Maria Mannone
If we can see mathematical beauty as an abstract idealization, beauty in nature reminds of the perfection of concrete forms. Trying to join these two conceptions of beauty and form, in "Fish Math" I used abstract shapes obtained as graphs of parametric equations, as well as revolution solids, to imitate an oceanic landscape, with fish, algae, and shells. Mathematics is alive as an ocean, and natural forms can be perfect and inspiring as math!
The image, inspired by the ocean, contains graphs of parametric
equations and revolution solids implemented with Mathematica
software, e.g., for some fish:
RevolutionPlot3D[Sin[t]/2, {t, -Pi/4, Pi}, RevolutionAxis ->
"X",
Axes -> None, Mesh -> False, Boxed -> False, Background ->
Black,
ColorFunction -> (ColorData["Aquamarine"][#4] &)]
And, for some algae:
ParametricPlot3D[{Cos[u] Sin[v], Sin[u] Sin[v], u^2}, {u, 0,
2 Pi}, {v, 0, 10 Pi}, Mesh -> None, Axes -> None, Boxed ->
False,
ColorFunction -> (ColorData["AvocadoColors"][#1] &)]
Colors of each single figure have also been defined within
Mathematica coding. The figures have then been put together within
a Keynote document with a gradient color background.