| Game: Floor Tilings II |
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Created by Karl Scherer, 2007-03-24
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version 3.0
14 variants
requires ZoG 2.0
Tiling
Solitaire
download 1011 K
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Updated 2007-04-21
- 5 solutions added
- game text corrected and improved.
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Object: Create repetitive tilings on the 60-degree grid using only a few very powerful keystrokes.
The variants show all known nowhere-neat tilings of the plane using less than 3 prototiles.
Click the board to place a tile. The program will automatically copy this tile at regular intervals horizontally and vertically.
You can select which tile to place with the control buttons at the right border:
- Select one of the 14 templates at the top (by clicking small buttons or big button).
A grey diagonal in a template indicates that no black line will be visible as diagonal. - select a PRIMARY and a SECONDARY COLOUR by clicking either the small or the big buttons.
Invisible diagonals always need two different colours associated.
The secondary colour is applied only if a square is divided by a diagonal; will fill the half-square which touches the right border of the tile.
Note that the colour 'white' can be turned into transparent by clicking the 'change piece set' button in the tool bar.
Other control buttons (for more information see strategy text):
- BUCKET FILL mode on/off: colours a clicked white (or empty) area or paints white a clicked coloured area. Hence, to change colour of a coloured area, click a position twice.
Add all outlines before using Bucket Fill (since it will not fill positions with invisible diagonals). - COPY mode on/off button. When off, single tiles can be placed.
- OVERWRITE option: Selecting 'overwrite off' only effects the dropping of a single tile or of a grid.
- GRID OF COPIES / LINE OF COPIES / LINE FROM-TO: copy modes; three ways to create many copies at the same time.
'line from-to' creates a continuous line of copies running to south, east, southeast of northeast (click from- and to- positions on board). - START AT TOP / START AT CURSOR : creates a quarter of a grid or half a line of copies.
- four DISPLACEMENTS (0, 1, 2,..., 16) which control the layout of the grid of copies:
row-x, row-y : hor. and vert. displacements between two consecutive copies in one row
file-x, file-y: hor. and vert. displacement between two consecutive rows.
Click an arrow to decrease the number, click the number itself to increase it.
Click the plus sign in front of file-x to change it into a minus sign, causing the files to slope to the right.
Note that the copy mode 'line' uses only the variables row-x and row-y, but here row-x and row-y can be negative! - ADD ALL OUTLINES button: click it to add (in black) any boundaries between any colours.
- DELETE ALL OUTLINES button: click it to erase all black outlines. Adjacent areas of same colour will fuse.
- COLOUR ALL EMPTY TILES button: It colours all empty positions with the selected primary colour.
- EXCHANGE COLOURS button: globally replaces all occurrences of the primary colour by the secondary colour.
- RANDOMLY COLOUR WHITE AREAS: automatically bucket-fills twenty white areas with random colours (limited for technical reasons).
Click button repeatedly to fill more than 20 white areas. - COLOURS => WHITE button: clicking it leaves just the black outlines on white (or transparent) background.
- FINAL TOUCH-UP : add missing points at top left and top right corner of monochrome squares. Only use this when your tiling is finished!
(None of the stored examples has been touched up; however, touch-up is advised before printing a tiling or converting it to a PNG file etc).
SOLUTIONS button : displays structured list of and allows fast access to all stored infinite floor tilings.
For more information see the strategy text and history text.
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(1011 K)
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