Twelve satellite spiral spheres encircle a main spiral sphere. 

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Long Description 
Twelve satellite spiral spheres encircle a main spiral sphere.
Inspired by the ubiquitious artist/mathematician M. C. Esher, these 13 spiral spheres comprise various numbers of windings and spacial orientation, making each a unique work of silver and gold.


Making Of 
The 13 spiral spheres are created from sphere_sweep objects (which, although greatly improved since v3.5, do still seem to have some buggy artifacts at certain angles). The meat and potatoes of this composition is the creation of the spiral spheres themselves, and for that I came up with this simple and efficient macro that allows any number of windings and sizes:
//
// #macro: Spherical_Spiral()
//
// Note: Sometimes you've got to play around with the incr value to get pt_cnt
// to work out right for the sphere_sweep.
//
// Usually adjusting incr +/ a few hundredths will solve a parsing problem...
//
#macro Spherical_Spiral(turns, outer_rad, tube_rad, incr)
#local pt_cnt = int(pi/incr+0.5);
#local tt = 0;
sphere_sweep {
cubic_spline
pt_cnt
#while (tt < pi)
#local xt = outer_rad * cos(turns*2*tt) * sin(tt);
#local yt = outer_rad * sin(turns*2*tt) * sin(tt);
#local zt = outer_rad * cos(tt);
tube_rad
#local tt = tt + incr;
#end
tolerance 0.1
rotate x*90
}
#end


Tools Used 
Povray 3.6 for Windows, my imagination.



Detail Images 
Detail 1: 1200x1200 @ 720,860

Detail 2: 1200x1200 @ 460,200


Judges Comments 
Nice, simple and delicate image. Nice use of POVRay SDL. The background could have been more interesting. More shapes would have been welcome to.



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