Groups > comp.soft-sys.math.mathematica > #1849

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

From	Albert Retey <awnl@gmx-topmail.de>
Newsgroups	comp.soft-sys.math.mathematica
Subject	Re: How to roll up multiple Line calls into a loop
Date	2011-04-23 11:51 +0000
Organization	Steven M. Christensen and Associates, Inc and MathTensor, Inc.
Message-ID	<iouefc$6io$1@smc.vnet.net> (permalink)
References	<iorih5$o6t$1@smc.vnet.net>

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Am 22.04.2011 11:41, schrieb Sol Lederman:
> 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.

Well, you need to tell Mathematica how to do this...

> Would someone please show me the short way, I imagine using Table somehow?

... this is one way, as you imagined, Table seems to be an adequat 
starting point:

Graphics[Table[Line[{{0, 11 - i}, {i, 0}}], {i, 10}]]

Here is something somewhat more elaborated:

Manipulate[
  Graphics[
   Line[Table[{{0, n - i + 1}, {i, 0}}, {i, n}]],
   ImageSize -> {300,300}
   ],
  {n, 5, 100}
  ]

note that Line will accept a list of line definitions as the argument, 
which is somewhat more efficient when showing many lines. For graphics 
within a manipulate you almost always want to set an explict ImageSize 
or PlotRange.

hth,

albert

Thread

How to roll up multiple Line calls into a loop Sol Lederman <sol.lederman@gmail.com> - 2011-04-22 09:41 +0000
  Re: How to roll up multiple Line calls into a loop Dan <dflatin@rcn.com> - 2011-04-23 11:50 +0000
    Re: How to roll up multiple Line calls into a loop "Christopher O. Young" <cy56@comcast.net> - 2011-04-25 11:29 +0000
  Re: How to roll up multiple Line calls into a loop Albert Retey <awnl@gmx-topmail.de> - 2011-04-23 11:51 +0000
  Re: How to roll up multiple Line calls into a loop "Christopher O. Young" <cy56@comcast.net> - 2011-04-23 11:51 +0000
  Re: How to roll up multiple Line calls into a loop Helen Read <readhpr@gmail.com> - 2011-04-23 11:51 +0000
  Re: How to roll up multiple Line calls into a loop Peter Pein <petsie@dordos.net> - 2011-04-23 11:52 +0000
  Re: How to roll up multiple Line calls into a loop roby <roby.nowak@gmail.com> - 2011-04-23 11:52 +0000
  Re: How to roll up multiple Line calls into a loop Yves Klett <yves.klett@googlemail.com> - 2011-04-24 12:24 +0000
    Short-cut for reiteration, via postfix usage of Table as pure "Christopher O. Young" <cy56@comcast.net> - 2011-04-25 11:27 +0000
    Short-cut for reiteration, via postfix usage of Table as pure "Christopher O. Young" <cy56@comcast.net> - 2011-04-25 11:27 +0000
      Re: Short-cut for reiteration, via postfix usage of Table as pure Peter Pein <petsie@dordos.net> - 2011-04-26 10:51 +0000
      Re: Short-cut for reiteration, via postfix usage of Table as pure Peter Pein <petsie@dordos.net> - 2011-04-26 10:50 +0000
        Re: Short-cut for reiteration. Concise, readable symbols and "Christopher O. Young" <cy56@comcast.net> - 2011-04-27 09:38 +0000

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