I'm learning to use asymptote. I'm trying to draw an intersection between a sphere and a plane. Below I post the code. There do not seem to be any errors in the concept: I draw the sphere, the back and front equator and the horizontal plane. Why does the equator in not on the horizontal plane?
import solids; import graph3; import three; size(5cm); currentprojection=orthographic(10,5,2); currentlight=Headlamp; real t = 1; triple p0 =(t,t,0), p1=(-t,t,0), p2 = (-t,t,0), p3 = (t,-t,0); nslice=4*nslice; revolution b=sphere(O,1); draw(surface(b),paleblue+opacity(.5)); skeleton s; b.transverse(s,reltime(b.g,0.5),P=currentprojection); draw(s.transverse.back,yellow); draw(s.transverse.front,yellow); draw(surface(p0--p1--p2--p3--cycle),brown);