Spiral construction of a geodesic dome

Computer graphics processing and selective visual display system – Computer graphics processing – Three-dimension

Reexamination Certificate

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Reexamination Certificate

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07034826

ABSTRACT:
Four predefined vertices define an icosahedron used for constructing a geodesic dome. Each section of the icosahedron, including the top, center, and bottom, is sequentially processed to construct a plurality of vertices and a plurality of indices of triangles on the surface of the geodesic dome. One of the inputs defines the order of the geodesic dome, which determines the number of vertices. A plurality of transformation matrices are employed to rotate a three-dimensional vector about a selected axis through a predefined angle to generate the vertices. The indices for the triangles are constructed as either triangle strips or triangle lists, for each of the three sections of the icosahedron. Vertices are stored in a vertex buffer and indices in an index buffer. The vertices are selected to form a plurality of edges disposed at an equal distance from the center of the icosahedron.

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