configurations, and the number of vertices varies. As stated in the answer by Ngc0202, there can be anything from 6 to 10 vertices.

The common endpoint of two sides of a polygon is called the vertex. Polygons have different numbers of vertices depending on the particular shape of the polygon. For example, a pentagon will have five vertices, and a rectangle will have 4 vertices.

The common endpoint of two sides of a polygon is called the vertex. Polygons have different numbers of vertices depending on the particular shape of the polygon. For example, a pentagon will have five vertices, and a rectangle will have 4 vertices.

None. The vertices, the scale factor as well as the centre of dilation can each be defined independently of the other two. Each different combination will result in a different image.

An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. An octahedron can have 6 to 12 vertices.

An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. An octahedron can have 6 to 12 vertices.

An octahedron is a closed 3-d shape with 8 polygonal faces. There are 257 topologically different convex octahedra. An octahedron can have 6 to 12 vertices.

It has 4 vertices Four.It has four vertices

A pyramid with a square as its base.

Vertices in a PyramidA tetrahedron is the simplest pyramid. It has four vertices and four faces.A pyramid, the same general shape as monumental structures in Egypt, with a square base and four triangular faces meeting at an apex has 5 vertices.However, a pyramid can have any polygon as its base. A pyramid with an n-sided polygon as base would have n+1 vertices.So a twelve sided pyramid would have 13 vertices I think there are 4......* * * * *One more than the number of vertices (corners) on the base. A triangular pyramid has 3+1 = 4 vertices, a rectangular pyramid has 4+1 = 5 and so on.It depends. There are different kinds of pyramids, with different amounts of vertices (the plural for vertex). There are square pyramids, with square bases, triangle pyramids, with triangular bases, hexagon pyramids, octagon pyramids, pentagon pyramids... here are a few answers, though: Square pyramids have five vertices. Triangle pyramids have four. Hexagon pyramids have seven, octagon pyramids have nine, pentagon pyramids have six.6

As a 2d object, a diamond had four sides. As a 3d object, there are many different types of diamonds, all with their own numbers of vertices, edges and faces.

Any way you like as long as the names are all different!