Items tagged with implicitplot3d

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Dear All,

I am plotting the following function using implicitplot command.:


plots[implicitplot3d]((17.31626331*M^3-(4*(z[1]-z[2])^2*M^2-1.171300684*(z[1]+z[2])^2)*(1.082266457-2*M)*(1.082266457-3*M))^2 = 4.598621420*(z[1]+z[2])^2*M*(1.082266457-2*M)^3*(4*(z[1]-z[2])^2*M^2-1.171300684*(z[1]+z[2])^2), M = 0 .. 1, z[1] = 0 .. 10, z[2] = -10 .. 0);

How can I extract data points from the plot obtained

      Inspired by the theme
http://www.mapleprimes.com/questions/219995-Finding-A-Convinient-Parametrization-Of-Surfaces
Examples in the Mathematica did Alexander Bannikov.
It is equidistant radius 0.1 to the surface

   (x1 ^ 2 + x2 ^ 2-0.4) ^ 2 + (x3 + sin (x1 * x2 + x3)) ^ 4-0.1 = 0;

https://vk.com/doc7819263_439405418?hash=af46d61d8aad95f70b&dl=9f245f5b6b68b47075

and an example of parameterization the same surface

https://vk.com/doc7819263_439432143?hash=36cf31d52c97e2e373&dl=7e4fa17a771dffb331

As I have understood from the words of Alexander Bannikov, parameterization was performed using the functions: RegionFunction, ContourPlot3D, ClippingPlanes.

It turns out that Maple functions inferior?

I have code 
with(plots);

implicitplot3d((r*sin(theta)*cos(phi))^2+(r*sin(theta)*sin(phi))^2+(r*cos(theta))^2=36,r=-3..3, phi=0..2*Pi,theta=0..Pi,coords=spherical);

How can I fix the code to display the picture

Trying to plot the function 7*x^2+22*xy+7*y^2+14*xz*sqrt(3)+14*yz*sqrt(3)-5*z^2 = 180, I tried using implicitplot3d to plot it, with ranges I'm quite certain should contain the surface but for whatever reason all I get is a blank plot with no graphics. Here's my input:

 

Loading plots

with(plots);
[animate, animate3d, animatecurve, arrow, changecoords,

complexplot, complexplot3d, conformal, conformal3d,

contourplot, contourplot3d, coordplot, coordplot3d,

densityplot, display, dualaxisplot, fieldplot, fieldplot3d,

gradplot, gradplot3d, implicitplot, implicitplot3d, inequal,

interactive, interactiveparams, intersectplot, listcontplot,

listcontplot3d, listdensityplot, listplot, listplot3d,

loglogplot, logplot, matrixplot, multiple, odeplot, pareto,

plotcompare, pointplot, pointplot3d, polarplot, polygonplot,

polygonplot3d, polyhedra_supported, polyhedraplot, rootlocus,

semilogplot, setcolors, setoptions, setoptions3d, spacecurve,

sparsematrixplot, surfdata, textplot, textplot3d, tubeplot]
implicitplot3d(7*x^2+22*xy+7*y^2+14*xz*sqrt(3)+14*yz*sqrt(3)-5*z^2 = 180, x = -50 .. 50, y = -50 .. 50, z = -50 .. 50, axes = normal);

 

Not sure what I'm doing wrong exactly. 

Hello everyone,

I have an issue that I don't know how to solve.
I would like to plot a part of a surface that is enclosed by another surface. I wrote a proc() function with an if statement and when the statement is statisfienied I returned desired function. The roblem is that if statement gets ploted as well..

