Complex Polytope - Real Conjugates

Real Conjugates

In the ordinary, or real plane, we can construct a visible figure as the real conjugate of some complex polygon. Likewise in ordinary space, we can construct a visible figure as the real conjugate of some complex polyhedron.

To obtain the real conjugate, we discard the imaginary part of any coordinate. For example the complex point (a + ib) has real conjugate a.

The real conjugate of a complex edge is a line with the vertex points distributed along it (not generally evenly spaced). The second of the two octagon projections above shows the real conjugates of the sides.