On A Foliated and Parametric Minimal Hypersurface in-Euclidean Space

We show that In each odd dimensional Euclidean Space E^{2n + 1} (n ≤1), there is a parametric minimal hypersurface M²ⁿ which for n = 1 is a helicoid in E³ in isothermal parameters. We also show that the parametric equations of M²ⁿ can be recovered from a representation of Weierstrass type. The minimal M²ⁿ admits an n-dimensional foliation and has many other significant geometrical properties.