Intersection of Two Polygonal Cylinders
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This Demonstration shows the intersection of two polygonal cylinders. The built-in Mathematica function RegionFunction is used to make cutouts and show that the cylinders make possible pipe connections.
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Contributed by: Erik Mahieu (December 2017)
Open content licensed under CC BY-NC-SA
Snapshots
Details
The and
functions define the composite curve of the
-gonal cross section of the polygonal cylinder [1]:
,
.
The parametric equation of a polygonal cylinder with sides and radius
rotated by an angle
around its axis is:
with parameters
and
.
Reference
[1] E. Chicurel-Uziel, "Single Equation without Inequalities to Represent a Composite Curve," Computer Aided Geometric Design, 21(1), 2004 pp. 23–42. doi:10.1016/j.cagd.2003.07.011.
Permanent Citation