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Reye's Configuration
Thesis

Reye's Configuration

陳寶如
Masters, 國立清華大學, 數學系
2011

Abstract

雷耶構形 雷耶構形
We are interested in how to use Projection Geometry to investigate and explain the properties of Reye’s configuration and regular dodecahedron projection about collinear and concurrent. When we draw the straight line for every sides of their corresponding face of the regular polyhedron projection, they are perspective from a point if their corresponding vertices are joined by concurrent lines. We call the point of concurrence the perspective center. We draw the straight lines for the diagonal line of their corresponding face of the polyhedron projection, and then we find that they are perspective from a line if the extensions of the corresponding sides and diagonal lines meet in collinear points. The line joining these points is called perspective axis.

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