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I'm drawing several ArrayPlots and I would like they all have same size of cells. Can I instead of setting ArrayPlot size and AspectRatio, set fixed cell size of ArrayPlot?

ArrayPlot[Table[0 , {x, 4}, {y, 5}], Mesh -> True]
ArrayPlot[Table[0, {x, 4}, {y, 10}], Mesh -> True]
ArrayPlot[Table[0 , {x, 10}, {y, 10}], Mesh -> True]

Now I have this

enter image description here

but I need this

enter image description here

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    $\begingroup$ Set the same ImageSize and AspectRatio for all of them, e.g. ArrayPlot[yourData, ImageSize -> Medium, AspectRatio -> 1]. $\endgroup$
    – MarcoB
    Jan 31, 2017 at 20:15
  • $\begingroup$ @MarcoB It will give me the ArrayPlots of the same size. I do not want it! I want the same size of small cells inside the ArrayPlots $\endgroup$
    – Филипп Цветков
    Jan 31, 2017 at 21:21
  • $\begingroup$ Related: (14940), (28246) $\endgroup$
    – Mr.Wizard
    Jan 31, 2017 at 21:46

3 Answers 3

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As an alternative to PixelConstrained, you can use the somewhat new (in M8) syntax for ImageSize:

ArrayPlot[Table[0, {x,4}, {y,5}], Mesh->True, ImageSize->1->25]
ArrayPlot[Table[0, {x,4}, {y,10}], Mesh->True, ImageSize->1->25]
ArrayPlot[Table[0, {x,10}, {y,10}], Mesh->True, ImageSize->1->25]

enter image description here

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    $\begingroup$ Neat! Is this documented? $\endgroup$
    – Mr.Wizard
    Feb 1, 2017 at 1:12
  • $\begingroup$ @Mr.Wizard I couldn't find it in the docs, but it turns out that it had been mentioned in this site a couple of years ago. Even so, I'm still not sure that I fully understand it's usage, so I'd love for Carl to weigh in. $\endgroup$
    – MarcoB
    Feb 1, 2017 at 13:53
  • $\begingroup$ @MarcoB I'd forgotten about that, as usual. I also hope Carl has more to say. $\endgroup$
    – Mr.Wizard
    Feb 1, 2017 at 15:02
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    $\begingroup$ I don't know why it isn't documented yet. The basic usage is something like ImageSize->userUnits->pixels, where userUnits is the usual ImageSize spec. One convenient syntax is something like ImageSize->Automatic->500, which says that the PlotRange should be 500 pixels wide, and so you can have a column of such graphics with identical widths ignoring ticks, labels, etc. $\endgroup$
    – Carl Woll
    Feb 1, 2017 at 16:52
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I would use PixelConstrained but you will need a fix from ArrayPlot: PixelConstrained doesn't account for Mesh thickness to avoid a small bug.

fixPC = Show[#, PlotRangePadding -> 1, ImageSize -> 2 + PlotRange[#][[All, 2]]] &;

Now:

ArrayPlot[Table[0, {x, 4}, {y, 5}], Mesh -> True, PixelConstrained -> 25] // fixPC
ArrayPlot[Table[0, {x, 4}, {y, 10}], Mesh -> True, PixelConstrained -> 25] // fixPC
ArrayPlot[Table[0, {x, 10}, {y, 10}], Mesh -> True, PixelConstrained -> 25] // fixPC

enter image description here

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I think you have to calculate the ImageSize based on the size of the table.

ClearAll[ap];
ap[table_?MatrixQ, im_Integer: 10, opts : OptionsPattern[ArrayPlot]] :=
  ArrayPlot[table, opts, ImageSize -> im*Length[First@table]+2]

ap[Table[0, {x, 4}, {y, 5}], Mesh -> True]
ap[Table[0, {x, 4}, {y, 10}], Mesh -> True]
ap[Table[0, {x, 10}, {y, 10}], Mesh -> True]

Mathematica graphics

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  • $\begingroup$ This produces subtle distortions in the mesh that are avoided using PixelConstrained. $\endgroup$
    – Mr.Wizard
    Jan 31, 2017 at 21:45
  • $\begingroup$ @Mr.Wizard Not in pdf/svg, perhaps? I'm not sure my eyes are good enough for screen pixels. I see small distortions with all ways. The only way I could find to resize PixelConstrained plots is with Magnify. $\endgroup$
    – Michael E2
    Jan 31, 2017 at 23:20
  • $\begingroup$ In vector formats rasterization is deferred but they are still subject to the same issue when converted to raster, i.e. displayed on screen, so if you want pixel-perfect raster you would at that time need to specify an exact pixel dimension. Not being able to freeform resize is rather the point; there is only one dimension that is "correct" and exact multiples of it. Use a different option value for PixelConstrained if you need a different image size. $\endgroup$
    – Mr.Wizard
    Feb 1, 2017 at 11:21
  • $\begingroup$ @Mr.Wizard Then I think my fix fixes that. Provide you display at 100% & don't resize. What do you think? (Note my notebooks are set 150%, which explains why everything looks slightly wonky. PixelConstrained does not really constrain to pixels, it turns out.) $\endgroup$
    – Michael E2
    Feb 1, 2017 at 11:31
  • $\begingroup$ I would not expect magnification to work any other way. You need PlotRangePadding -> 0 on my system to prevent the distortion I mentioned, but that fails if you add Axes -> True. Compare e.g. ArrayPlot[BoxMatrix[0, 50], Mesh -> True, PixelConstrained -> 3, Axes -> True] // fixPC to ap[BoxMatrix[0, 50], 3, Mesh -> True, PlotRangePadding -> 0, Axes -> True], at 100% magnification of course. $\endgroup$
    – Mr.Wizard
    Feb 1, 2017 at 11:45

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