Opis izmene

OpisMonkey Saddle Surface (Shaded).png	English: A monkey saddle surface, with the equation ${\displaystyle z=x^{3}-3xy^{2}\,}$. Done in MuPAD. Русский: Поверхность Обезьянье седло, задаваемая уравнением ${\displaystyle z=x^{3}-3xy^{2}\,}$. Сделано в MuPAD.
Datum	11. april 2006.
Izvor	Sopstveno delo
Autor	Inductiveload
Dozvola (Ponovno korišćenje ove datoteke)	Public domainPublic domainfalsefalse Ja, tvorac ovog dela, predajem ga u javno vlasništvo. Ovo se odnosi na ceo svet. U nekim zemljama, ovo nije zakonski moguće; u tom slučaju: Ja, tvorac ovog dela dozvoljavam svakome da koristi ovo delo za bilo koju namenu, bez bilo kakvih uslova, osim uslova koje nameće zakon.
Ostale verzije	Unshaded Version

MuPAD code

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 = TRUE,
                             FillColorFunction = colourfunc,                             
                             AxesTitleFont = ["Courier New", 14],                       
                             ViewingBoxZRange = -1.5..1
                            ):

contours := plot::modify(funcplot,
                         ZContours = [Automatic, conts],
                         LineWidth = 0.15,
                         LineColor = RGB::Gray90.[0.5],
                         XLinesVisible = FALSE,
                         YLinesVisible = FALSE,
                         Filled = FALSE
                        ):
                        
projcontours := plot::Transform3d([0, 0, projectionlevel],
                                  [1, 0, 0, 0, 1, 0, 0, 0, 0], 
                                   plot::modify(funcplot, ZContours = [Automatic, conts],
                                                LineWidth = 0.2,
                                                LineColorType = Dichromatic,
                                                LineColor = RGB::Red.[0.99],
                                                LineColor2 = RGB::CornflowerBlue.[0.99],
                                                XLinesVisible = FALSE,
                                                YLinesVisible = FALSE,
                                                Filled = FALSE
                                               )
                                  ):
                             
camera := plot::Camera([16, -24, 30],
                       [0, 0, -0.25],
                       0.08
                      ):
                             
ploteverything := plot::Canvas(funcplot,projcontours, contours,
                               Width = 200*unit::mm, 
                               Height = 150*unit::mm, 
                               Axes = Boxed,
                               TicksVisible = FALSE ,
                               TicksLabelsVisible = FALSE,
                               AxesTitles = ["", "", ""],                                                
                               camera
                              ): 
                          
plot(ploteverything)