Instructions

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

• Summon a tile in an empty hand by clicking an empty space in the area
• Glue a tile in hand by left-clicking in the area.
• Turn the tile in the hand by one turn over N with either: the mouse wheel; the left/right arrow keys while the cursor is above the canvas; the turn buttons.
• Reflect the tile in the hand with a right click or the flip button or the keyboard "/", "-", "f" or "m".
• Group/Ungroup tiles with the hand tool by selecting them with Ctrl-click and pressing the group or ungroup buttons.
• Erase a tile or group of tile under the cursor with left click with the eraser tool.
• There are 4 tools, you can select them by clicking on their buttons or cycle through them with the up/down arrow keys while the cursor is above the canvas, or with Alt-wheel, or by pressing the key between parentheses: hand tool (h), erase (e), paint (p), pan/zoom (z).
• You can select a colour using the palette.
• You can edit a colour by right-clicking it in the palette. This does not change the already placed tiles.
• You can change the coulour of a tile with the paint tool by clicking a tile or using the mouse wheel while the cursor is over the tile.
• With the zoom tool you pan with left mouse button drag and zoom in/out with the wheel.
• You can also group groups, leading to nested groups.
• Change the value of N with the corresponding input field. Note that this will mess up your tiling unless all previous orientations match an appropriate multiple of the new angle.

• The toggle switch is to alter the colour of flipped tiles.
• Shift-left click with a tile in hand places the tile and leaves a copy in hand.
• Shift-left click with eraser/paint/empty hand will erase/paint/pick a single tile, even if it is in a group or a nested group.
• Duplicate a placed tile by right-clicking it with an empty hand.
• You can also erase a tile with the hand tool with Shift-Alt-left click. The hand tool with Alt-left click will erase the tile in hand if it is not empty, otherwise the tile under the hand. You can also erase a tile as follows: pick it up with left button, maintain left button pressed and click right mouse button.
• From any tool different from the hand: a right click goes back to the hand tool.
• Shift-wheel also allows to select a colour. If a tile is in hand while this is done, its colour is changed too.
• From any tool: dragging with middle mouse button allows panning and Ctrl-wheel zooms.
• Keyboard shortcuts for group/ungroup are (g) and (u) and you can also use .
• Cltr-Alt-click with the hand tool will deselect all tiles.
• Ctrl-click with the paint tool on a tile overwrites with its colour the currently selected entry in the palette.
• There may be a few other special behaviours not documented here.

Overlap is not prevented

Magnet (snapping)

Custom polygon

Saving/Loading tilings

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