How Many Skew Lines Are in a Cube

A skew dodecagon is a skew polygon with 12 vertices and edges but not existing on the same plane. A regular skew dodecagon is vertex-transitive with equal edge lengths.

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A skew zig-zag octagon has vertices alternating between two parallel planes.

. In 3-dimensions it will be a zig-zag skew dodecagon and can be seen. A regular skew octagon is vertex-transitive with equal edge lengths. The main difference between parallel and skew lines is that the former lies in the same plane but the latter lies in the different planes.

In three-dimensional geometry we come across a new line that is skew lines. A skew zig-zag dodecagon has vertices alternating between two parallel planes. In 3-dimensions it will be a zig-zag skew octagon and can be seen in the vertices and side edges of a square antiprism with the same D 4d 2 8 symmetry order 16.

These lines are nothing but two lines but do not intersect and they are also not parallel. The interior of such an dodecagon is not generally defined.

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