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copied!<p>I, too, sometimes find it confusing how to get Mathematica to display <code>Graphics</code> in a consistent way, particularly when insetting graphics.</p> <p>For the specified graphic <code>g</code>, it doesn't matter what you provide for the <code>PlotRange</code>, because <code>Thickness[1]</code> always draws a line whose thickness is equal to the horizontal plot range. In your example, <code>Show[g, ___]</code> gives the correct result:</p> <p><img src="https://i.stack.imgur.com/NKgmH.png" alt="automatic image padding">. </p> <p><code>Show[g]</code>, or simply <code>g</code>, is anomalous. </p> <p>Why?</p> <p>I don't know where/if this is documented, but here are a few things that might be relevant to the question. </p> <ol> <li><p>Obviously <code>DisplayForm[Graphics[___]]</code> is a raster. </p></li> <li><p>We can get a raster for g using Rasterize[g]. What is the RasterSize? From trial and error, I found that RasterSize is 10 * screen resolution (reported as 72 pixels per inch on my system). How do I know this? If I rasterize g with resolutions less than 718, I get an image with dimensions {360,361}, whereas the default image size for g is 360 pixels on my system, so I figure to Show[] a graphic, Mathematica <code>Rasterize</code>'s it at 10x the screen resolution. Anybody know if this is true? You can get your screen resolution (at least as Mathematica sees it) from the Options Inspector. <strong>Edit</strong> That the following expression evaluates as <code>True</code> seems to show that the displayed graphic is rasterized at the ImageSize: <code>ImportString[ExportString[Show[g,ImageSize->100],"PNG"]] === ImportString[ExportString[Rasterize[g,RasterSize->100,ImageSize->100],"PNG"]</code></p></li> <li><p>To reproduce <code>Show[g]</code> when using <code>PlotRange</code> I need to use <code>Show[g,PlotRange->{{0,1},{0,1}},ImagePadding->90.3]</code></p></li> </ol> <p><img src="https://i.stack.imgur.com/K4vG2.png" alt="specific image padding"></p> <p>to get it to crop to the perimeter of the line. So it seems that Mathematica is telling the truth that the <code>PlotRange</code> is <code>{{0,1},{0,1}}</code> when using <code>AbsoluteOptions[]</code>. It is not reporting the actual value of <code>ImagePadding</code>. Perhaps because <code>ImagePadding->Automatic</code> is based on a rule that uses the current <code>ImageSize</code>, <code>PlotRangeClipping</code>,... settings? The <code>ImagePadding</code> of 90.3 only works for <code>ImageSize->360</code>; setting <code>ImageSize->200</code> makes the <code>ImagePadding</code> value wrong. For your graphic, <code>ImagePadding->90.3*OptionValue[ImageSize]/360</code> reproduces <code>Show[g,ImageSize->_]</code> on my system.</p> <p>That's all I've found out so far.</p>

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