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JoinForm[type]

is a graphics directive that specifies what type of joins should be used to connect segments of lines, tubes, edges, and related primitives.

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JoinForm

JoinForm[type]

is a graphics directive that specifies what type of joins should be used to connect segments of lines, tubes, edges, and related primitives.

Details

  • The following types can be used in JoinForm[type]:
  • "Bevel"truncate the corner
    "Miter"extend the corner toward a point
    {"Miter",d}extend by at most d times the line width
    "Round"cover the corner with a disk
    Noneequivalent to "Bevel"
  • JoinForm works in both 2D and 3D.
  • In 2D, the default is JoinForm[{"Miter",3.25}]. In 3D, the default is JoinForm["Round"].
  • JoinForm[{"Miter",1/Sin[θ/2]}] gives sharp corners for any join angle larger than θ.
  • JoinForm can be used inside EdgeForm.

Examples

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Basic Examples  (2)

A rounded line join:

Wolfram Language code: Graphics[{JoinForm["Round"], Thickness[.2], Line[{{-1, -0.5}, {0, 0.5}, {1, -0.5}}]}, PlotRange -> 1.5]

A rounded tube join:

Wolfram Language code: Graphics3D[{JoinForm["Round"], Tube[{{-1, -1, -1}, {0, 0, 1}, {1, 1, -1}}, 0.2]}]

Scope  (3)

Specify joining of line segments:

Wolfram Language code: Table[Graphics[{JoinForm[j], Thickness[.2], Line[{{-1, -0.5}, {0, 0.5}, {1, -0.5}}]}, PlotRange -> 1.5, PlotLabel -> j], {j, {"Bevel", "Round", "Miter"}}]
Wolfram Language code: Table[Graphics3D[{JoinForm[j], Thickness[.1], Line[{{-1, -1, -1}, {0, 0, 1}, {1, 1, -1}}]}, PlotRange -> 1.5, PlotLabel -> j], {j, {"Bevel", "Round", "Miter"}}]

Specify joining of tubes:

Wolfram Language code: Table[Graphics3D[{JoinForm[j], Tube[{{-1, -1, -1}, {0, 0, 1}, {1, 1, -1}}, 0.2]}, PlotRange -> 1.5, PlotLabel -> j], {j, {"Bevel", "Round", "Miter"}}]

Use EdgeForm to control the joins of edge lines:

Wolfram Language code: p2 = Polygon[{{-1, 0}, {0, Sqrt[3]}, {1, 0}}];
Wolfram Language code: Table[Graphics[{Pink, EdgeForm[{Thickness[0.05], JoinForm[j]}], p2}, PlotLabel -> j], {j, {"Bevel", "Round", "Miter"}}]

Neat Examples  (1)

Different line cap and join forms:

Wolfram Language code: With[{points = {{0, 0.3}, {-0.5, 0}, {0.5, 0}, {0.3, 0.3}}}, Graphics[{Thickness[0.1], {Blue, CapForm["Square"], JoinForm["Miter"], Line[points]}, {Green, CapForm["Round"], JoinForm["Round"], Line[points]}, {Red, CapForm["Butt"], JoinForm["Bevel"], Line[points]}}, PlotRange -> 1]]
Wolfram Research (2008), JoinForm, Wolfram Language function, https://reference.wolfram.com/language/ref/JoinForm.html.

Text

Wolfram Research (2008), JoinForm, Wolfram Language function, https://reference.wolfram.com/language/ref/JoinForm.html.

CMS

Wolfram Language. 2008. "JoinForm." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/JoinForm.html.

APA

Wolfram Language. (2008). JoinForm. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/JoinForm.html

BibTeX

@misc{reference.wolfram_2026_joinform, author="Wolfram Research", title="{JoinForm}", year="2008", howpublished="\url{https://reference.wolfram.com/language/ref/JoinForm.html}", note=[Accessed: 12-June-2026]}

BibLaTeX

@online{reference.wolfram_2026_joinform, organization={Wolfram Research}, title={JoinForm}, year={2008}, url={https://reference.wolfram.com/language/ref/JoinForm.html}, note=[Accessed: 12-June-2026]}