A construction of the Hat tilings by a Markov partition

# A construction of the Hat tilings by a Markov partition Source: [https://www.mathstat.dal.ca/~selinger/hat-partition/](https://www.mathstat.dal.ca/~selinger/hat-partition/) **Place a tile:**drag from sidebar, or click sidebar tile then click canvas\. **Move a tile:**drag it\. Drop on sidebar to remove it\. **Delete a tile:**right\-click it\. **Rotate:**Q \(left\) / E \(right\) / scroll wheel — while hovering or dragging\. **Flip:**W**Cancel:**Escape or right\-click\. **Pan canvas:**drag empty area, middle\-button drag, Shift\+drag, or arrow keys\. **Shift grid:**Alt\+drag \(or "Shift grid" button\)\. **Zoom:**scroll wheel, \+/− keys, or \+/− buttons \(bottom\-right\)\. 0 to reset to default\. **Continuous tiling:**C or button — keep tile selected after placement\. Tiling and settings are saved automatically\.