+ /* Magic Numbers: It is possible to create a dodecahedron by attaching two pentagons to each face of
+ * of a cube. The coordinates of the points are:
+ * (+-x,0, z); (+-1, 1, 1); (0, z, x )
+ * where x = 0.61803398875 and z = 1.61803398875.
+ */
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.0, 0.525731112119, 0.850650808354 ) ; glVertex3d ( 0.0, 1.61803398875, 0.61803398875 ) ; glVertex3d ( -1.0, 1.0, 1.0 ) ; glVertex3d ( -0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( 0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( 1.0, 1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.0, 0.525731112119, -0.850650808354 ) ; glVertex3d ( 0.0, 1.61803398875, -0.61803398875 ) ; glVertex3d ( 1.0, 1.0, -1.0 ) ; glVertex3d ( 0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( -0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( -1.0, 1.0, -1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.0, -0.525731112119, 0.850650808354 ) ; glVertex3d ( 0.0, -1.61803398875, 0.61803398875 ) ; glVertex3d ( 1.0, -1.0, 1.0 ) ; glVertex3d ( 0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( -0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( -1.0, -1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.0, -0.525731112119, -0.850650808354 ) ; glVertex3d ( 0.0, -1.61803398875, -0.61803398875 ) ; glVertex3d ( -1.0, -1.0, -1.0 ) ; glVertex3d ( -0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( 0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( 1.0, -1.0, -1.0 ) ;
+ glEnd () ;
+
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.850650808354, 0.0, 0.525731112119 ) ; glVertex3d ( 0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( 1.0, -1.0, 1.0 ) ; glVertex3d ( 1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( 1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( 1.0, 1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( -0.850650808354, 0.0, 0.525731112119 ) ; glVertex3d ( -0.61803398875, 0.0, 1.61803398875 ) ; glVertex3d ( -1.0, 1.0, 1.0 ) ; glVertex3d ( -1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( -1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( -1.0, -1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.850650808354, 0.0, -0.525731112119 ) ; glVertex3d ( 0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( 1.0, 1.0, -1.0 ) ; glVertex3d ( 1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( 1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( 1.0, -1.0, -1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( -0.850650808354, 0.0, -0.525731112119 ) ; glVertex3d ( -0.61803398875, 0.0, -1.61803398875 ) ; glVertex3d ( -1.0, -1.0, -1.0 ) ; glVertex3d ( -1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( -1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( -1.0, 1.0, -1.0 ) ;
+ glEnd () ;
+
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.525731112119, 0.850650808354, 0.0 ) ; glVertex3d ( 1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( 1.0, 1.0, -1.0 ) ; glVertex3d ( 0.0, 1.61803398875, -0.61803398875 ) ; glVertex3d ( 0.0, 1.61803398875, 0.61803398875 ) ; glVertex3d ( 1.0, 1.0, 1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( 0.525731112119, -0.850650808354, 0.0 ) ; glVertex3d ( 1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( 1.0, -1.0, 1.0 ) ; glVertex3d ( 0.0, -1.61803398875, 0.61803398875 ) ; glVertex3d ( 0.0, -1.61803398875, -0.61803398875 ) ; glVertex3d ( 1.0, -1.0, -1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( -0.525731112119, 0.850650808354, 0.0 ) ; glVertex3d ( -1.61803398875, 0.61803398875, 0.0 ) ; glVertex3d ( -1.0, 1.0, 1.0 ) ; glVertex3d ( 0.0, 1.61803398875, 0.61803398875 ) ; glVertex3d ( 0.0, 1.61803398875, -0.61803398875 ) ; glVertex3d ( -1.0, 1.0, -1.0 ) ;
+ glEnd () ;
+ glBegin ( GL_LINE_LOOP ) ;
+ glNormal3d ( -0.525731112119, -0.850650808354, 0.0 ) ; glVertex3d ( -1.61803398875, -0.61803398875, 0.0 ) ; glVertex3d ( -1.0, -1.0, -1.0 ) ; glVertex3d ( 0.0, -1.61803398875, -0.61803398875 ) ; glVertex3d ( 0.0, -1.61803398875, 0.61803398875 ) ; glVertex3d ( -1.0, -1.0, 1.0 ) ;
+ glEnd () ;