Curves visualization

This tutorial illustrates how to visualize plane and space curves using Atlas package.
To visualize a curve you can use the Visualize function with the following syntax: Visualize[{y1, y2,..., yn}] where {y1, y2,..., yn} is a list with the curve parametric equations.
If you define the curve parametric equations as a variable like that eqs = {y1, y2,..., yn} then you have to use the following syntax: Visualize[Evaluate[eqs]] because the Visualize function has attribute HoldAll.
You can use any option for native Mathematica plot functions with the Visualize function. For instance: PlotLabel, ViewPoint etc.

Examples:

Visualize[{expr1, expr2,..., exprn}]generates visual presentations of m-dimentional mapping, where m is number of indeterminates in {expr1, expr2,..., exprn}

Necessary functions.

Loading Atlas package
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Plane curves

Astroid

Visualization with parameter a as a variable
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Visualization with fixed parameter a
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Epicycloid

Visualization with parameters a and b as variables
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Visualization with fixed parameters a and b
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Epitrochoid

Visualization with parameters a and b as variables
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Visualization with parameter b as a variable
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Visualization with fixed parameters a, b, h
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Space curves

Toroidal Spiral with Manipilate

Visualization of Toroidal Spiral
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Visualization of Toroidal Spiral projections
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Rotating Sine Wave with Manipilate

Visualization of Rotating Sine Wave
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Visualization Rotating Sine Wave Projections
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Hyperboloid Sine Wave with Manipilate

Visualization of Hyperboloid Sine Wave
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Visualization of Hyperboloid Sine Wave projections
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