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In quilting, it has been known since the 1850s as the "tumbling blocks" pattern, referring to the visual dissonance caused by its doubled three-dimensional interpretation. [ 2 ] [ 15 ] [ 17 ] As a quilting pattern it also has many other names including cubework, heavenly stairs, and Pandora's box. [ 17 ]
The geometric patterns of quilts can be seen in the patterns of many hex signs. Hearts and tulips seen on barns are commonly found on elaborately lettered and decorated birth, baptism, and marriage certificates known as fraktur .
An aperiodic tiling uses a small set of tile shapes that cannot form a repeating pattern (an aperiodic set of prototiles). A tessellation of space, also known as a space filling or honeycomb, can be defined in the geometry of higher dimensions. A real physical tessellation is a tiling made of materials such as cemented ceramic squares or hexagons.
The pattern represented by every finite patch of tiles in a Penrose tiling occurs infinitely many times throughout the tiling. They are quasicrystals: implemented as a physical structure a Penrose tiling will produce diffraction patterns with Bragg peaks and five-fold symmetry, revealing the repeated patterns and fixed orientations of its tiles ...
An album quilt (c. 1850), part of the collection at the Baltimore Museum of Art. Baltimore album quilts originated in Baltimore, Maryland, in the 1840s. They have become one of the most popular styles of quilts and are still made today. These quilts are made up of a number of squares called blocks. Each block has been appliquéd with a ...
In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex. It has Schläfli symbol of {6,3} or t{3,6} (as a truncated triangular tiling).