Duals

The dual of an object $$\mathbf x$$, denoted by $$\mathbf x^*$$, is given by


 * $$\mathbf x^* = \mathbf{\tilde x} \mathbin{\unicode{x27D1}} {\large\unicode{x1d7d9}}$$.

The following table lists the duals for the geometric objects in the 5D conformal geometric algebra $$\mathcal G_{4,1}$$.