On Monday, July 10, 2017 at 11:49:50 AM UTC+2, HG wrote:
>
> Hi,
> This is a mathematica example, but I am not able to do something
> ressembling this yin yang grid a challenger ?
> https://github.com/aishenri/sage/blob/master/gridyy.pdf
> the cdf and noteboob are on the same dir.
> As sagemath seems to be an alternative would be great ?
> Regards
> Henri
>
You could probably clean up the code a bit, but I think the sage
construction is more straightforward:
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))+
parametric_plot3d(coordfunc(0.6,theta,phi,"yin",1),(theta,pi/4,3*pi/4),(phi,-3*pi/4,3*pi/4),color="yellow")+
parametric_plot3d(coordfunc(r,theta,-3*pi/4,"yin",1),(r,0.6,1),(theta,pi/4,3*pi/4))+
parametric_plot3d(coordfunc(r,theta,3*pi/4,"yin",1),(r,0.6,1),(theta,pi/4,3*pi/4))+
parametric_plot3d(coordfunc(r,pi/4,phi,"yin",1),(r,0.6,1),(phi,-3*pi/4,3*pi/4))+
parametric_plot3d(coordfunc(r,3*pi/4,phi,"yin",1),(r,0.6,1),(phi,-3*pi/4,3*pi/4))
)
yang=(parametric_plot3d(coordfunc(1,theta,phi,"yang",-1),(theta,pi/4,3*pi/4),(phi,-3*pi/4,3*pi/4))+
parametric_plot3d(coordfunc(0.6,theta,phi,"yang",-1),(theta,pi/4,3*pi/4),(phi,-3*pi/4,3*pi/4),color="yellow")+
parametric_plot3d(coordfunc(r,theta,-3*pi/4,"yang",-1),(r,0.6,1),(theta,pi/4,3*pi/4))+
parametric_plot3d(coordfunc(r,theta,3*pi/4,"yang",-1),(r,0.6,1),(theta,pi/4,3*pi/4))+
parametric_plot3d(coordfunc(r,pi/4,phi,"yang",-1),(r,0.6,1),(phi,-3*pi/4,3*pi/4))+
parametric_plot3d(coordfunc(r,3*pi/4,phi,"yang",-1),(r,0.6,1),(phi,-3*pi/4,3*pi/4))
)
(yin+yang).show(viewer="threejs")
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