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}
]
![WolframLang parametric surface manipulate 2021-07-24](i/WolframLang_parametric_surface_manipulate_2021-07-24.png)
- Show a feature of Wolfram Language that plots parametric surface of a given region, of any shape.
![WolframLang parametric surface region 2021-07-24](i/WolframLang_parametric_surface_region_2021-07-24.png)
- Emacs lisp, write a emacs major mode for Wolfram Language
![xah wolfram mode 2021-07-24](i/xah_wolfram_mode_2021-07-24.png)