[U,V]= (pi/2:.1:3*pi/2,-pi:.2:pi);
XS=cos(U)*sin(V);
YS=cos(U)*cos(V);
ZS=sin(U);
XC=max(-2,min(2,1/(cos(U)*sin(V))))/4;
YC=max(-2,min(2,1/(cos(U)*cos(V))))/4;
ZC=max(-2,min(2,1/sin(U)))/4;
X=XS-XC; Y=YS-YC; Z=ZS-ZC;