A dimensionality paradigm for surface interrogations (Q749151)

The author notes that in dealing with problems of graphing surfaces it is much better to write down the problem in the form of a system of equations to be solved by Newton's method instead of trying to reduce the problem algebraically. Applications are given to offset surfaces (in mathematics: parallel surfaces), Voronoi surfaces (equidistant surfaces to two given surfaces) and blending surfaces (Monge ``surfaces moulure'') used to smoothly connect two surfaces \(\{\) these seem somewhat easier to handle than cyclides\(\}\).