much like the Beats, the fathers of the Renaissance were gay; Da Vinci laying the foundation for Steam Punk & Michelangelo making it okay for men to flash their **** in the street; Raphael, the template for rent boys, a hyperplane is a subspace whose dimension is one less than that of its ambient space; If a space is 3-dimensional, then its hyperplanes are the 2-dimensional planes, while if the space is 2-dimensional, its hyperplanes are the 1-dimensional lines. This notion can be used in any general space in which the concept of the dimension of a subspace is defined.