The articles main thesis is that an intuitive, artistic understanding of turbulence can help inform mathematicians.
And yet none of the historical evidence that was presented supported this claim. The pure mathematicians made progress and discovered interesting patterns. Those who focused on art and philosophy (Schauberger and Schwenk) contributed nothing to the understanding of turbulence.
I read the article differently, namely, how the approaches of both art
and science can be similar and often complimentary to understanding and
appreciation. At times, looking at another perspective can really help
improve understanding and appreciation, but at other times, an alternate
perspective is merely entertaining. I wasn't expecting the author to
provide strong and specific evidence of "artistic understanding helping
to inform mathematicians." But saying "none" was presented seems a bit
unfair; the evidence presented was by inference and was anecdotal. For
example, both artists and experimental scientists arriving at remarkably
similar ways of "recording data" and/or "making art" from turbulence in
fluids. Even if the artist doesn't fully understand the math, and the
mathematician doesn't fully understand the art, both can often gain a
more enlightened appreciation of each others' work than someone unversed
in both art and math.
A lot of educators agree that studying both art and math are important
to development and are complimentary to both appreciation and understanding.
I guess I didn't read it close enough? I think the inclusion
of art and curly hair was to make the article more readable? As an idiot--I am today, I started to think about curly hair. I have curly hair , I don't know why I have curly hair. I was told curly hair
arises fron asymmetrical follicles? My hair was straight as a child. I hit puberty, and it went to a perm! Now, as I
age it's just wavy? I guess it's genes, and hormones? Or,
I remember hearing someone state homosapians have two types of hair--thick, and thin; thick hair being curlier. Or, maybe my curly hair has something to do with Fibonacci equation? Or, maybe I should exercise tonight? Yea, it's been a bad weekend for me--I hope Tomorrow is better?
And yet none of the historical evidence that was presented supported this claim. The pure mathematicians made progress and discovered interesting patterns. Those who focused on art and philosophy (Schauberger and Schwenk) contributed nothing to the understanding of turbulence.