I like playing with constraints and freedoms in pattern making.

 

In experimenting using Processing, I made some variations on Truchet Tiles (non-rotationally-symmetrically-patterned square tiles) and their hexagonal analog (which I'm not sure is named).

In these few examples, the tiles are all randomly rotated, in some there's added randomness in the tile design.

These are some explorations of what I've been calling directed tilings: where 1) tiles fill space without gap or overlap, and 2) every tile is a reflection of all its neighboring tiles across their shared edge. From that brief explanation, are you able to tell which of the images below are directed tilings? Can you tell what shape each tile is?

I keep meaning to write more about what I learned from these experiments...If you're interested, push me to. All these tiles are made from photos of sculptures I made.

These are actually the first directed tilings I made (but by accident). Each tile is an illustration of a different elegant, geometric concept from mathematics.

And these are some more, developed as part of my body of work for a summer arts intensive at the Burren College of Art. This gallery includes a couple collaged knots I made at the same time, too (even though they're on a kind of different theme).