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Size: 112 KB
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Title: 3D Graphics
Book Description: This WorkBook illustrates various uses for 3D Graphics. On the first page is a simulation that allows readers to define a plane, then to view, in three dimensions, the way the plane intersects a standard cone. The entire picture may be rotated, and viewed from various angles. Next, the reader may view the two-dimensional graph of the same intersection. In this way, the idea of "conic section" is reinforced. On the next page, is a differential equation solver for ordinary differential equations in R3. The Lorenz equations are entered when it comes up, but the reader may change the equation at will. When the reader solves the Lorenz equations, he sees a "Lorenz Attractor" in R3. He may "walk around" the attractor, zoom in on any part, and so on. The remaining two pages show how to draw solid objects (polyhedra) in 3D Graph windows. They show respectively, a regular tetrahedron, and a regular icosahedron.
Author: James White
Suggested Use: Visualization of conic sections
Topics: lorenz attractor, conic sections, platonic solids,differential equations, chaos, tutorial
Number of Pages: 5
Animation: Yes
Grade
Level: 