Wolfram Function Repository
Instant-use add-on functions for the Wolfram Language
Function Repository Resource:
Represent a 3D annulus with rounded edges
ResourceFunction["RoundedAnnulus3D"][{{x1,y1,z1},{x2,y2,z2}},{rinner,router}] represents a 3D annulus around the line from {x1,y1,z1} to {x2,y2,z2} with rounded edges with inner radius rinner and outer radius router. |
RoundingRadius | {0.1,0.1} | the radii of rounded edges |
r | use r for both the inner and the outer radius |
{rin,rout} | separate setting for both radii |
A unit radius and two units height 3D annulus:
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A 3D annulus from the origin to {1,-1,1} with inner radius 1/2:
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Differently styled annuli:
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Specify radii:
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Specify centers:
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Annuli with different directions:
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Specify position, direction, as well as inner and outer radii:
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Short form for a 3D annulus centered at the origin with a radius 1:
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Color directives specify the face color of each annulus:
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FaceForm can be used to specify the styles of the interiors as well as exteriors:
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Different properties can be specified for the front and back faces using FaceForm:
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Opacity specifies the face opacity:
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Decompose the annulus into its components and apply different styling to each:
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Adjust how rounded the edges are:
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Adjust the inner and outer edges independently:
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Create a model of a wheel:
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Use it to create a model of a chassis:
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RoundedAnnulus3D is a 3D generalization of Annulus in 2D:
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The resource function RoundedCylinder effectively corresponds to RoundedAnnulus3D with zero inner radius:
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PieChart3D or SectorChart3D can be used to create 3D rounded annuli:
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Get the graphical primitive from PieChart3D:
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Compare with RoundedAnnulus3D:
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Despite being seemingly the same, the two annuli have a very different internal structure:
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When the two endpoints coincide, no annulus is created:
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Radii are assumed to be non-negative real numbers:
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When the inner radius exceeds the outer one, a warning is issued and artifacts appear:
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When rounding radii exceed the height of the annulus, a warning is issued and artifacts appear:
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When the sum of rounding radii exceeds the thickness of the annulus, a warning is issued and artifacts appear:
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Random unit annuli:
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Concentric annuli:
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Use the degenerate radius specification to create a spool-like object:
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Create a model of a Roman amphitheater:
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This work is licensed under a Creative Commons Attribution 4.0 International License