This Demonstration lets you freely create any complicated tiling—many other Demonstrations only let you look at them! Tilings of irreptiles (tiles that tile themselves) or periodic or aperiodic tilings with fivefold symmetry are just some of the things you can produce. Use the tile types given (such as the Penrose kite and dart) or design your own. See the related links for many examples of tilings you can create. Explore! The tiles can be "snapped" together as if they were magnetic, making the construction very easy. You can also rotate any tile around any of its vertices or around its center. You can always go back and edit all the vertices, angles, edges, or the size of the tiles any time later. A copy-and-paste (option "d+s") tool, various snap functions, and many other features make construction a breeze. Examples The default screen shows a 1x1 square. To create a copy of this square somewhere else, first select snap = "-", then click the "d+s" button (if it is not highlighted already), and finally click the board to place a new 1x1 square. To create a 2-by-2 arrangement of four copies of the default 1x1 square, select rotate = 90°, click the "o" ("circular arrangement") of the "+/-/o" setter bar, and finally click "vertex" (to create the circular arrangement). More examples are given at the end of Details.


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