OpenSCAD Minkowski: Difference between revisions

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{{Docnav
|[[OpenSCAD_Hull|Hull]]
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|[[OpenSCAD_Workbench|OpenSCAD]]
|IconL=OpenSCAD_Hull.svg
|IconR=
|IconC=Workbench_OpenSCAD.svg
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{{GuiCommand
{{GuiCommand|Name=OpenSCAD Minkowski|MenuLocation=OpenSCAD → Minkowski‏‎||Workbenches=[[OpenSCAD Module|OpenSCAD]]|Shortcut=none|SeeAlso=---}}
|Name=OpenSCAD Minkowski
|MenuLocation=OpenSCAD → Minkowski
‏‎|Workbenches=[[OpenSCAD_Workbench|OpenSCAD]]
}}


==Description== <!--T:2-->
==Description== <!--T:2-->
Applies a minkowski sum to selected shapes.
<br />
<br />
'''Mathematical Definition:'''
<br />
Add each element of subset A to each element of subset B to get minkowski sum.
<br />
'''Geometrical Definition:'''
<br />
Sweep element A along all boundaries of element B. Resulting space which is occupied by both elements
is minkowski sum.
<br />
<br />
[[Image:Minkowski_example.jpg|An example of a minkowski sum]]
<br />
Example of minkowski sum applied to cylinder and cube.
<br />
Note that the height of minkowski sum is height of cylinder plus height of cube.


==Use== <!--T:3-->
<!--T:7-->
Applies a Minkowski sum to selected shapes.
#Select shapes in Tree-View or in 3D-View
#Click on [[Image:OpenSCAD_Minkowski.png|32px]] or choose {{KEY| OpenSCAD}} {{KEY|[[Image:OpenSCAD_Minkowski.png|32px]] Minkowski}} from the top menu.


==Limitations== <!--T:4-->
===Mathematical Definition=== <!--T:13-->

Feature needs OpenSCAD installed and configured in {{KEY| Edit}} → {{KEY| Preferences}}
<!--T:14-->
<br />
Add each element of subset A to each element of subset B to get Minkowski sum.

===Geometrical Definition=== <!--T:15-->

<!--T:16-->
Sweep element A along all boundaries of element B. Resulting space which is occupied by both elements is Minkowski sum.

<!--T:17-->
[[Image:Minkowski_example.jpg|An example of a Minkowski sum]]

<!--T:18-->
Example of Minkowski sum applied to cylinder and cube.<br>
Note: that the height of Minkowski sum is height of cylinder plus height of cube.

==Usage== <!--T:3-->

<!--T:8-->
# Select shapes in [[Tree_view|Tree view]] or in [[3D_view|3D view]]
# Click on [[Image:OpenSCAD_Minkowski.svg|32px]] or choose {{KEY| OpenSCAD}} → {{KEY|[[Image:OpenSCAD_Minkowski.svg|32px]] Minkowski}} from the top menu.

==Limitations== <!--T:19-->

<!--T:4-->
Feature needs OpenSCAD installed and configured in {{KEY|Edit}} → {{KEY|Preferences}}


==Notes== <!--T:5-->
==Notes== <!--T:5-->
<br />



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[[Category:User Documentation]]
{{Docnav
[[Category:Command Reference]]
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|[[OpenSCAD_Workbench|OpenSCAD]]
|IconL=OpenSCAD_Hull.svg
|IconR=
|IconC=Workbench_OpenSCAD.svg
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Latest revision as of 18:38, 26 December 2022

OpenSCAD Minkowski

Menu location
OpenSCAD → Minkowski

‏‎

Workbenches
OpenSCAD
Default shortcut
None
Introduced in version
-
See also
None

Description

Applies a Minkowski sum to selected shapes.

Mathematical Definition

Add each element of subset A to each element of subset B to get Minkowski sum.

Geometrical Definition

Sweep element A along all boundaries of element B. Resulting space which is occupied by both elements is Minkowski sum.

An example of a Minkowski sum

Example of Minkowski sum applied to cylinder and cube.
Note: that the height of Minkowski sum is height of cylinder plus height of cube.

Usage

  1. Select shapes in Tree view or in 3D view
  2. Click on or choose OpenSCAD Minkowski from the top menu.

Limitations

Feature needs OpenSCAD installed and configured in EditPreferences

Notes