Inversion of hyperpolar Sierpinski triangles with respect to a hyperpolar circle

The subject of this article is a new mapping transforming points or figures in the hyperpolar plane into other points or figures in the same plane relative to a fixed hyperpolar circle. This transformation is similar to the Euclidean inversion with respect to a circle in the Cartesian plane and is therefore called hyperpolar inversion. We apply this transformation to the hyperpolar images of Sierpinski triangles placed in an advantageous position with respect tothe hyperpolar circle of inversion in order to obtain their images of inversion which are also new types of interesting fractals.