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RegionDifference for Cylinder and Cuboid

MeshRegion and BoundaryMeshRegion differences between 10.0.1 and 10.0.2Tube vs. Cylindernon-intersecting cylinders and DiscretizeRegion, RegionIntersectionHow do I Maximize over a Cuboid region?How to plot the difference between two regions?Is there a better way to produce a shape with exclusions in RegionPlot3D?Curated data for sub-national entities (states and regions)Trouble finding intersection of Line and irregular RegionBoundaryProblems with RegionBoundary and RegionIntersectionConverting character into region and extracting the boundary

5

$begingroup$

I wish to use RegionDifference to take a cube shape out of a cylinder. First I make the cylinder and cube and combine them in RegionUnion.

reg1 = Cylinder[0, 0, 0, 10, 0, 0, 0.5];
reg2 = Cuboid[5, 0, 0, 10, 1, 1];
Region[RegionUnion[reg1, reg2], Axes -> True]

So this looks good so far. Now I wish to take the cuboid out of the cylinder leaving a notch in the cylinder. I try

reg = RegionDifference[reg1, reg2];
Region[reg, Axes -> True, PlotRange -> All]

My cylinder is chopped off short and given a bad end (away from the subtraction). Is there a workaround?

Version 11.3 for windows.

regions

share|improve this question

asked 5 hours ago

HughHugh

6,48421945

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Wow, that's really weird. Please contact support. Honestly, I am quite disappointed with the almost nonexistent usability of the BooleanRegion facilities.
  $endgroup$
  – Henrik Schumacher
  4 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  I have sent it off to support.I agree about being fed up. Second time in two days you have had to help me out -for which I am very grateful.
  $endgroup$
  – Hugh
  4 hours ago
  

  
  
  
  

add a comment | 

5

$begingroup$

I wish to use RegionDifference to take a cube shape out of a cylinder. First I make the cylinder and cube and combine them in RegionUnion.

reg1 = Cylinder[0, 0, 0, 10, 0, 0, 0.5];
reg2 = Cuboid[5, 0, 0, 10, 1, 1];
Region[RegionUnion[reg1, reg2], Axes -> True]

So this looks good so far. Now I wish to take the cuboid out of the cylinder leaving a notch in the cylinder. I try

reg = RegionDifference[reg1, reg2];
Region[reg, Axes -> True, PlotRange -> All]

My cylinder is chopped off short and given a bad end (away from the subtraction). Is there a workaround?

Version 11.3 for windows.

regions

share|improve this question

asked 5 hours ago

HughHugh

6,48421945

$endgroup$

• 
  
  
  

  
  1
  

  
  
  
  
  
  

  
  $begingroup$
  Wow, that's really weird. Please contact support. Honestly, I am quite disappointed with the almost nonexistent usability of the BooleanRegion facilities.
  $endgroup$
  – Henrik Schumacher
  4 hours ago
  
  

  
  
  
  


• 
  
  
  

  
  2
  

  
  
  
  
  
  

  
  $begingroup$
  I have sent it off to support.I agree about being fed up. Second time in two days you have had to help me out -for which I am very grateful.
  $endgroup$
  – Hugh
  4 hours ago
  

  
  
  
  

add a comment | 

$begingroup$

I wish to use RegionDifference to take a cube shape out of a cylinder. First I make the cylinder and cube and combine them in RegionUnion.

reg1 = Cylinder[0, 0, 0, 10, 0, 0, 0.5];
reg2 = Cuboid[5, 0, 0, 10, 1, 1];
Region[RegionUnion[reg1, reg2], Axes -> True]

So this looks good so far. Now I wish to take the cuboid out of the cylinder leaving a notch in the cylinder. I try

reg = RegionDifference[reg1, reg2];
Region[reg, Axes -> True, PlotRange -> All]

My cylinder is chopped off short and given a bad end (away from the subtraction). Is there a workaround?

