Re: graphing x^2+4 on x, y, and i

*To*: mathgroup at smc.vnet.net*Subject*: [mg61838] Re: graphing x^2+4 on x, y, and i*From*: Scott Hemphill <hemphill at hemphills.net>*Date*: Tue, 1 Nov 2005 00:39:25 -0500 (EST)*References*: <djv2un$oal$1@smc.vnet.net>*Reply-to*: hemphill at alumni.caltech.edu*Sender*: owner-wri-mathgroup at wolfram.com

thomas <likothecat at hotmail.com> writes: > Hi, > > Is it possible to make a 3d type of graph using the x, y, and i axes > for the equation y = x ^ 2 + 4? I use something like: Plot4D[f_, {x_, xmin_, xmax_}, {y_, ymin_, ymax_}, opts___] := Plot3D[{Abs[f], Hue[Arg[f]/(2*Pi)]}, {x, xmin, xmax}, {y, ymin, ymax}, opts] This function plots the absolute value of the complex function as the height, and the argument as the hue. Then: z = (x+I*y) Plot4D[z^2+4,{x,-5,5},{y,-5,5}] The zeros can be identified by the kinks in the surface, and they are also identified as the places which are surrounded by all the hue colors. Scott -- Scott Hemphill hemphill at alumni.caltech.edu "This isn't flying. This is falling, with style." -- Buzz Lightyear