Definition of surface, in parametric
equations:x(u,v) = á (1-v/(2ð)) cos(n v) (1 +
cos(u)) + ã cos(n v) where: - á is a parameter with the fixed value 0.2 for this plot (as á approaches 1, the horn approaches a snail)
- â is a parameter with the fixed value 1 for this plot
- ã is a parameter with the fixed value 0.1 for this plot, determining the thickness of the horn
- n is a parameter ranging from 0 (straight horn) to 3 (three twists) and back, with a step of 0.1, giving the 60 frames shown here
- u ranges from 0 to 2ð, scanning the angle of each circular section of the surface
- v ranges from 0 to 2ð, defining the diameter of the "cylinder" within which the surface lies.
Tore
Nordstrand, |

**Note**: If you do not see Greek characters on
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you decipher this page, á is alpha, â is beta, ã is gamma, and
ð is pi.