Any two 3-fold hyperbolic geometry can in essence when interference destructively then the boundary or the hollow disc ϖ got reciprocal into an elliptic 9-fold geometry by means of a cycle /ρ which in essence is the quotient space generated by that hollow disc of an increasing evolution through space σ for that cycle /ρ (σ) then ϖ+ through an affine mapping parameter ζ results in the reciprocal of the hyperbolic in an elliptic space.