Interesting mathematical underpinnings of a favorite game. Mickey Blake Carl-Eric Menzel Originally shared by Richard Green The mathematics of Boggle logic puzzles This picture shows a logic puzzle based on the popular word game Boggle . The object of the game is to place the fourteen letters shown at the bottom into the grid in such a way that the grid spells out each of the ten words in the list on the right. The words must be constructed from the letters of sequentially adjacent squares, where adjacent refers to squares that are horizontal, vertical or diagonal neighbours, and where squares may not be reused. It turns out that Boggle logic puzzles have mathematically interesting aspects; for example, they are related to the subgraph isomorphism problem , which is an example of an NP-complete problem. The recent paper 10 Questions about Boggle Logic Puzzles by Jonathan Needleman ( http://arxiv.org/abs/1506.04173 ) gives a survey of what is known and proposes a number (ten!) of re...