Space Of Four-dimensional Hypersurfaces Splicing

Since people convinced that the realistic world is four-dimensional, the internal and overseas scholars began to lucubrate the four-dimensional space. Although they have gotten many achievements, they hope there will be more abundant means to express the four-dimensional space.Firstly, a basal theory of four-dimensional isometric axes projection is introduced in this paper.Secondly, a simulation display method based on Non-Uniform Rational B-Spline (NURBS) surfaces is given to display Hyper Curved Surfaces in four-dimension Space. This method is easier than the method of Equivalence Surface in showing function's geometry and continuity. And an optimizing distributed computing mode is given to avoid repeat calculation.Lastly, I propounded a simulation display method based on NURBS surfaces for showing the Connection of Hyper Curved Surfaces in four-dimensional Space. The method realized G' and G2 connection, in other words it realized the continuity of the cutting surface, main curvature and direction. And a effective generating arithmetic is given in this paper.