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Penrose tiling. A Penrose tiling is an example of an aperiodic tiling. Here, a tiling is a covering of the plane by non-overlapping polygons or other shapes, and a tiling is aperiodic if it does not contain arbitrarily large periodic regions or patches. However, despite their lack of translational symmetry, Penrose tilings may have both ...
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.
sine die. Adjournment sine die (from Latin "without a day") is the conclusion of a meeting by a deliberative assembly, such as a legislature or organizational board, without setting a day to reconvene. [1] The assembly can reconvene, either in its present form or a reconstituted form, if preexisting laws and rules provide for this.
Aperiodic tiling with "Tile(1,1)". The tiles are colored according to their rotational orientation modulo 60 degrees. [1] ( Smith, Myers, Kaplan, and Goodman-Strauss) In plane geometry, the einstein problem asks about the existence of a single prototile that by itself forms an aperiodic set of prototiles; that is, a shape that can tessellate space but only in a nonperiodic way.
Dual to Ammann A2. Tilings MLD from the tilings by the Shield tiles. Tilings MLD from the tilings by the Socolar tiles. Tiling is MLD to Penrose P1, P2, P3, and Robinson triangles. Tiling is MLD to Penrose P1, P2, P3, and "Starfish, ivy leaf, hex". Date is for publication of matching rules.
Euclidean tilings are usually named after Cundy & Rollett’s notation. [1] This notation represents (i) the number of vertices, (ii) the number of polygons around each vertex (arranged clockwise) and (iii) the number of sides to each of those polygons. For example: 3 6; 3 6; 3 4.6, tells us there are 3 vertices with 2 different vertex types ...
A lame-duck session of Congress in the United States occurs whenever one Congress meets after its successor is elected, but before the successor's term begins. The expression is now used not only for a special session called after a sine die adjournment, but also for any portion of a regular session that falls after an election.
Definition. A tessellation of the plane or of any other space is a cover of the space by closed shapes, called tiles, that have disjoint interiors. Some of the tiles may be congruent to one or more others. If S is the set of tiles in a tessellation, a set R of shapes is called a set of prototiles if no two shapes in R are congruent to each ...