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[ REQ 5698]:

I wanted to view a certain cycle (piece-wise continuous simple closed 
curve) in Euclidean 3-space, and was able to do so using geomview.  
However, the particular figure I would like to view is build up from 
line segments, which naturally terminate and are connected at vertices 
within a cube.  I wanted to have geomview draw in these vertices as 
dots or tiny spheres, so I included them in the input which follows 
this letter.  I only found a "SPHERE" command which draws a highly 
refined simplicial decomposition of the sphere, and I need 78 of these 
of very small diameter to represent the vertices.  The resulting 
figure was pleasing to the eye, but needless to say, if I try to rotate
the figure, my computer is strained to do the calculations in real time
and begins swapping onto the hard drive, etc.  Since I do not need a 
highly refined simplicial decomposition of the sphere, is there a less
CPU intensive way of representing vertices of such a figure?  I will 
include the figure below for reference.  Thank you,

						David Kohel 

LIST

{ = SPHERE 
0.03 0 0 0}

{ = SPHERE 
0.03 0 0 1}

{ = SPHERE 
0.03 0 0 2}

{ = SPHERE 
0.03 1 0 2}

{ = SPHERE 
0.03 2 0 2}

{ = SPHERE 
0.03 3 0 2}

{ = SPHERE 
0.03 3 0 1}

{ = SPHERE 
0.03 3 0 0}

{ = SPHERE 
0.03 4 0 0}

{ = SPHERE 
0.03 4 1 0}

{ = SPHERE 
0.03 4 2 0}

{ = SPHERE 
0.03 4 3 0}

{ = SPHERE 
0.03 3 3 0}

{ = SPHERE 
0.03 2 3 0}

{ = SPHERE 
0.03 2 2 0}

{ = SPHERE 
0.03 2 1 0}

{ = SPHERE 
0.03 3 1 0}

{ = SPHERE 
0.03 3 2 0}

{ = SPHERE 
0.03 3 2 1}

{ = SPHERE 
0.03 3 1 1}

{ = SPHERE 
0.03 3 1 2}

{ = SPHERE 
0.03 2 1 2}

{ = SPHERE 
0.03 1 1 2}

{ = SPHERE 
0.03 1 1 1}

{ = SPHERE 
0.03 2 1 1}

{ = SPHERE 
0.03 2 2 1}

{ = SPHERE 
0.03 2 3 1}

{ = SPHERE 
0.03 1 3 1}

{ = SPHERE 
0.03 1 2 1}

{ = SPHERE 
0.03 1 2 2}

{ = SPHERE 
0.03 1 2 3}

{ = SPHERE 
0.03 1 3 3}

{ = SPHERE 
0.03 1 3 2}

{ = SPHERE 
0.03 2 3 2}

{ = SPHERE 
0.03 3 3 2}

{ = SPHERE 
0.03 4 3 2}

{ = SPHERE 
0.03 4 4 2}

{ = SPHERE 
0.03 3 4 2}

{ = SPHERE 
0.03 2 4 2}

{ = SPHERE 
0.03 1 4 2}

{ = SPHERE 
0.03 0 4 2}

{ = SPHERE 
0.03 0 3 2}

{ = SPHERE 
