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First and foremost, using 3D in the display list is not what most consider a 3D engine, but rather 2.5D or a billboard engine. It only goes as far as projecting DisplayObjects in perspective. But all these objects are at, like the face in Figure 15-4 and the text in Figure 15-2. In 14 you reviewed all the types of display object. Can you think of a single one that has any thickness There are none. Display objects are like pieces of paper or billboards. You can view them in perspective, but if you want to show an object with more volume, it s not like you can load in a 3D model and display it in the display list. You could, potentially, construct one like papercraft by creating a display object for each face. This means that 3D using the display list is well suited to some applications. It could power a game with at sprites. Before the advent of really good 3D engines and hardware 3D acceleration, games layered at art in 3D space, and people still had a good time playing games like Wolfenstein 3D, DOOM, and Duke Nukem 3D. All of these games placed at sprites in a perspective 3D space. You could use it to create a multilayered UI; oddly, most user interfaces are still at, but 2D elements like windows and panels presented in 3D can be a distinctive experience. Think of iTunes Cover Flow, the signature ip seen in the iPhone OS, or the Xbox 360 Dashboard.

34. D. L. Lamer. A distributed, operating system based, blackboard architecture for real-time control. In International Conference on Industrial and Engineering Applications of Artificial Intelligence and Expert Systems, 1990.

Counting Techniques (CD Only)

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In a proper 3D package, you d hopefully think in terms of scenes, containing models, some lights, and at least one camera. You learned how the display list is organized in 14, so you ll remember that it s not at all like that. When Flash Player goes through the display list to render a scene, it uses a projection matrix to render the 3D space de ned with the origin at the corner of the stage. On the other hand, a camera (like the rst-person view in any FPS game) is mobile: it moves around the scene pointing in every direction. Making a 3D application with display list 3D where the camera is anything but xed is not impossible but would require some feats of abstract thinking. (So you may want to take that DOOM clone that I just told you was possible and put it on rails.)

As sample spaces become larger, complete enumeration is dif cult. Instead, counts of the number outcomes in the sample space and in various events are often used to analyze the random experiment. These methods are referred to as counting techniques and described on the CD.

Another implication of the fact that the display list is a display list, not a 3D engine, is the lack of z-sorting. Z-sorting automatically draws stuff that s closer to you (its position has a greater z value) on top of stuff that s farther away. If you re watching a giant robot crushing a schoolyard right in front of you, you ll see the robot overlapping the mountain range in the distance, not the other way around. But the display list, in 2D or 3D, obeys the depths of its children to determine layering order. This is a fatal omission for any 3D engine, because things look horrendously wrong when placed out of order. You can easily write a simple z-sorting algorithm that looks at the position of each DisplayObject to set its depth. An algorithm that works for multiple objects is contributed by Drew Cummins at http://bit.ly/cummins-z-sort. This works well, but it can t patch one aw: display objects have area; they aren t single in nitesimal points. If you only look at the position of the center of an object especially a long one you can make incorrect assumptions about its layering.

EXERCISES FOR SECTION 2-1

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