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3ds Max 2012 Bible - Kelly L. Murdock [76]

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is a mathematical factor for computing how the knot winds about its vertical axis. The maximum value is 25, which makes the knot resemble a tightly wound spool. The Q value causes the knot to wind horizontally. It also has a maximum value of 25. Setting both values to the same number results in a simple circular ring.

Figure 5.23 shows some of the beautiful shapes that are possible by altering the P and Q values of a Torus Knot. These Torus Knots have these values: the first has P = 3, Q = 2; the second has P = 1, Q = 3; the third has P = 10, Q = 15; the fourth has P = 15, Q = 20; and the fifth has P = 25, Q = 25.

FIGURE 5.23

Various Torus Knots display the beauty of mathematics.


When the Base Curve is set to Circle, like those in Figure 5.23, the P and Q values become disabled, and the Warp Count and Warp Height fields become active. These fields control the number of ripples in the ring and their height. Figure 5.24 shows several possibilities. From left to right, the settings are Warp Count = 5, Warp Height = 0.5; Warp Count = 10, Warp Height = 0.5; Warp Count = 20, Warp Height = 0.5; Warp Count = 50, Warp Height = 0.5; and Warp Count = 100, Warp Height = 0.75.

FIGURE 5.24

Torus Knots with a Circle Base Curve are useful for creating impressive rings.


In addition to the Base Curve settings, you can also control several settings for the Cross Section. The Radius and Sides values determine the size of the circular cross section and the number of segments used to create the cross section. The Eccentricity value makes the circular cross section elliptical by stretching it along one of its axes. The Twist value rotates each successive cross section relative to the previous one creating a twisting look along the object. The Lumps value sets the number of lumps that appear in the Torus Knot, and the Lump Height and Offset values set the height and starting point of these lumps.

The Smooth options work just like those for the Torus object by smoothing the entire object, just the sides, or none. You can also set the U and V axis Offset and Tiling values for the mapping coordinates.

L-Ext

The L-Ext primitive stands for L-Extension. You can think of it as two rectangular boxes connected at right angles to each other. To create an L-Ext object, you need to first drag to create a rectangle that defines the overall area of the object. Next, you drag to define the Height of the object, and finally, you drag to define the width of each leg.

The Parameters rollout includes dimensions for Side and Front Lengths, Side and Front Widths, and the Height. You can also define the number of Segments for each dimension.

C-Ext

The C-Ext primitive is the same as the L-Ext primitive with an extra rectangular box. The C shape connects three rectangular boxes at right angles to each other.

The Parameters rollout includes dimensions for Side, Front, and Back Lengths and Widths, and the Height. You can also define the number of Segments for each dimension. These primitives are great if your name is Clive Logan or Carrie Lincoln. No, actually, these primitives are used to create architectural beams.

Hose

The Hose primitive is a flexible connector that can be positioned between two other objects. It acts much like a spring but has no dynamic properties. In the Hose Parameters rollout, you can specify the Hose as a Free Hose or Bound to Object Pivots. If the Free Hose option is selected, you can set the Hose Height. If the Bound to Object Pivots option is selected, then two Pick Object buttons appear for the Top and Bottom objects. Once bound to two objects, the hose stretches between the two objects when either is moved. You can also set the Tension for each bound object.

For either the Bound Hose or Free Hose, you can set the number of Segments that make up the hose; whether the flexible section is enabled; to smooth along the Sides, Segments, neither, or all; whether the hose is Renderable; and to Generate Mapping Coordinates for applying texture maps. If the flexible section is enabled, then you can set where the flexible section

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