Definition of Prototiles. Meaning of Prototiles. Synonyms of Prototiles

- number of prototiles in which all tiles in the tessellation are congruent to the given prototiles. If a geometric shape can be used as a prototile to create...
- prototiles for a tiling: translating or rotating any one of the prototiles produces another valid set of prototiles. However, every set of prototiles...
- only a finite number of shapes. These shapes are called prototiles, and a set of prototiles is said to admit a tiling or tile the plane if there is a...
- 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...
- A set of prototiles is aperiodic if copies of the prototiles can be ****embled to create tilings, such that all possible tessellation patterns are non-periodic...
- set of prototiles that admits a tiling of the plane also admits a periodic tiling. In 1964, Robert Berger found an aperiodic set of prototiles from which...
- angles. Kites of two shapes (one convex and one non-convex) form the prototiles of one of the forms of the Penrose tiling. Kites also form the faces of...
- rule showing how to dissect the expanded prototiles Q T i {\displaystyle QT_{i}} to form copies of some prototiles T j {\displaystyle T_{j}} . Intuitively...
- regular octagon. The Ammann–Beenker tiling is a nonperiodic tesselation of prototiles that feature prominent octagonal silver eightfold symmetry, that is the...
- together. Several variations of this tiling have been studied, all of whose prototiles exhibit the golden ratio: Penrose's original version of this tiling used...