BioMorph 1.0
			
			by Chris MacDonald
			
			July 28, 1989
			

The BioMorph Program

BioMorph is a program which generates a graph of an eqauation in
the complex plane.  Three equations can be graphed:  z^2 + c,
z^3 + c, and z^5 + c.  The constant c can be user specified. 
Complex numbers are used in the equations (i.e., 5 + 3i).  The
graph is 2-D, with real and complex axes.  Five preset graph sizes
are provided, giving various magnifications.  In addition, the user 
can select an area of a generated graph with the mouse and create a 
new graph of this indicated area.

Origins of BioMorph

This program was inspired by the Computer Recreations column of the
July, 1989 issue of Scientific American.  Biomorphs are the 
creations of Clifford A. Pickover, a researcher for IBM.  They are
related to both the Julia and Mandelbrot sets.

How to Use BioMorph

Type "biomorph" from the cli to run the program with the default 
constant.  To use a different constant type (for example)
"biomorph 0.5 1.2".  To start or stop the current graph, select
FILE GENERATE or FILE STOP respectively, from the menu.  Amiga G and
Amiga S also work here.  The COLORS menu merely changes the tint of
the graph.  The ZOOM menu provides five preset graph magnifications,
centered on the origin (a great way to return to a recognizable image
after zooming in to some minute piece of a graph).  The EQUATION menu 
lets you select from among the three equations offered.

Sizing the Window

The window can be made larger or smaller, with the graph size varying
in proportion.  A small window generates rapidly and is a good way
to quickly examine a zoom in.  If you find something interesting,
make the window full size to get the best detail.  You might have
to wait a bit, though!  Note that the window can only be made smaller
when a graph is NOT generating.  Select Stop first.

Zooming With the Mouse

If you find a portion of a graph you want to zoom in on, a box can be
made around it using the mouse.  Generating again gives a new graph
which is the size of this box.  To do this, place the mouse at the
UPPER LEFT of the area which interests you, click and hold the left
mouse button and drag to the RIGHT.  This creates a square shaped
box which defines the area of the next graph generated.  Let go of
the button to select this area.  Select FILE GENERATE to see the
new graph.  If the first box you select isn't quite right, merely
select a new one before generating.


I hope you enjoy this program.  If you have comments, suggestions, bug
reports, (or a routine for z to the z power)  :^)  send bixmail to
cmacdonald.

Give this program to anyone who wants it, but please don't sell it.