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  2. Penrose tiling - Wikipedia

    en.wikipedia.org/wiki/Penrose_tiling

    The original form of Penrose tiling used tiles of four different shapes, but this was later reduced to only two shapes: either two different rhombi, or two different quadrilaterals called kites and darts. The Penrose tilings are obtained by constraining the ways in which these shapes are allowed to fit together in a way that avoids periodic tiling.

  3. 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 ...

  4. 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 ...

  5. 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 ...

  6. Amakan - Wikipedia

    en.wikipedia.org/wiki/Amakan

    A typical amakan wall in a beach hut in Misamis Oriental Amakan walls in diamond and cross patterns in Bukidnon. Amakan, also known as sawali in the northern Philippines, is a type of traditional woven split-bamboo mats used as walls, paneling, or wall cladding in the Philippines. [1]

  7. 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.

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