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Now that you understand 3-D coordinate systems, the next step to explore is how you can map 3-D objects to your computer s 2-D screen. Fortunately, XNA does all the hard mathematical work for this mapping, but you still have to understand the concept of projections and how they apply to XNA to issue the basic instructions for how to present the objects onscreen. Similarly to other gaming libraries, XNA supports two different types of projections: Perspective projection: The most common type of projection, it takes the Z distance into account and adjusts the objects accordingly. This projection makes objects appear smaller when far from the screen. Depending on the position, the objects also appear deformed, like in the real world. For example, the sides of a cube that are closer to the screen seem bigger than the farther ones. Figure 7-2 shows a graphical representation of the perspective projection. Orthogonal projection: In this type of projection, the Z component is just ignored, and the objects don t get bigger when closer to the screen or smaller when they are farther away. This projection is mostly used for 2-D games (which use a fake 3-D, just to put some sprites over others) or simpler 3-D games. Figure 7-3 presents orthogonal projection. You ll see later in this chapter how to use each projection type in XNA. However, before you start coding, you need to understand how 3-D objects are represented in a game. That s exactly what you ll do in the next section.

This code s lines specify the following information, beginning with the first line:

The most basic part of a 3-D object is a vertex. Mathematically, vertices are represented solely by their 3-D coordinates (which are mapped to the Vector3 data type in XNA), but in XNA they include extra information, such as color, texture, or normal vector information, depending on the vertex format used. Table 7-1 presents the vertex definitions provided by the XNA Framework.

WF 4.0 provides some built-in activities that enable you to manipulate a collection in your workflow. In this chapter, you ll build a console application that demonstrates these activities using a shopping list application.

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The name of the Java class implementing the JDBC Driver (the driver JAR file must be placed in the application s classpath). A JDBC URL that specifies the host and database name for JDBC connections. The database user name. The database password for the specified user. A Dialect for the database. Despite the ANSI standardization effort, SQL is implemented differently by various databases vendors. So, you must specify a Dialect. Hibernate includes built-in support for all popular SQL databases, and new dialects may be defined easily. The minimum number of JDBC connections that C3P0 will keep ready.

Defines a vertex with position and rendering color Defines a vertex with position and texture coordinates, which specify how to map a given texture over this vertex, with (0,0) being the upper-left coordinate of the texture, and (1,1) the bottom-right limit of the texture Defines a vertex with position, color, and texture coordinates Defines a vertex with position and the normal vector

The maximum number of connections in the pool. An exception will be thrown at runtime if this number is exhausted. The timeout period (in this case, 5 minutes or 300 seconds) after which an idle connection will be removed from the pool. The maximum number of prepared statements that will be cached. Caching of prepared statements is essential for best performance with Hibernate. The idle time in seconds before a connection is automatically validated.

Start by creating a console application project in Visual Studio. For the project name, use ShoppingList; for the solution name, enter 18, as shown in Figure 18-1.

Besides the vertices position and additional data, when creating 3-D objects you also need to specify how XNA will connect these vertices, according to different drawing primitives. Drawing primitives, or 3-D primitives, define to XNA how a vertices collection (known in XNA as a vertex buffer) will be rendered when the drawing functions are called. The vertices can be drawn as a set of disconnected points, as a set of lines, or as triangles. The triangle is used as a base to create any other 2-D or 3-D objects. This is because a primitive defined with only three points is guaranteed to be in a single plane, and to be convex (a line connecting any two points inside a triangle is always fully inside the triangle, which doesn t happen in some figures with four vertices). These characteristics are the key to performing the fastest rendering possible by the graphics cards, which always use triangles as the base rendering primitives. So, for example, if you want to draw a square onscreen, you ll have to use two triangles. If you want to create a cube, you ll use 12 triangles (2 for each facet), as shown in Figure 7-4.

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