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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. 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. Aztec diamond - Wikipedia

    en.wikipedia.org/wiki/Aztec_diamond

    The Aztec diamond theorem states that the number of domino tilings of the Aztec diamond of order n is 2 n(n+1)/2. [2] The Arctic Circle theorem says that a random tiling of a large Aztec diamond tends to be frozen outside a certain circle. [3] It is common to color the tiles in the following fashion. First consider a checkerboard coloring of ...

  5. 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 ...

  6. 50 Genius Closet Organization Ideas That Will Make Your Life ...

    www.aol.com/genius-organization-hacks-closet...

    These 50 genius closet organization ideas from designer homes will help you declutter and transform your wardrobe into a tidy and luxurious space.

  7. Cairo pentagonal tiling - Wikipedia

    en.wikipedia.org/wiki/Cairo_pentagonal_tiling

    The union of all edges of a Cairo tiling is the same as the union of two tilings of the plane by hexagons.Each hexagon of one tiling surrounds two vertices of the other tiling, and is divided by the hexagons of the other tiling into four of the pentagons in the Cairo tiling. [4]

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