Today’s number system Asymmetric rules Mirror of today’s system Asymmetric rules Perfect Symmetry Yin-Yang system $+×+=+$ $+×+=-$ $+×+=+$ $-×-=+$ $-×-=-$ $-×-=-$ $+×-=-$ $+×-=+$ $+×-=±$ $-×+=-$ $-×+=+$ $-×+=±$ $-×+=+$ , principal squared plus $-×+=-$ , principal squared negative $\sqrt{+}=+$ principal root $\sqrt{+}=i$ $\sqrt{+}=+$ $\sqrt{-}=i$ $\sqrt{-}=-$ principal root $\sqrt{-}=-$ $\sqrt{±}=?$ No rule $\sqrt{±}=?$ No rule $\sqrt{±}=-×+$ Numerical examples $2×2=4$ $2×2=-4$ $2×2=4$ $-2×-2=4$ $-2×-2=-4$ $-2×-2=-4$ $2×-2=-4$ $2×-2=4$ $2×-2=±4$ $-2×2=-4$ $-2×2=4$ $-2×2=±4$ $2×-2=4$ Principal solution $-2×2=-4$ Principal negative solution $\sqrt{4}=2$ $\sqrt{4}=2i$ $\sqrt{4}=2$ $\sqrt{-4}=2i$ $\sqrt{-4}=-2$ $\sqrt{-4}=-2$ $\sqrt{±4}=?$ $\sqrt{±4}=?$ $\sqrt{±4}=\sqrt{-2}\sqrt{2}$ $\sqrt{±4}=\sqrt{2}\sqrt{-2}$ Addition and subtraction identical for all systems, as there is no sign dominance. $2+2=4$ $2+2=4$ $2+2=4$ $-2+2=0$ $-2+2=0$ $-2+2=0$ $2-2=0$ $2-2=0$ $2-2=0$ $-2-2=-4$ $-2-2=-4$ $-2-2=-4$