This series of vignettes showcases the expressive power of Shape Machine to find matches of arrangements of indefinite polylines and their combinations under affine transformations. The first vignette shows that the search of an equilateral triangle under affine transformations produces four matches characterized by triangles with diverse proportions. The second vignette shows that the search of an open threeline polyline  or a triangle that has one edge incomplete  produces twentyfour matches because of the symmetry of the polyline of order 1 vs. the symmetry of the four underlying triangles each of order 6. The third vignette shows that the search of a shape consisting of an open twoline polyline or an Lshape and a floating line produces again 24 matches because of the symmetry of the arrangement of order 1 vs. the symmetry of order 6 of each the four underlying triangles. The fourth vignette shows that the search of a shape consisting of three lines exhibiting rotational symmetry of order 3 produces 8 matches because of the symmetry of the arrangement of order 3 vs. the symmetry of order 6 of each the four underlying triangles. Finally, the fifth vignette shows that the search of a shape consisting of three lines exhibiting threefold dihedral symmetry produces 4 matches because of the symmetry of the arrangement of order 6 vs. the symmetry of order 6 of each the four underlying triangles.
