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I plotted a bunch of regions using RegionPlot3D, and would need to rotate them around an a vector {0,0,1} anchored at point {5,5,5}. I tried RotationTransform, Transformed Region, and changing variables yet nothing seems to work. Any idea?

  a=-1 ; b=-1 ; c=-1 ; r=3 ;
  equationsphere=(x-a)^2+(y-b)^2+(z-c)^2-r^2;
  sphere = RegionPlot3D[equationsphere <= 0, {x, -10, 10}, {y, -10, 10}, {z, -10, 10}, AxesOrigin -> {0, 0, 0}, AxesLabel->{x,y,z}, ImageSize -> {800, 800}, PlotRange -> {{-10, 10}, {-10, 10}, {-10, 10}},PlotPoints->50]
  spheresubshape1 = RegionPlot3D[equationsphere <= 0, {x, 0, 10}, {y, 0, 10}, {z, 0, 10}, AxesOrigin -> {0, 0, 0}, ImageSize -> {800, 800}, PlotRange -> {{-10, 10}, {-10, 10}, {-10, 10}},PlotPoints->50];

I'd like to rotate spheresubshape1 from {0,0,0} to {10,0,0}, so Pi/2 around the vector {0,0,1} anchored at point {5,5,5}.

Any idea on how I can do this? Please that would be super helpful

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    $\begingroup$ This should help: 100025 or 32468 $\endgroup$ – Kuba Nov 23 '17 at 12:53
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Something like this?:

Show[Graphics3D[
GeometricTransformation[spheresubshape1[[1]], 
RotationTransform[Pi/2, {0, 0, 1}, {5, 5, 5}]]], AxesOrigin -> {0, 0, 0}, 
ImageSize -> {800, 800}, PlotRange -> {{-10, 10}, {-10, 10}, {-10, 10}}, Axes -> True]

enter image description here

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  • $\begingroup$ You're a boss! Thank you $\endgroup$ – Wolf1993 Nov 24 '17 at 1:42

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