diff -u -r xscreensaver-5.08/hacks/glx/voronoi.c xscreensaver-5.08-fix/hacks/glx/voronoi.c
--- xscreensaver-5.08/hacks/glx/voronoi.c	2008-08-02 12:58:45.000000000 -0700
+++ xscreensaver-5.08-fix/hacks/glx/voronoi.c	2008-12-28 00:51:30.000000000 -0800
@@ -144,29 +144,24 @@
   GLfloat step = M_PI * 2 / faces;
   GLfloat s2 = step/2;
   GLfloat th;
-  GLfloat x, y, x0, y0;
+  GLfloat x, y;
 
-  glBegin(GL_TRIANGLES);
+  glBegin(GL_TRIANGLE_FAN);
 
   th = 0;
   x = 1;
   y = 0;
-  x0 = cos (s2);
-  y0 = sin (s2);
 
+  glVertex3f(0, 0, 1);
   for (i = 0; i < faces; i++)
     {
-      glVertex3f(0,  0, 1);
       glVertex3f(x, y, 0);
 
       th += step;
-      x0 = cos (th + s2);
-      y0 = sin (th + s2);
-      x  = cos (th);
-      y  = sin (th);
-
-      glVertex3f(x, y, 0);
+      x = cos (th);
+      y = sin (th);
     }
+  glVertex3f(1, 0, 0);
   glEnd();
   return faces;
 }