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Hypotrochoid

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Hypotrochoid(outerRadius, innerRadius, distFromInnerCenter, [rotationDegrees])

Augments: Curve

A curve evaluator object for a curve drawn by a circle that rolls along the inside of another circle, whose position is fixed, with a center of (0,0).

The following curves can be generated with this class (in the following descriptions, O = outerRadius, R means innerRadius, and D = distFromInnerCenter).

This class is considered a supplementary class to the Public Domain HTML 3D Library and is not considered part of that library.

To use this class, you must include the script "extras/evaluators.js"; the class is not included in the "h3du_min.js" file which makes up the HTML 3D Library. Example:

<script type="text/javascript" src="extras/evaluators.js"></script>

Parameters

Methods

Hypotrochoid#arcLength(u)

Finds an approximate arc length (distance) between the start of this curve and the point at the given U coordinate of this curve.

Parameters

Return Value

The approximate arc length of this curve at the given U coordinate. (Type: Array.<number>)

Hypotrochoid#endPoints()

Gets the endpoints of this curve. For this curve evaluator object, the curve starts at 0 and ends at π*2.

Return Value

An array containing the two endpoints of the curve. The first number is the start of the curve, and the second number is the end of the curve. (Type: Array.<number>)

Hypotrochoid#evaluate(u)

Finds the coordinates of a point on the curve from the given U coordinate.

Parameters

Return Value

A 3-element array specifying a 3D point. Only the X and Y coordinates can be other than 0. (Type: Array.<number>)

(static) Hypotrochoid.rose(n, distFromInnerCenter, [rotationDegrees])

Creates a curve evaluator object for a rose, a special form of hypotrochoid.

Parameters

Return Value

The resulting curve evaluator object. (Type: Hypotrochoid)

Hypotrochoid#scaleTo(radius)

Creates a modified version of this curve so that it fits the given radius.

Parameters

Return Value

Return value. (Type: Hypotrochoid)

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