You can create your own Op Art design using The Geometer's Sketchpad, by following the set of instructions below, (A note: In this set of instructions, only segments are drawn. When you do the construction, you will get lines. At the end of the construction you'll need to hide the lines and construct a segment border.)
Step 1: Construct a horizontal segment. Select the endpoint and construct a line Perpendicular to this base using the Construct menu. At the other endpoint, construct another line Perpendicular to the base. Select a point at random on one of the perpendiculars and construct a line Parallel to the base to complete the rectangle. Test by dragging any point, to see if it remains a rectangle.
Step 2: Construct a random point on the base and construct a line
through this point parallel to a vertical line. Construct more points
on the base and verticals using Parallel or Perpendicular in the
Construct menu. Then construct points of intersections as
shown:
Step 3: Construct a geometric figure (triangle, hexagon, circle,
etc.) inside the rectangle. It can be a regular polygon or an
irregular one. You may use transformations or compass-type
constructions. Be sure that none of the vertices of the new figure
fall on any of the verticals or horizontals. Construct points where
the polygon and the grid intersection by clicking with the arrow
tool
