10 hours ago
(This post was last modified: 10 hours ago by npcompl33t.)
I fully agree with you stolfi on your first 2 plots. neither of those plots are guttman horseshoes, and neither would justify treating it as a gradient.
Your point on the S plot however, is not accurate.
A Guttman Horseshoe can manifest a more complex shape than an S. All that is necessary is that it is a harmonic oscillation. It must exhibit symmetry passing through the axis, which an S does.
However, more complex shapes do this as well. A w, is a harmonic of the S. Rather than pass through the axis 3 times, it passes through 4 times.
Voynich manifests the W shape, as shown below, and in my OP.
Your point on the S plot however, is not accurate.
A Guttman Horseshoe can manifest a more complex shape than an S. All that is necessary is that it is a harmonic oscillation. It must exhibit symmetry passing through the axis, which an S does.
However, more complex shapes do this as well. A w, is a harmonic of the S. Rather than pass through the axis 3 times, it passes through 4 times.
Voynich manifests the W shape, as shown below, and in my OP.