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  2. Penrose tiling - Wikipedia

    en.wikipedia.org/wiki/Penrose_tiling

    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 ...

  3. List of Euclidean uniform tilings - Wikipedia

    en.wikipedia.org/wiki/List_of_euclidean_uniform...

    The Laves tilings have vertices at the centers of the regular polygons, and edges connecting centers of regular polygons that share an edge. The tiles of the Laves tilings are called planigons. This includes the 3 regular tiles (triangle, square and hexagon) and 8 irregular ones. [4] Each vertex has edges evenly spaced around it.

  4. Euclidean tilings by convex regular polygons - Wikipedia

    en.wikipedia.org/wiki/Euclidean_tilings_by...

    Following Grünbaum and Shephard (section 1.3), a tiling is said to be regular if the symmetry group of the tiling acts transitively on the flags of the tiling, where a flag is a triple consisting of a mutually incident vertex, edge and tile of the tiling. This means that, for every pair of flags, there is a symmetry operation mapping the first ...

  5. Wang tile - Wikipedia

    en.wikipedia.org/wiki/Wang_tile

    In 1961, Wang conjectured that if a finite set of Wang tiles can tile the plane, then there also exists a periodic tiling, which, mathematically, is a tiling that is invariant under translations by vectors in a 2-dimensional lattice. This can be likened to the periodic tiling in a wallpaper pattern, where the overall pattern is a repetition of ...

  6. Today's Wordle Hint, Answer for #1303 on Sunday ... - AOL

    www.aol.com/todays-wordle-hint-answer-1303...

    Old Navy's Break a Sweat Sale has activewear from $2 — shop our top picks here. AOL. AOL reviewed: This smart humidifier helps me sleep better in the dry winter months. See all deals.

  7. 30 moves for 30 teams: One player every MLB club should sign ...

    www.aol.com/30-moves-30-teams-one-112017122.html

    It’s a new year but the same old shortfalls for Major League Baseball’s 30 franchises in search of the perfect offseason.. Fortunately, there’s plenty of time to shore up almost any ...