Version 11.3 for windows.

regions

share|improve this question

asked 5 hours ago

HughHugh

6,48421945

$endgroup$

reg1 = Cylinder[0, 0, 0, 10, 0, 0, 0.5];
reg2 = Cuboid[5, 0, 0, 10, 1, 1];
Region[RegionUnion[reg1, reg2], Axes -> True]

reg = RegionDifference[reg1, reg2];
Region[reg, Axes -> True, PlotRange -> All]

share|improve this question

asked 5 hours ago

HughHugh

6,48421945

share|improve this question

asked 5 hours ago

HughHugh

6,48421945

asked 5 hours ago

HughHugh

6,48421945

asked 5 hours ago

HughHugh

6,48421945

2 Answers
2

active

oldest

votes

5

$begingroup$

Please note the RegionBounds:

reg1 = Cylinder[0, 0, 0, 10, 0, 0, 0.5];
reg2 = Cuboid[5, 0, 0, 10, 1, 1];
reg = RegionDifference[reg1, reg2];

bounds = RegionBounds@reg;
Region[reg, Axes -> True, PlotRange -> bounds]

share|improve this answer

answered 3 hours ago

rmwrmw

3397

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Whoa. Why did PlotRange -> All not work? Anyways, good job!
  $endgroup$
  – Henrik Schumacher
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I put in PlotRange All because I wondered if it was a plotting problem. Are there known issues with PlotRange?
  $endgroup$
  – Hugh
  1 hour ago
  

  
  
  
  

add a comment | 

3

$begingroup$

This seems to be a viable workaround although it is a shame that we have to discretize the cylinder that early.

reg1 = BoundaryDiscretizeRegion[Cylinder[0, 0, 0, 10, 0, 0, 0.5], MaxCellMeasure -> 0.001];
reg2 = BoundaryDiscretizeRegion[Cuboid[5, 0, 0, 10, 1, 1]];
reg = RegionDifference[reg1, reg2]

As a rule of thumb, I would strongly discourage applying boolean operations to graphics primitives and everything else which is neither a MeshRegion nor a BoundaryMeshRegion.

share|improve this answer

edited 3 hours ago

Jason B.

48.6k388196

answered 4 hours ago

Henrik SchumacherHenrik Schumacher

56.4k577156

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @JasonB. Thank you for the edit. That was an error that I make too often...
  $endgroup$
  – Henrik Schumacher
  1 hour ago
  

  
  
  
  

add a comment | 

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5

$begingroup$

Please note the RegionBounds:

reg1 = Cylinder[0, 0, 0, 10, 0, 0, 0.5];
reg2 = Cuboid[5, 0, 0, 10, 1, 1];
reg = RegionDifference[reg1, reg2];

bounds = RegionBounds@reg;
Region[reg, Axes -> True, PlotRange -> bounds]

share|improve this answer

answered 3 hours ago

rmwrmw

3397

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Whoa. Why did PlotRange -> All not work? Anyways, good job!
  $endgroup$
  – Henrik Schumacher
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I put in PlotRange All because I wondered if it was a plotting problem. Are there known issues with PlotRange?
  $endgroup$
  – Hugh
  1 hour ago
  

  
  
  
  

add a comment | 

5

$begingroup$

Please note the RegionBounds:

reg1 = Cylinder[0, 0, 0, 10, 0, 0, 0.5];
reg2 = Cuboid[5, 0, 0, 10, 1, 1];
reg = RegionDifference[reg1, reg2];

bounds = RegionBounds@reg;
Region[reg, Axes -> True, PlotRange -> bounds]

share|improve this answer

answered 3 hours ago

rmwrmw

3397

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  Whoa. Why did PlotRange -> All not work? Anyways, good job!
  $endgroup$
  – Henrik Schumacher
  1 hour ago
  

  
  
  
  


• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  I put in PlotRange All because I wondered if it was a plotting problem. Are there known issues with PlotRange?
  $endgroup$
  – Hugh
  1 hour ago
  

  
  
