File:Monkey Saddle Surface (Mesh).png

Summary[edit]

DescriptionMonkey Saddle Surface (Mesh).png	A monkey saddle surface, with the equation ${\displaystyle z=x^{3}-3xy^{2}\,}$
Date	11/04/0206
Source	Self-made, done in MuPad
Author	Inductiveload
Other versions	Shaded Version

MuPAD Code[edit]

This code is more complicated than necessary, because is is a slightly altered version of code for a shaded mesh graph.

f := x^3-3*x*y^2:

  conts := 16:
  projectionlevel:=-1.5:

colourfunc := zip(RGB::Red, RGB::CornflowerBlue,
                  (a, b) -> (f(x,y)+1)/(2)*a
                           -(f(x,y)-1)/(2)*b):

funcplot := plot::Function3d(f(x,y),
                             x = -1..1,
                             y = -1..1,
                             Mesh = [24, 24],
                             Submesh=[8,8],
                             LineColor = RGB::Black.[0.99],
                             LineWidth = 0.1,
                             Filled = FALSE,
                             FillColorFunction = colourfunc,                             
                             AxesTitleFont = ["Courier New", 14],                       
                             ViewingBoxZRange = -1.5..1
                            ):
                             
camera := plot::Camera([16, -24, 30],
                       [0, 0, -0.25],
                       0.08
                      ):
                             
ploteverything := plot::Canvas(funcplot,
                               Width = 200*unit::mm, 
                               Height = 150*unit::mm, 
                               Axes = Frame,
                               TicksVisible = FALSE ,
                               TicksLabelsVisible = FALSE,
                               AxesTitles = ["", "", ""],                                                
                               camera
                              ): 

Licensing[edit]

I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.