Mathematica Packages for Plane Curves

Mathematica Packages

• WolframLang: Plane Curve Plot Package 📦
• WolframLang: Plane Curve Formulas Package 📦
• WolframLang: Plane Curve Generator Package 📦

TrochoidPlot

xtodo updated in progress

This package contain six graphics functions. TrochoidPlot, HypoTrochoidPlot, EpiTrochoidPlot, TrochoidGenerator, HypoTrochoidGenerator, and EpiTrochoidGenerator. The *Plot functions draw trochoid curves. The *Generator functions generates animation.

Some examples of graphics and movies generated by this package can be seen here: Epicycloid and Hypocycloid

TrochoidShow

xtodo updated in progress

This package define two graphic functions: MultiTrochoidPlot and TrochoidMovie. MultiTrochoidPlot plots multiple hypotrochoid and epitrochoids of various parameter settings, TrochoidMovie[] generates animations showing the effect of gradually varing one or more parameter on the curve generated. In other words, this package will draw SpiralGraphs and its mathematical variations.

Some examples of graphics and movies generated by this package can be seen here: Epicycloid and Hypocycloid .

RuledSurfacePlot

xtodo updated in progress

Ruled surface are surfaces that can be generated by moving a line in space. This package exports several functions that plot ruled surfaces, including: RuledSurfacePlot[], CylinderPlot[], Oloid[], RegularTetrahedron[], Cube[], RightCircularCone[], HyperboloidOfOneSheet[], Helicoid[], HyperbolicParaboloid[]. The RuledSurfacePlot[] takes two space curves and connect them by lines to form a ruled surface.

Other Mathematica packages:

• A package for graphing complex functions and planar transformations. See Geometric Transformation on the Plane.
• A packge for graphing nested inversion of circles. See Geometric Transformation on the Plane.
• A package for graphing plane tiling and symmetry. See Plane Tiling Mathematica Package.