applications.collages.collageAlgebra:
  {
    line = { polyline((0,0),(3,0)) },
    
    f1 = scale(-1/3,1/3) . translate(1,0),
    f2 = use(f1) . rotate(60) . translate(1,0),
    f3 = scale(1/3) . translate(-1,0) . rotate(-60) . translate(2,0),
    f4 = scale(1/3) . translate(2,0),
    F = <f1,f2,f3,f4>,
    
    g1 = use(f1) . scale(1,-1),
    g2 = use(f2) . scale(1,-1),
    g3 = use(f3) . scale(1,-1),
    g4 = use(f4) . scale(1,-1),
    G = <g1,g2,g3,g4>,
        
    tri1 = scale(1/3),
    tri2 = scale(1/3) . rotate(-120) . translate(1,0),
    tri3 = scale(1/3) . translate(-1,0) . rotate(120),
    tri = <tri1,tri2,tri3>,
    
    h5 = scale(1/3) . rotate(90) . translate(1.5,sqrt(3)/2),
    h6 = scale(1/3) . rotate(-90) . translate(1.5,1+sqrt(3)/2),
    H = <f1,f2,f3,f4,h5,h6>
  }

