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  2. Pinwheel (toy) - Wikipedia

    en.wikipedia.org/wiki/Pinwheel_(toy)

    The design for example is typical of a japanese origami folding technique for a pinwheel. [citation needed] During the nineteenth century in the United States, any wind-driven toy held aloft by a running child was characterized as a whirligig, including pinwheels. Pinwheels provided many children with numerous minutes of enjoyment and amusement ...

  3. Pythagorean tiling - Wikipedia

    en.wikipedia.org/wiki/Pythagorean_tiling

    A Pythagorean tiling Street Musicians at the Door, Jacob Ochtervelt, 1665.As observed by Nelsen [1] the floor tiles in this painting are set in the Pythagorean tiling. A Pythagorean tiling or two squares tessellation is a tiling of a Euclidean plane by squares of two different sizes, in which each square touches four squares of the other size on its four sides.

  4. Aperiodic tiling - Wikipedia

    en.wikipedia.org/wiki/Aperiodic_tiling

    The Penrose tiling is an example of an aperiodic tiling; every tiling it can produce lacks translational symmetry. An aperiodic tiling using a single shape and its reflection, discovered by David Smith

  5. Pinwheel tiling - Wikipedia

    en.wikipedia.org/wiki/Pinwheel_tiling

    Federation Square's sandstone façade. Federation Square, a building complex in Melbourne, Australia, features the pinwheel tiling.In the project, the tiling pattern is used to create the structural sub-framing for the facades, allowing for the facades to be fabricated off-site, in a factory and later erected to form the facades.

  6. Voderberg tiling - Wikipedia

    en.wikipedia.org/wiki/Voderberg_tiling

    Because it has no translational symmetries, the Voderberg tiling is technically non-periodic, even though it exhibits an obvious repeating pattern. This tiling was the first spiral tiling to be devised, [ 5 ] preceding later work by Branko Grünbaum and Geoffrey C. Shephard in the 1970s. [ 1 ]

  7. Paperweight - Wikipedia

    en.wikipedia.org/wiki/Paperweight

    Swirl paperweights have opaque rods of two or three colors radiating like a pinwheel from a central millefiori floret. A similar style, the marbrie, is a paperweight that has several bands of color close to the surface that descend from the apex in a looping pattern to the bottom of the weight.

  8. List of aperiodic sets of tiles - Wikipedia

    en.wikipedia.org/wiki/List_of_aperiodic_sets_of...

    In geometry, a tiling is a partition of the plane (or any other geometric setting) into closed sets (called tiles), without gaps or overlaps (other than the boundaries of the tiles). [1]

  9. Wallpaper group - Wikipedia

    en.wikipedia.org/wiki/Wallpaper_group

    A wallpaper group (or plane symmetry group or plane crystallographic group) is a mathematical classification of a two-dimensional repetitive pattern, based on the symmetries in the pattern. Such patterns occur frequently in architecture and decorative art, especially in textiles, tiles, and wallpaper.