  This letter explores the derivation of dark energy from a locally conformal
projection of hyperconical universes. It focuses on the analysis of theoretical
compatibility between the intrinsic view of the standard cosmology and an
adequate transformation of hyperconical manifolds. Choosing some parametric
family of locally conformal transformations and taking regional (second order)
equality between the Hubble parameter of both theories, it is predicted that
the dark energy density is $\Omega_{\Lambda} = 0.6937181(2)$. In particular, we
used a radially distorted stereographic projection, the distortion parameter of
which is theoretically predicted about $\alpha = 0.325 \pm 0.005$ and
empirically fitted as $\alpha = 0.36 \pm 0.02$ ($\chi_0^2 = 562$) according to
580 SNe Ia observations.
