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Filling a polygon with a pattern of insets

I have a RegionPlot (and sometimes a regular Plot) where I'd like to shade two different parts of it two different ways. Since the final output will be printed in black and white, I'd really like to do this in an old fashioned way: with hash lines.

I was mainly wondering if there is some built in way to do this without developing it from scratch.

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Hi texasAUtiger, welcome to Mathematica.SE! I'm closing this question (which is a very good one!) because it has already been asked and answered. In this way we'll keep the answers concentrated and better findable. Your question will serve as an additional entry point. –  Sjoerd C. de Vries Jun 30 '12 at 20:24
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marked as duplicate by Sjoerd C. de Vries Jun 30 '12 at 20:20

This question has been asked before and already has an answer. If those answers do not fully address your question, please ask a new question.

1 Answer

up vote 9 down vote accepted

For RegionPlot you could use the MeshFunctions option for this, for example

Show[
 RegionPlot[Sin[x y] > 0, {x, -Pi, Pi}, {y, -Pi, Pi}, 
  MeshFunctions -> {#1 + #2 &},
  Mesh -> {Range[-2 Pi, 2 Pi, Pi/20]}, PlotStyle -> None],
 RegionPlot[x^2 + y^4 < 2, {x, -Pi, Pi}, {y, -Pi, Pi}, 
  MeshFunctions -> {#1 - #2 &},
  Mesh -> {Range[-Pi, Pi, Pi/20]}, PlotStyle -> None]]

Mathematica graphics

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Thanks and sorry for duplicating a previous post. I looked, but must not have used just the right search terms. –  JohnD Jun 30 '12 at 21:43
    
@texas That's okay, they are often not easy to find. We do appreciate your trying however. :-) –  Mr.Wizard Jul 1 '12 at 6:53
    
Very nice! Is there a way to get away with only one RegionPlot command? Similar to how PlotStyle accepts a list of specifications for each region being plotted. –  Eckhard Feb 3 at 23:31
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