Re: How to roll up multiple Line calls into a loop
- To: mathgroup at smc.vnet.net
- Subject: [mg118350] Re: How to roll up multiple Line calls into a loop
- From: Bob Hanlon <hanlonr at cox.net>
- Date: Sat, 23 Apr 2011 07:51:38 -0400 (EDT)
gr = 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}}]}]
End points:
endPts = Cases[gr, Line[pts__] :> Last[pts], Infinity]
{{1, 0}, {2, 0}, {3, 0}, {4, 0}, {5, 0}, {6, 0}, {7, 0}, {8, 0}, {9, 0}, {10,
0}}
Start points:
startPts = Cases[gr, Line[pts__] :> First[pts], Infinity]
{{0, 10}, {0, 9}, {0, 8}, {0, 7}, {0, 6}, {0, 5}, {0, 4}, {0, 3}, {0, 2}, {0,
1}}
gr = Graphics[Line /@ Thread[{startPts, endPts}]]
True
Bob Hanlon
---- 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?
Thanks.
Sol