cocalc

[HG]

Hi,
https://cocalc.com/projects/a29d19b9-8c4e-4c7e-a06d-8ae10c53a33f/files/yysagegrid.sagews

I share this yin -yang... The mesh=True doesn't appear on the second picture mais does on the first ?

Any help ?

Thanks

Henri

[fidelbc]

Hi,

Perhaps adding the mesh=True for each of the  parametric_plot3d calls will do the job?

var("r,theta,phi");

def coordfunc(r,theta,phi,switch,shift=0):

    if switch=="yin":

        return (r*sin(theta)*cos(phi)+shift,r*sin(theta)*sin(phi),r*cos(theta))

    else:

        return (-r*sin(theta)*cos(phi)+shift,r*cos(theta),r*sin(theta)*sin(phi))

       

yin=(parametric_plot3d(coordfunc(1,theta,phi,"yin",1),(theta,pi/4,3*pi/4),(phi,-3*pi/4,3*pi/4),mesh=True)+

  parametric_plot3d(coordfunc(0.6,theta,phi,"yin",1),(theta,pi/4,3*pi/4),(phi,-3*pi/4,3*pi/4),color="yellow",mesh=True)+

   parametric_plot3d(coordfunc(r,theta,-3*pi/4,"yin",1),(r,0.6,1),(theta,pi/4,3*pi/4),mesh=True)+

   parametric_plot3d(coordfunc(r,theta,3*pi/4,"yin",1),(r,0.6,1),(theta,pi/4,3*pi/4),mesh=True)+

   parametric_plot3d(coordfunc(r,pi/4,phi,"yin",1),(r,0.6,1),(phi,-3*pi/4,3*pi/4),mesh=True)+

   parametric_plot3d(coordfunc(r,3*pi/4,phi,"yin",1),(r,0.6,1),(phi,-3*pi/4,3*pi/4),mesh=True)

  )

yang=(parametric_plot3d(coordfunc(1,theta,phi,"yang",-1),(theta,pi/4,3*pi/4),(phi,-3*pi/4,3*pi/4),mesh=True)+

  parametric_plot3d(coordfunc(0.6,theta,phi,"yang",-1),(theta,pi/4,3*pi/4),(phi,-3*pi/4,3*pi/4),color="yellow",mesh=True)+

   parametric_plot3d(coordfunc(r,theta,-3*pi/4,"yang",-1),(r,0.6,1),(theta,pi/4,3*pi/4),mesh=True)+

   parametric_plot3d(coordfunc(r,theta,3*pi/4,"yang",-1),(r,0.6,1),(theta,pi/4,3*pi/4),mesh=True)+

   parametric_plot3d(coordfunc(r,pi/4,phi,"yang",-1),(r,0.6,1),(phi,-3*pi/4,3*pi/4),mesh=True)+

   parametric_plot3d(coordfunc(r,3*pi/4,phi,"yang",-1),(r,0.6,1),(phi,-3*pi/4,3*pi/4),mesh=True)

  )

show(yin+yang)

Hope this helps,

Fidel