transform pagecoords;
pagecoords:=identity scaled 10mm shifted (100mm,150mm);
beginfig (1)
    fill ((0,0)--(2,0)--(2,1)--(1,1)--(1,2)--(0,2)--cycle)
        transformed pagecoords withcolor green;
    draw ((2,0)..(2,1)..(1,1)..(1,2)..(0,2))
        transformed pagecoords;
    drawarrow ((0,0)--(2,2)) transformed pagecoords;
endfig;
beginfig (2)
    draw (for i=0 upto 7: dir (135i)-- endfor cycle)
        transformed pagecoords;
endfig;
pagecoords:=identity scaled 15mm shifted (100mm,150mm);
beginfig (3);
    % declare paths to be used
    path p=whatever;
    % 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: pt=p transformed pagecoords; endfor
    for i=0 upto 5: zt=z 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 zt withpen pencircle scaled 2;
    endfor
endfig;
bye