0.03 0 3 3}

{ = SPHERE 
0.03 0 4 3}

{ = SPHERE 
0.03 0 4 4}

{ = SPHERE 
0.03 1 4 4}

{ = SPHERE 
0.03 2 4 4}

{ = SPHERE 
0.03 3 4 4}

{ = SPHERE 
0.03 3 4 3}

{ = SPHERE 
0.03 4 4 3}

{ = SPHERE 
0.03 4 3 3}

{ = SPHERE 
0.03 3 3 3}

{ = SPHERE 
0.03 2 3 3}

{ = SPHERE 
0.03 2 2 3}

{ = SPHERE 
0.03 2 1 3}

{ = SPHERE 
0.03 3 1 3}

{ = SPHERE 
0.03 3 2 3}

{ = SPHERE 
0.03 3 2 4}

{ = SPHERE 
0.03 3 1 4}

{ = SPHERE 
0.03 2 1 4}

{ = SPHERE 
0.03 2 2 4}

{ = SPHERE 
0.03 2 3 4}

{ = SPHERE 
0.03 3 3 4}

{ = SPHERE 
0.03 4 3 4}

{ = SPHERE 
0.03 4 2 4}

{ = SPHERE 
0.03 4 1 4}

{ = SPHERE 
0.03 4 0 4}

{ = SPHERE 
0.03 3 0 4}

{ = SPHERE 
0.03 2 0 4}

{ = SPHERE 
0.03 1 0 4}

{ = SPHERE 
0.03 0 0 4}

{ = SPHERE 
0.03 0 1 4}

{ = SPHERE 
0.03 0 2 4}

{ = SPHERE 
0.03 0 2 3}

{ = SPHERE 
0.03 0 2 2}

{ = SPHERE 
0.03 0 2 1}

{ = SPHERE 
0.03 0 2 0 }

{ = SPHERE 
0.03 0 1 0 }

{ = VECT
78 156 1
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 
2 2 2 2 2 2 2 2 2 2 2 2 2 2 2 
2 2 2 
1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 
0 0 0 0 0 0 0 0 0 0 0 0 0 0 0  
0 0 0 

0 0 0  0 0 1  
0 0 1  0 0 2 
0 0 2  1 0 2 
1 0 2  2 0 2 
2 0 2  3 0 2 
3 0 2  3 0 1
3 0 1  3 0 0 
3 0 0  4 0 0 
4 0 0  4 1 0 
4 1 0  4 2 0 
4 2 0  4 3 0 
4 3 0  3 3 0 
3 3 0  2 3 0 
2 3 0  2 2 0 
2 2 0  2 1 0 
2 1 0  3 1 0 
3 1 0  3 2 0 
3 2 0  3 2 1
3 2 1  3 1 1
3 1 1  3 1 2
3 1 2  2 1 2
2 1 2  1 1 2
1 1 2  1 1 1
1 1 1  2 1 1
2 1 1  2 2 1
2 2 1  2 3 1
2 3 1  1 3 1
1 3 1  1 2 1
1 2 1  1 2 2
1 2 2  1 2 3
1 2 3  1 3 3
1 3 3  1 3 2
1 3 2  2 3 2
2 3 2  3 3 2
3 3 2  4 3 2
4 3 2  4 4 2
4 4 2  3 4 2
3 4 2  2 4 2
2 4 2  1 4 2
1 4 2  0 4 2
0 4 2  0 3 2
0 3 2  0 3 3
0 3 3  0 4 3
0 4 3  0 4 4
0 4 4  1 4 4
1 4 4  2 4 4
2 4 4  3 4 4
3 4 4  3 4 3
3 4 3  4 4 3
4 4 3  4 3 3
4 3 3  3 3 3
3 3 3  2 3 3
2 3 3  2 2 3
2 2 3  2 1 3
2 1 3  3 1 3
3 1 3  3 2 3
3 2 3  3 2 4
3 2 4  3 1 4
3 1 4  2 1 4
2 1 4  2 2 4
2 2 4  2 3 4
2 3 4  3 3 4
3 3 4  4 3 4
4 3 4  4 2 4
4 2 4  4 1 4
4 1 4  4 0 4
4 0 4  3 0 4
3 0 4  2 0 4
2 0 4  1 0 4
1 0 4  0 0 4
0 0 4  0 1 4
0 1 4  0 2 4
0 2 4  0 2 3
0 2 3  0 2 2
0 2 2  0 2 1
0 2 1  0 2 0 
0 2 0  0 1 0 
0 1 0  0 0 0 

0.5 0 0 0}
 
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