{{{
#!metapost
transform pagecoords;
pagecoords:=identity scaled 10mm shifted (100mm,150mm);
beginfig (1);
    % declare paths to be used
    path p[],p[]t;
    % set up points by defining relationships
    z1=(0,0);   z2=z1+2up;
    z3=z1+whatever*dir (60)=z2+whatever*dir (-50);
    z4=z3+(-1.5,-.5);
    z5=z1+dir (135);
    z0=whatever[z1,z2]=whatever[z3,z4];
    % set up paths
    p0=fullcircle yscaled .5 rotated 45 shifted z0 ;
    p1=z2---z4..z0..z3---z1;
    p2=p1 cutbefore p0 cutafter p0;
    p3=p0 cutbefore p1 cutafter p1;
    p4=p2---p3---cycle;
    % define transformed versions of paths and points
    for i=0 upto 4: p[i]t=p[i] transformed pagecoords; endfor
    for i=0 upto 5: z[i]t=z[i] transformed pagecoords; endfor
    % do some drawing
    fill p4t withcolor (1,1,0.2);
    draw z1t---z2t withcolor .5white;
    draw z3t---z4t withcolor .5white;
    pickup pencircle;
    draw p0t dashed withdots scaled .3;
    draw p1t dashed evenly;
    draw p2t withcolor blue;
    draw p3t withcolor red;
    label.lrt (btex $z_0$ etex, z0t);
    label.llft (btex $z_1$ etex, z1t);
    label.top (btex $z_2$ etex, z2t);
    label.rt (btex $z_3$ etex, z3t);
    label.llft (btex $z_4$ etex, z4t);
    for i=0 upto 4:
        drawdot z[i]t withpen pencircle scaled 2;
    endfor
endfig;
end
}}}