Taxicab Spherical Inversions In Taxicab Space

In this paper, we define an inversion with respect to a taxicab sphere in the three dimensional taxicab space, and prove several properties of this inversion. We also study cross ratio, harmonic conjugates and the inverse images of lines, planes and taxicab spheres in three dimensional taxicab space.

Keywords:

taxicab space , inversion , harmonic conjugates , taxicab sphere