[MWForum] Re:snowflake

Daniel Ajoy mwforum@lists.mathcats.com
Tue, 15 Jul 2003 09:24:53 -0500


--Message-Boundary-11633
Content-type: text/plain; charset=US-ASCII
Content-transfer-encoding: 7BIT
Content-description: Mail message body

On 15 Jul 2003 at 3:25, Wendy Petti wrote:

> Walter, I beg to differ.  There are several ways to input starting values
> of variables, and you and I have each selected a legitimate, different
> method.  I chose to use sliders to supply the starting values.  You chose
> to write a command followed by two numbers.  

Yes. And there are many _kinds_ of variables too. Image attached.

I found the image here (in the MicroWorlds Pro distribution):

LCSI\MicroWorlds Pro\Help\MWTopics\content\s3c2t1.htm

Daniel
OpenWorld Learning


--Message-Boundary-11633
Content-type: Image/GIF; name="variables.gif"
Content-disposition: attachment; filename="variables.gif"
Content-transfer-encoding: BASE64
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--Message-Boundary-11633--