Disclaimer: Not designed for touchscreens. Not tested on touchscreens.

Polygonal monotile applet

The applet allows testing tilings with one polygonal tile that can be rotated into N possible orientations, and can also be flipped.

Controls

Overlap is not prevented

There is no overlap checking implemented.

Magnet (snapping)

The vertices of the already placed tiles are used to snap the current tile being placed: this tile is translated according to the closest vertex pair, provided their distance is below some threshold. The threshold value can be adjusted in the corresponding input field.

Custom polygon

The monotile can be changed into any polygon traced by a single closed polygonal line: use the "Load shape" button. The file should be a text file containing a list of the shape vertices in the form [[0,1.23],[3.1,13],[-3.14,2.505]] for instance. Be careful that the rotation centre will be [0,0]. You can recentre the cursor to the barycenter of the tile with the "Recentre shape" button.

Saving/Loading tilings

Saves a data file containing tile shape, number N of orientations, position and colour of tiles.