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Visualize with Manipulate

To visualize mappings with parameters one can use VisualConstants option to set individual parameters as constants. But the better way is to use VisualManipulate option to make Mathematica Manipulate to interactively view the impact of the parameters changing. Moreover, one can pass any valid Manipulate function option and use any valid bounds definition for parameters.
In this tutorial you will learn how to use VisualManipulate option of the Visualize function.

Examples:

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

Necessary functions.

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Default manipulate parameters

All parameters are variables
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Some of parameters are declared as constants
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Some of parameters are used for make the Manipulate control
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Manipulate parameters with bounds

Any valid Manipulate syntax for bounds is well understood by the Visualize function
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Manipulate parameters with options

Any valid Manipulate option is well understood by the Visualize
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Manipulate any object

Any object can be manipulated
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Manipulation of visual projections

Visualization of ToroidalSpiral space curve in 3D space
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Visualization of projection of ToroidalSpiral space curve with Manipulate
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