After having had trouble applying TranslationTransform to a simple region like so


I tried to find my error by researching Mathematica's online documentation, specifically ref/TransformedRegion. After having failed to find a glitch in my code, I just did an "Evaluate Notebook" from the "Evaluation" menu, with a discouraging result:

  1. Error messages: RegionPlot::nnregion, RegionPlot::invplotreg, TransformedRegion::reg, DiscretizeRegion::regp, RegionDistance::regp, Volume::reg, Integrate::ilim, MinValue::elemc, Reduce::elemc, RegionBounds::reg, RegionDistance::regp (in that order).
  2. Different RegionPlot-outputs, which, as comments showed, are due to wrong PlotRange (so, there is a workaround for this by manually changing that option).

My question is: Is my installation damaged or might this be a problem with Mathematica itself?

I have the same results on two machines (Windows 7 and Windows 8.1, both 64bit).


Before evaluating the documentation page

before evaluation before evaluation 2 enter image description here


after evaluation after evaluation 2 enter image description here

  • $\begingroup$ A damaged installation, likely not. It's a miscalculated default PlotRegion, that's all. $\endgroup$ – rcollyer Jan 28 '15 at 13:40
  • $\begingroup$ @rcollyer: You may be right, but the display (especially the closed boundaries) are highly misleading. In that state, the region plotting functionality is not really usable with TransformedRegion. $\endgroup$ – Jinxed Jan 28 '15 at 14:16
  • $\begingroup$ @rcollyer: And the error messages resulting from processing the documentation page indicate, that there is something wrong here. $\endgroup$ – Jinxed Jan 28 '15 at 14:21
  • $\begingroup$ I don't contest those conclusions, just the conclusion that it is a damaged installation. You can verify that it is the PlotRange by setting PlotRange -> {{-1, 0.6}, {0, 1.4}} for the first example and PlotRange -> {{-8, 15}, {-4, 8}} for the second. $\endgroup$ – rcollyer Jan 28 '15 at 14:47
  • $\begingroup$ @rcollyer: I take it you have the same behavior (error messages, PlotArea-problem) when evaluating the online documentation reference page? $\endgroup$ – Jinxed Jan 28 '15 at 16:59

Problem Confirmed

Wolfram has confirmed this to be a problem with Mathematica, not a damaged installation. There is no known workaround for now.

Transcript of the confirmation mail (dated 2015-01-28):

Hello -

Thank you for your email.

I have filed a report with our developers on this issue with 
TransformedRegion so that they are aware of the problem.
This may allow them to fix the problem in a future version of
Mathematica.  I am not aware of any workarounds for this 
problem at the current time, but I will be sure to pass on
any useful information should it become available.
Please let me know if you have any further questions. 

~[name masked]~
Technical Support
Wolfram Research, Inc.

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