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Re: How to roll up multiple Line calls into a loop

  • To: mathgroup at smc.vnet.net
  • Subject: [mg118348] Re: How to roll up multiple Line calls into a loop
  • From: "Christopher O. Young" <cy56 at comcast.net>
  • Date: Sat, 23 Apr 2011 07:51:17 -0400 (EDT)
  • References: <iorih5$o6t$1@smc.vnet.net>



On 4/22/11 5:41 AM, in article iorih5$o6t$1 at smc.vnet.net, "Sol Lederman"
<sol.lederman at gmail.com> wrote:

> Hi,
> 
> I'm new to Mathematica.
> 
> I have the following bit of graphics:
> 
>    Graphics[{
>   Line[{{0, 10}, {1, 0}}],
>   Line[{{0, 9}, {2, 0}}],
>   Line[{{0, 8}, {3, 0}}],
>   Line[{{0, 7}, {4, 0}}],
>   Line[{{0, 6}, {5, 0}}],
>   Line[{{0, 5}, {6, 0}}],
>   Line[{{0, 4}, {7, 0}}],
>   Line[{{0, 3}, {8, 0}}],
>   Line[{{0, 2}, {9, 0}}],
>   Line[{{0, 1}, {10, 0}}],
>   }]
> 
> 
> I want to simplify it to do some sort of iteration to compute the end points
> of the lines. I can do this easily in a variety of procedural languages but
> I haven't yet grokked how Mathematica would do this.
> 
> 
> Would someone please show me the short way, I imagine using Table somehow?

The following will do it:

Graphics[
 Table[Line[{{0, 10 - k + 1}, {k, 0}}], {k, 1, 10}]
]

I keep wishing there were some way to do this using a replacement rule or an
iteration specifier tacked on to the end of the line.



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