Here is my proc()

yield := proc (sigma__x, sigma__y, tau__xy, sigma__cx, sigma__cy, f__45, f__cx, f__cy, tau__u, f__tx, f__ty, alpha)

if eval(evalf(f__r(sigma__x, sigma__y, tau__xy, f__tx, f__ty, alpha)) < 0) then

return f__h(sigma__x, sigma__y, tau__xy, sigma__cx, sigma__cy, f__45, f__cx, f__cy, tau__u)

else 9999999

end if

end proc;


Here is my plot request:


Explore(implicitplot3d('yield(sigma__x, sigma__y, tau__xy, sigma__cx, sigma__cy, f__45, f__cx, f__cy, tau__u, f__tx, f__ty, alpha)' = 0, sigma__x = -10 .. 10, sigma__y = -10 .. 10, tau__xy = 0 .. 10, style = surfacecontour, numpoints = 100000, axes = normal), parameters = [f__cx = 0.1e-3 .. 10, f__cy = 0.1e-3 .. 10, f__45 = 0.1e-3 .. 10, sigma__cx = 0.1e-3 .. 10, sigma__cy = 0.1e-3 .. 10, tau__u = 0.1e-3 .. 10, f__tx = 0.1e-3 .. 10, f__ty = 0.1e-3 .. 10, alpha = 0.1e-3 .. 10]

 and this is what i get:

plot

The grainy surface should not be there. If it's not possible to remove it, it would be alright that surface would be smooth. Any ideas?


with(plots);

implicitplot3d((x+y+z)^2=0, x=-100..100,y=-100..100,z=-100..100)

can be plot, and only show me an empty box.

and i get the same empty box when i reduce the interval.

for example :

implicitplot3d((x+y+z)^2=0, x=-5..5,y=-5..5,z=-5..5)

and

implicitplot3d((x+y+z)^2=0, x=-0.1..0.1,y=-0.1..0.1,z=-0.1..0.1)

please help me.

thanks for reading this question, and i hope i get an answer.

For implicitplot of say (cos(\theta))^2, I had to use 'factor' in the options for the plot so that it considers cos(theta) also while plotting. But I couldn't do the same in implicitplot3d. How can I achieve this plotting of all factors of a function for implicitplot3d?

Hi, I have defined two functions:

ex1 := (x,t,z) -> -1.132*10^(11)* exp(9.9*10^(6)*x)*exp(sqrt(-1)*(1.95*10^6*z-2.98*10^15*t))

 

ex2 := (x,t,z) -> -2.82*10^(12)* exp(2*10^(6)*sqrt(-1)*x)*exp(sqrt(-1)*(1.95e*10^(6)*z-2.98*10^(15)*t));

 

And then tried the command:

 

implicitplot3d( ex1, x = -10..0, t = 0..10, z = 0..10, axes = boxed, style = patchcontour, scaling = constrained, shading =z);

 

But the boxes are entirely blank! What is the problem here?? It should be some kind of sine curve

Hello, I have the system of equations in many vars as below, I want to make an implicit plot in Maple with the projection on 3 vars, for example, in this case (x,y,t1). The range is x[-10,10], y[-10,10], t1[-Pi,Pi] and the rest of the vars are [-Pi,Pi]. Does anyone know how to do it? We have also the inequalities in the system.

 

f1:= cos(t1)+1.35*cos(p1)-x;

f2:= sin(t1)+1.35*sin(p1)-y;

f3:= cos(t2)+1.35*cos(p2)-x +1.15;

f4:= sin(t2)+1.35*sin(p2)-y;

f5:= cos(t3)+1.35*cos(p3)-x+0.575;

f6:= sin(t3)+1.35*sin(p3)-y +0.995;

f7:= cos(t1)*cos(t2)*cos(t3)*sin(p1)*sin(p2)*sin(p3)-cos(t1)*cos(t2)*sin(t3)*sin(p1)*sin(p2)*cos(p3)-cos(t1)*sin(t2)*cos(t3)*sin(p1)*cos(p2)*sin(p3)+cos(t1)*sin(t2)*sin(t3)*sin(p1)*cos(p2)*cos(p3)-sin(t1)*cos(t2)*cos(t3)*cos(p1)*sin(p2)*sin(p3)+sin(t1)*cos(t2)*sin(t3)*cos(p1)*sin(p2)*cos(p3)+sin(t1)*sin(t2)*cos(t3)*cos(p1)*cos(p2)*sin(p3)-sin(t1)*sin(t2)*sin(t3)*cos(p1)*cos(p2)*cos(p3);

f8:= cos(t1)*sin(p1)-sin(t1)*cos(p1) >= 0;

f9:= cos(t2)*sin(p2)-sin(t2)*cos(p2) >= 0;

f10:= cos(t3)*sin(p3)-sin(t3)*cos(p3) >= 0;

