Twitter-Length Tasks can be quickly and simply explained, yet allow for extensive exploration.

Draw six dots.

A line segment that connects two dots is worth 1 point – as long as it doesn’t intersect any other line segments.

A line segment with one intersection is worth ½ a point, a line segment with two intersections is worth ¼ a point, three intersections 1/8 point and so on.

What is the largest or smallest score you can create?

What if you try rearranging the points?