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