| Visiteurs: 394114 |
Aperiodic tiles Penrose P2
Of all the remarkable sets of aperiodic polygons, it seems that only 7 allow the construction of figurative tessellations. For this, the sides of the polygons must undergo symmetrical, rotational or any deformations, and the shape obtained from the tiles must be sufficient in itself to constitute an aperiodic tiling without the need for signs, lines or figures. These tiles are extraordinary. Take for example the tilings of Penrose P2 and P3. If you don't follow the lines drawn on it, they become periodic, but if you deform their edges, whether or not there are lines on it, you can only build aperiodic tilings. We can say that some of Robert Ammann's tiles could also be part of it, but rectilinear edges or necessary keys make it illusory to make any figurative form.
Here is one of the two most famous aperiodic tiling. It is the tiling of Roger Penrose named P2 discovered in 1977. It is a tiling of order 5 like the P1 or the P3. This is my first attempt to make an aperiodic tiling figurative. The stars correspond to the meeting points of the tiles if we continued them.