Xah Talk Show 2021-07-24 math, parametric surface, WolframLang, emacs lisp, write xah-wolfram-mode

• What is parametric surface

parametric surface is a surface, that is defined by 3 functions, each is 2 parameters.

x = f1(u,v),
y = f2(u,v),
z = f3(u,v),
u goes from 0 to 10
v goes from 0 to 10

Manipulate[
 ParametricPlot3D[
  {
   Cos[u]*(3 + Cos[v]),
   Sin[u]*(3 + Cos[v]),
   Sin[v]
   },
  {u, 0, uMax},
  {v, 0, vMax}, ViewPoint -> {4, 4, 4},
  PlotRange -> {{-4, 4}, {-4, 4}, {-2, 2}},
  PerformanceGoal -> "Quality"],
 {uMax, 0.1, 2 Pi},
 {vMax, 0.1, 2 Pi}
 ]

• Show a feature of Wolfram Language that plots parametric surface of a given region, of any shape.

• Emacs lisp, write a emacs major mode for Wolfram Language

• Wolfram: Download Wolfram Engine

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