  In this article we present a new and not fully employed geometric algebra
model. With this model a generalization of the conformal model is achieved. We
discuss the geometric objects that can be represented. Furthermore, we show
that the Pin group of this geometric algebra corresponds to inversions with
respect to axis aligned quadrics. We discuss the construction for the two- and
three-dimensional case in detail and give the construction for arbitrary
dimension. Key Words: Clifford algebra, geometric algebra, generalized
inversion, conic, quadric, hyperquadric
