Palindromes are relatively much simpler to apply to flexagons than anagrams. Here is where a little computer assistance might be necessary in order to find some possibilities that I certainly believe exist. Of course anagram experts would probably be able to rattle off hundreds once the patterns become familiar. Crossword puzzles also seem to have potential. These could also get quite complex or remain fairly simple.

Games could be created for solitary or even many players/teams. A creativity stimulating tool could be constructed by labeling the triangle sides with random nouns, verbs, adverbs, etc. Then, after a flex to a new position, try to imagine connections between adjacent lines, triangles, or other combinations. One could try to go further with making a game out of trying to make sentences out of the terms available on one side or adjacent triangles. By adding the use of a partner's flexagon, more versatility in game design would result.

I’m sure that other word games could be designed. There are so many possibilities for things that might work for some types of flexagons but not others. Some ideas that might work for word games might also work for games involving equations, computer programming, and other combination/connection solitary or competitive challenges.