Four Ways
Inspired by a mural at the GVSU libraries which is a 5x20 3 story tall array of square panels with a black and white path design by Cheonae Kim. (See their work at http://www.cheonaekim.com/) See more at http://mathhombre.tumblr.com/post/133362679009/four-ways-inspired-by-100-days-a-mural-at-the
My first attempt just turned panels North-South or East-West, but this sketch decides each segment separately.
What I like best is that you can specify the likelihood a segment is open or closed. This was inspired by a different work by the same artist.
More GeoGebra at bit.ly/mh-ggb