import bsp;
size(7.5cm,0);
settings.tex="pdflatex";

currentprojection=orthographic(10,2,5);

real alpha = 45;
triple pA=(1,0,0), pB=(4,0,3), pC=(3,0,0);
transform3 r=rotate(alpha,pB-pA);
pen dotteddash=linetype("0 4 4 4");

path3 tri=pA--pB--pC--cycle;

for (int i=0; i<360/alpha; ++i) {
    draw(surface(tri),yellow,blue);
    tri=r*tri;
}

triple centrecercleA=(pA+rotate(180,pB-pA)*pA)/2,
       centrecercleB=(pB+rotate(180,pB-pA)*pB)/2;
draw(surface(circle(centrecercleA,abs(pA-centrecercleA),pB-pA)),
         lightblue+opacity(.3),blue);
draw((0,0,0)--centrecercleB,dotteddash+blue);
draw(surface(circle(centrecercleB,abs(pB-centrecercleB),pB-pA)),
         lightblue+opacity(.3),blue);