Thursday, July 29, 2010

Graphical Modeling AutoCAD2000 Football



3DS Max modeling is football appeared in newspapers and magazines on the topic of n-see, one is inspired popular. Only in its production process in the size of the data used in some of the calculations are obtained in advance by the author, this mathematical foundation for me and so very shallow, but like probing people, is indeed a deficiency.

Of course, this does not prevent us from modeling the pace of more than one way. Now we have to use the drawing features of AutoCAD accurate, without calculation, do not even know how many black and white football block, complete with mapping to modeling soccer.

There are several shows here before:

1. This paper and all AutoCAD applications for the exchange of technology, not to encourage everyone to use it modeling. In all fairness, AutoCAD's 3D capabilities are not strong;

2. This paper describes the main idea and process, the specific command operations omitted. Little experience of friends should be easy to understand;

3. As the vector, just do not care the absolute size, we have to grasp the key is the block relationship between the relative form and position. If size requirements can also be used in the final order to adjust the size scale.

We know that football framework is a combination of two polygons, then, first of all to establish any size of a regular pentagon, hexagon one each. By moving the reference to order the Pentagon to adjust zoom to its bottom edge and hexagonal completely equal and overlap (see Figure 1).

At this point, the two polygons are still the same plane, but it should be between in the face of a angle. In this case, we let the Pentagon to keep still, by rotating the hexagon to form the angle. However, how to determine the angle of rotation value it? Then, you need to make secondary line to assist in the analysis: the cross point B, C and point B, D, respectively for the two tectonic line (xline), through point A perpendicular to line BC, AO, at the same time, for ease of understanding, we as a temporary reference hexagon, to dashed line. And as shown in Figure 2 to adjust UCS coordinates.




In the mapping process is often a need to frequently adjust the coordinate system, to improve the efficiency, we can adjust the settings saved well to facilitate the subsequent call.

Command: ucs
Enter an option [New / Move / orthoGraphic / Prev / Restore / Save / Del / Apply /? / World]
: S
Enter name to save current UCS or [?]: Int

In this case, we named this the user coordinate system "int".

Not difficult to find through observation: hexagonal rotating in place, A point should be and views to the right of the dotted line adjacent hexagonal symmetry point A''coincidence. From this, a straight line BC as the rotation axis should be rotated to the hexagon vertices A are included in the ZX plane at this time.

Figure converted coordinate system, and switch perspective. To point O as the center of a circle to line OA as radius for a round O. At this point line OB is perpendicular to the plane of circle O (see Figure 3).




Call Back stored int coordinate system (see Figure 4).



Command: ucs
Enter an option [New / Move / orthoGraphic / Prev / Restore / Save / Del / Apply /? / World]
: R
Enter name of UCS to restore or [?]: Int

Can be seen, dwarfed A circle is the point of the rotation trajectory. The circumference of the intersection with the ZX plane is hexagonal rotation in place at the location of point A should be.

The use of cut (trim) an order for the shear boundary line BD with space projection (project) shear mode circular O's side of the cut (see Figure 5). Be the arc of the endpoint P is what we need the intersection.



Remove auxiliary line switching angle for the SW. To point O serving as the base, rotating hexagonal-to-point A and point P coincide (see Figure 6).



Now, a hexagon has been rotating in place around the pentagon surrounding the other four we directly use the array (array) to complete. Pentagon for the two vertices connected with the auxiliary line on the side of the midpoint, the intersection of E center of mass, is the array reference point. Use circular (polar) array, the results shown in Figure 7.



Spherical to continue to expand. Then a hexagon as the base level, 360 掳 circular array of three pentagon (see Figure 8).




Needless to say we all know should be repeated the following array of. If the above is correct operation of each step, then we will get a seamless framework (see Figure 9).




Observed with the 3D orbit command rotation of this frame, you will find that it was such a rule: any of a polygon must have been hot core symmetry plane polygon corresponding to another, with the List command to inquire about their coordinates can be confirmed. On this basis, we can easily find hot core. Linear (Line) to connect the two symmetrical points, which point is hot core. Set it as P, for a ball (sphere), took one end of the point of capture radius of the framework (see Figure 10).



Cesi melon we will live it, to any two adjacent vertices of the polygon and point P together constitute the cut surface segmentation ball (slice). We just need the piece of pentagons and hexagons. With shade mode display (see Figure 11). At this point we can see that the role of the framework.



In the mapping process, if we can reasonably set up and use layer (layer), will enable us to work more with less. In this case, we will different types of objects were placed in a different layer, control layer to facilitate the operation was hidden and locked, and can specify the level of different color, so black and white football pattern presented.

As the function of AutoCAD software constraints, we have to make this step: a concentric sphere again, the radius of a sphere smaller than the previous. By subtraction (subtract) Boolean operation, we will cut two pieces of watermelon seeds and pulp removed, leaving the melons (see Figure 12).



The melons radial fillet on all sides, and form a coherent phase trimming. Then once around the outer surface of the melons fillet, note the values of radius twice with melons the size of the ratio of coordination (see Figure 13).



Like a few steps in front of an array of steps, now come to some circular array, but this time the object is no longer a polygon, but the melons up. Of course, the use of 3D mirror or align order to achieve the same objective, which we see the use of habits.

With a block of "melons" are spliced to the surface, football modeling is complete. We look at it a simple rendering (see figure XIV). If you are interested, you can put it in other devices with advanced rendering software rendering, as texture, the effect will be better.

Well, AutoCAD2000 football model introduced here on, I hope you can gain something after reading this article, giving top priority to make more wonderful model!







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