The first tile (top row) was variations on grid patterns: Bales, Cubine with a corner, Nancy Pinke's Facets, my tangle Gingham, Screen, and Suzanne McNeill's Up and Across. We began with a very curvy string, then covered the entire tile with a grid, then drew the tangles.
Screen is one of my tangle patterns, inspired by an oriental screen. See instructions here.
The second tile has a tangle border: Cadent with double lines, and Cadent with a Yincut fill. The three sections inside that are Zedbra (by yours truly and the Diva Laura Harms) and Chartz (both variations on a zigzag), and Puf (Carole Ohl's variation on Bales). We filled the two sides of Chartz with Tipple and Msst. Another time I might choose a stronger tangle (Knightsbridge? Striping?) to counter-balance Zedbra which is very bold.