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We construct a new family of entire solutions to the Yamabe equation$$-\Delta u=\frac{n(n-2)}{4}|u|^{\frac{4}{n-2}}u \mbox{ in}\mathcal{D}^{1,2}(\mathbb{R}^n).$$ If $n=3$, our solutions have maximal rank,being the first example in odd dimension. Our construction has analogies withthe doubling of the equatorial spheres in the construction of minimal surfacesin $S^3(1)$.

Doubling nodal solutions to the Yamabe equation in $\mathbb{R}^n$ with maximal rank