Problem

The line connecting centers of opposite faces of a cube is an axis of rotational symmetry...

The line connecting centers of opposite faces of a cube is an axis of rotational symmetry because the cube can be turned about the axis and appears to be in the same position as it was initially. In fact, as it rotates around the axis, the cube can be placed in three different positions that match the original position. This axis of symmetry is said to have order 4. How many axes of symmetry of order 4 are there in a cube?

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Solutions For Problems in Chapter 2.4