Ripà’s Conjectures on the K-Dimensions 3 X 3 X … X 3 Dots Problem

The classic thinking problem, the “Nine Dots Puzzle”, is widely used in courses on creativity and appears in a lot of games magazines. Here are two mutually exclusive conjectures about the generic solution of the problem of the 3 k dots spread to 3 X 3 X ... X 3 points, in a kdimensional space.