## DGKC Control Documentation

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# 3DS Patch Strips and Surfaces

When base of a Generic 3D Object has more than two knots, surface of the object consists of Patch Strips. A Patch Strip consist of patches joined by their top and/or bottom edges.

Fig 1. Patch Strip with four base knots.

If not specified otherwise, by edge of a Strip Patch we mean either left or right edges. Edges of a Patch Strip are 3D Curves.

Patch Strips allow forming of more complicated surfaces. Number of patches in a patch strip can be increased using New Knot command of 3D Debugger. This operation gives more flexibility in approximation of surface of the real object, which is being modeled.

Two patch strips can have a common edge, in which case they form a Surface.

Fig 2. Surface with two Patch Strips and four base knots.

Strictly speaking surface is a strip of patch strips. Surface is the top of surface modeling hierarchy in the software. Note that a surface can consist of a single patch strip, which is why sometimes we use Surface word for separate patch strips too.

Note also that the collection of patch strips, which represent the surface can consist of a single edge, in which case it will be a 3D Curve, or have no elements at all. In the latter case graphically the object will be represented only by the local frame of axes.

Left and right edges of a surface can coincide.  In this case any cross-entity of the surface is a closed 2D Strip. We call this type of surfaces closed although it is not correct in general geometric sense.

Fig 3. A closed surface with two base knots.

The software can generate additional vertical (orthogonal to z-axis) patches to cover back and front edges of a closed surface. (Cover Edge check boxes in the "Current Object">Options). When these patches are present, or when all Patch Strips converge at top and Bottom, the surface is closed in the common geometrical sense. Objects, which have such a surface appear as Solid Objects in 3D.

Fig 4. Solid Object.

Two vertical patches mentioned here are called Front and Back Surfaces (or Top and Bottom Surfaces). The rest of the object surface is called side surface.

Edges of a patch strip can merge:

Fig 5. Surface with two patch strips. Edges of one strip co inside between knots 2 and 3.