       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>
• 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

```

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