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Line tool gsp5
Line tool gsp5





line tool gsp5

Those edges are loci, not iterations, and they were constructed separately (with far greater difficulty). The only edges are where the bases meet the lateral surface. The color overlap worked well on the hollow surfaces because they are all curved surfaces. The exterior polygons are placed in front of the interior, preventing the interior from showing through. This property is what made the hollow surface tools possible. Here it can be seen that the v4 image blends the colors, while in the v5 image, the red of the cone completely covers the blue of the frustum. When two overlapping polygons both have 100% opacity, one will cover the other completely, and the dominant surface can be controlled to a limited extent. V4 used to suffer from some unpredictable color interference effects, but that does not seem to be a problem with v5. While looking for a solution, I did some experimenting with overlapping colors. The new conic frustum does not look like much of anything until the depth is run up, so the polyhedral version has to come from a separate tool. By increasing the depth, it became a conic frustum, cone, or cylinder. When the depth had a low setting, the figure was a polyhedral frustum and could assume the form of a right pyramid or prism. I miss the utility value of the previous frustum tool. This prevents the starburst effect at the center of the frustum base.

line tool gsp5

Now the triangle bases overlap and each has its own vertex on the opposite side. A base used to be made of isosceles triangles arranged radially, sharing a vertex at the base center. This causes them to overlap and cover the gaps. The lateral faces are now twice as broad, but no less dense. To see how the solution works, look at this hollow conic frustum of depth seven. The result is that adjacent polygons have a very fine gap at their common border. The idea probably is to soften the boundaries. In v5, the polygons are rendered in a slightly different way. As the depth is increased, they approach a curve. The curved surfaces on the iterated solids are not actually curved at all. The result is even worse, owing to the moiré effect. In the image at right, the depth has been increased from 100 to 300. The natural reaction is to try increasing the depth. In the center is the same sketch as it appears in version 5. On the left is a frustum constructed in version 4. The image above illustrates the principle reason for revising the Solid Tools collection. Below is a summary of the changes Curved Surfaces and Hollow Surfaces This is partly because some of the v4 tools were not working out well in v5, and partly because of some new features available in v5. After the release of version 5 of the Geometer's Sketchpad, I made quite a few changes to Perspective Tools and Solid Tools.







Line tool gsp5