Tesselations

A tessellation of a flat surface is the tiling of a plane using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellations can be generalized to higher dimensions and a variety of geometries.

Wikipedia has some great info and is copied below.

In architecture, tessellations have been used to create decorative motifs since ancient times. Mosaic tilings often had geometric patterns.[4] Later civilisations also used larger tiles, either plain or individually decorated. Some of the most decorative were the Moorish wall tilings of Islamic architecture, using Girih and Zellige tiles in buildings such as the Alhambra[66] and La Mezquita.[67]

Tessellations frequently appeared in the graphic art of M. C. Escher; he was inspired by the Moorish use of symmetry in places such as the Alhambra when he visited Spain in 1936.[68] Escher made four "Circle Limit" drawings of tilings that use hyperbolic geometry.[69][70] For his woodcut "Circle Limit IV" (1960), Escher prepared a pencil and ink study showing the required geometry.[71] Escher explained that "No single component of all the series, which from infinitely far away rise like rockets perpendicularly from the limit and are at last lost in it, ever reaches the boundary line."[72]

Tessellated designs often appear on textiles, whether woven, stitched in or printed. Tessellation patterns have been used to design interlocking motifs of patch shapes in quilts.[73][74]

Tessellations are also a main genre in origami (paper folding), where pleats are used to connect molecules such as twist folds together in a repeating fashion.[75]

Smith Falls, Valentine Nebraska

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  • 1

    Find the Person Your are Assigned to Write About (Due March 8)

    First download the Nebraska People list to see the person you are assigned to write about. There is a link below the blue boxes.

  • 2

    Read About Your Person (Due March 8)

    Read a little about your person. Write down:
    1- an interesting fact about them
    2-what they are know for or contributed to Nebraska history.
    3-What you will draw and paint to illustrate something about this person or their contribution.

  • 3

    Write Your Paper (Due March 15)

    Write a full two page paper that tells us about your person. Use properly formed paragraphs. This will be typed, double spaced using 12 Verdana or Calibri. Make sure your name, class, title of your paper and date are in the headings.

  • 4

    Create Your Illustration (Due March 15)

    You will create an original illustration that shows us something about your person or their contribution. The size of your illustration will be 9x12. It can be on any surface and can be completed using water color, colored pencil, marker, or acrylic. Full color value is expected.