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  2. Penrose tiling - Wikipedia

    en.wikipedia.org/wiki/Penrose_tiling

    These shapes are called prototiles, and a set of prototiles is said to admit a tiling or tile the plane if there is a tiling of the plane using only these shapes. That is, each tile in the tiling must be congruent to one of these prototiles. [4] A tiling that has no periods is non-periodic.

  3. Aperiodic tiling - Wikipedia

    en.wikipedia.org/wiki/Aperiodic_tiling

    An aperiodic tiling using a single shape and its reflection, discovered by David Smith. An aperiodic tiling is a non-periodic tiling with the additional property that it does not contain arbitrarily large periodic regions or patches. A set of tile-types (or prototiles) is aperiodic if copies of these tiles can form only non-periodic tilings.

  4. List of aperiodic sets of tiles - Wikipedia

    en.wikipedia.org/.../List_of_aperiodic_sets_of_tiles

    A tiling that cannot be constructed from a single primitive cell is called nonperiodic. If a given set of tiles allows only nonperiodic tilings, then this set of tiles is called aperiodic. [3] The tilings obtained from an aperiodic set of tiles are often called aperiodic tilings, though strictly speaking it is the tiles themselves that are ...

  5. Gio Ponti - Wikipedia

    en.wikipedia.org/wiki/Gio_Ponti

    The overall effect has been noted for its "lightness": "the Villa Planchard sits so lightly on the hillside above Caracas that it is known as the 'butterfly house.'" [21] A few miles away, Ponti designed for Blanca Arreaza, the Diamantina (1954–1956), so-called because of the diamond-shaped tiles that partially cover its facade. This villa ...

  6. 50 Inventions From The Past That Were Amazingly Innovative - AOL

    www.aol.com/98-historical-inventions-were-ahead...

    The floor of the building was raised on pillars called pilae stacks. These pillars would have a layer of tiles above them which would be covered by a layer of concrete and then the floor tiles ...

  7. Lozenge (shape) - Wikipedia

    en.wikipedia.org/wiki/Lozenge_(shape)

    The lozenge shape is often used in parquetry (with acute angles that are 360°/n with n being an integer higher than 4, because they can be used to form a set of tiles of the same shape and size, reusable to cover the plane in various geometric patterns as the result of a tiling process called tessellation in mathematics) and as decoration on ...

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