Hello,

So I want to create an image of the cusp catastrophe that looks like this 

but instead I have been getting this image where the discontinuity is plotted out to infinity

I have tried to split up the surfaces on either side of this but I haven't been able to display both on the same plot whilst using implicitplot3d. 
This is the line of code for the image, there't not much too it
"
with(plots);

implicitplot3d(x^4+x^2*z+x*y, x = -7 .. 7, y = -50 .. 50, z = -10 .. 5, axes = boxed, style = surfacecontour, grid = [60, 60, 60], orientation = [180, 8, 175], 'transparency' = .1);
"
If anyone could help or point me in the right direction that would be great.
Cheers,
Darryl A.M.

 

plots[implicitplot3d](max(-x+y+z, x-y+z, x+y-z) = 1.0, x = 0 .. 1, y = 0 .. 1, z = 0 .. 1);

The help page for max does not explain or show an example of max(sequence of expressions)= a constant. 

eq1 := z = y*log(x): eq2 := z = y+x*log(x):

DispIntersecting := implicitplot3d([eq1, eq2], x = 0 .. 10, y = -30 .. 30, z = -40 .. 40, color = [blue, green]):

solve({eq1, eq2}, [x, y, z]);

assign(%):

DispIntersection := spacecurve([x, y, z], x = 0.1e-2 .. 10, color = red, view = [0 .. 10, -30 .. 30, -40 .. 40]):

display(DispIntersecting, DispIntersection, axes = boxed, scaling = constrained);

WHen I type:

I get nothing, a blank box. But if I change the code slightly, by squaring both sides, then it works.

What is the reason for this. I uploaded an image of the output:  http://prntscr.com/752mtd

Hi there! My name is Filippo, I'm a university student in Strategic Sciences in Turin, Italy.

I've recently started a course about Maple, how to use it, and now my task is to find examples in architectural buildings that are made using quadratic equations..I've found that the Beijin National Theatre is an Ellipsoid as well as the rugby ball...I've got troubles with model proportions,I mean which numbers should I put into my equation to get a nice Ellipsoid...this is what I've done (see pic).

Could you help me to find the right proportions for this model?

 

with(plots)

[animate, animate3d, animatecurve, arrow, changecoords, complexplot, complexplot3d, conformal, conformal3d, contourplot, contourplot3d, coordplot, coordplot3d, densityplot, display, dualaxisplot, fieldplot, fieldplot3d, gradplot, gradplot3d, implicitplot, implicitplot3d, inequal, interactive, interactiveparams, intersectplot, listcontplot, listcontplot3d, listdensityplot, listplot, listplot3d, loglogplot, logplot, matrixplot, multiple, odeplot, pareto, plotcompare, pointplot, pointplot3d, polarplot, polygonplot, polygonplot3d, polyhedra_supported, polyhedraplot, rootlocus, semilogplot, setcolors, setoptions, setoptions3d, shadebetween, spacecurve, sparsematrixplot, surfdata, textplot, textplot3d, tubeplot]

(1)

``

Ellissoide reale

plots:-implicitplot3d(x^2/100^2+y^2/30^2+z^2/30^2 = 1, x = -100 .. 100, y = -65 .. 65, z = -65 .. 65)

 

``

 

 

``

 

Download Applicazione_delle_quadriche_architetture.mw

Thank you so much!

Filippo

I would like to plot this :

yz(x+y+2z)^3-8=0 such as x^2+x(y+2z)-1<0 and y^2+y(x+2z)-3<0

The difficulty is that bounds depend on other variables. I was trying to use Maple implicitplot3d function, but I don't see a way.

Is it possible to use Maple for such plot ? If so, how ?

 

Thank you for your answer

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