  
  

add a comment | 

$begingroup$

Please note the RegionBounds:

reg1 = Cylinder[0, 0, 0, 10, 0, 0, 0.5];
reg2 = Cuboid[5, 0, 0, 10, 1, 1];
reg = RegionDifference[reg1, reg2];

bounds = RegionBounds@reg;
Region[reg, Axes -> True, PlotRange -> bounds]

share|improve this answer

answered 3 hours ago

rmwrmw

3397

$endgroup$

reg1 = Cylinder[0, 0, 0, 10, 0, 0, 0.5];
reg2 = Cuboid[5, 0, 0, 10, 1, 1];
reg = RegionDifference[reg1, reg2];

bounds = RegionBounds@reg;
Region[reg, Axes -> True, PlotRange -> bounds]

share|improve this answer

answered 3 hours ago

rmwrmw

3397

answered 3 hours ago

rmwrmw

3397

answered 3 hours ago

rmwrmw

3397

3

$begingroup$

This seems to be a viable workaround although it is a shame that we have to discretize the cylinder that early.

reg1 = BoundaryDiscretizeRegion[Cylinder[0, 0, 0, 10, 0, 0, 0.5], MaxCellMeasure -> 0.001];
reg2 = BoundaryDiscretizeRegion[Cuboid[5, 0, 0, 10, 1, 1]];
reg = RegionDifference[reg1, reg2]

As a rule of thumb, I would strongly discourage applying boolean operations to graphics primitives and everything else which is neither a MeshRegion nor a BoundaryMeshRegion.

share|improve this answer

edited 3 hours ago

Jason B.

48.6k388196

answered 4 hours ago

Henrik SchumacherHenrik Schumacher

56.4k577156

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @JasonB. Thank you for the edit. That was an error that I make too often...
  $endgroup$
  – Henrik Schumacher
  1 hour ago
  

  
  
  
  

add a comment | 

3

$begingroup$

This seems to be a viable workaround although it is a shame that we have to discretize the cylinder that early.

reg1 = BoundaryDiscretizeRegion[Cylinder[0, 0, 0, 10, 0, 0, 0.5], MaxCellMeasure -> 0.001];
reg2 = BoundaryDiscretizeRegion[Cuboid[5, 0, 0, 10, 1, 1]];
reg = RegionDifference[reg1, reg2]

As a rule of thumb, I would strongly discourage applying boolean operations to graphics primitives and everything else which is neither a MeshRegion nor a BoundaryMeshRegion.

share|improve this answer

edited 3 hours ago

Jason B.

48.6k388196

answered 4 hours ago

Henrik SchumacherHenrik Schumacher

56.4k577156

$endgroup$

• 
  
  
  

  
  

  
  
  
  
  
  

  
  $begingroup$
  @JasonB. Thank you for the edit. That was an error that I make too often...
  $endgroup$
  – Henrik Schumacher
  1 hour ago
  

  
  
  
  

add a comment | 

$begingroup$

This seems to be a viable workaround although it is a shame that we have to discretize the cylinder that early.

reg1 = BoundaryDiscretizeRegion[Cylinder[0, 0, 0, 10, 0, 0, 0.5], MaxCellMeasure -> 0.001];
reg2 = BoundaryDiscretizeRegion[Cuboid[5, 0, 0, 10, 1, 1]];
reg = RegionDifference[reg1, reg2]

As a rule of thumb, I would strongly discourage applying boolean operations to graphics primitives and everything else which is neither a MeshRegion nor a BoundaryMeshRegion.

share|improve this answer

edited 3 hours ago

Jason B.

48.6k388196

answered 4 hours ago

Henrik SchumacherHenrik Schumacher

56.4k577156

$endgroup$

reg1 = BoundaryDiscretizeRegion[Cylinder[0, 0, 0, 10, 0, 0, 0.5], MaxCellMeasure -> 0.001];
reg2 = BoundaryDiscretizeRegion[Cuboid[5, 0, 0, 10, 1, 1]];
reg = RegionDifference[reg1, reg2]

share|improve this answer

edited 3 hours ago

Jason B.

48.6k388196

answered 4 hours ago

Henrik SchumacherHenrik Schumacher

56.4k577156

edited 3 hours ago

Jason B.

48.6k388196

edited 3 hours ago

Jason B.

48.6k388196

answered 4 hours ago

Henrik SchumacherHenrik Schumacher

56.4k577156

answered 4 hours ago

Henrik SchumacherHenrik Schumacher

56.4k577156