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  2. Tessellation - Wikipedia

    en.wikipedia.org/wiki/Tessellation

    The familiar "brick wall" tiling is not edge-to-edge because the long side of each rectangular brick is shared with two bordering bricks. [18] A normal tiling is a tessellation for which every tile is topologically equivalent to a disk, the intersection of any two tiles is a connected set or the empty set, and all tiles are uniformly bounded ...

  3. Periodic boundary conditions - Wikipedia

    en.wikipedia.org/wiki/Periodic_boundary_conditions

    Periodic boundary conditions in 2D Unit cell with water molecules, used to simulate flowing water. Periodic boundary conditions (PBCs) are a set of boundary conditions which are often chosen for approximating a large (infinite) system by using a small part called a unit cell. PBCs are often used in computer simulations and mathematical models.

  4. Microscope image processing - Wikipedia

    en.wikipedia.org/wiki/Microscope_image_processing

    Microscope image processing is a broad term that covers the use of digital image processing techniques to process, analyze and present images obtained from a microscope. Such processing is now commonplace in a number of diverse fields such as medicine, biological research, cancer research, drug testing, metallurgy, etc. A number of ...

  5. List of aperiodic sets of tiles - Wikipedia

    en.wikipedia.org/wiki/List_of_aperiodic_sets_of...

    A tiling that cannot be constructed from a single primitive cell is called nonperiodic. If a given set of tiles allows only nonperiodic tilings, then this set of tiles is called aperiodic . [ 3 ] The tilings obtained from an aperiodic set of tiles are often called aperiodic tilings , though strictly speaking it is the tiles themselves that are ...

  6. Digital microscope - Wikipedia

    en.wikipedia.org/wiki/Digital_microscope

    An insect observed with a digital microscope. Entomologist using a digital microscope to magnify a miniature insect. A digital microscope is a variation of a traditional optical microscope that uses optics and a digital camera to output an image to a monitor, sometimes by means of software running on a computer.

  7. Neuronal tiling - Wikipedia

    en.wikipedia.org/wiki/Neuronal_tiling

    Neuronal tiling is a phenomenon in which multiple arbors of neurons innervate the same surface or tissue in a nonredundant and tiled pattern that maximizes coverage of the surface while minimizing overlap between neighboring arbors. [1] Hence, dendrites of the same neuron spread out by avoiding one another (self-avoidance). Moreover, dendrites ...

  8. 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 ...

  9. Hexagonal tiling - Wikipedia

    en.wikipedia.org/wiki/Hexagonal_tiling

    Hexagonal tiling is the densest way to arrange circles in two dimensions. The honeycomb conjecture states that hexagonal tiling is the best way to divide a surface into regions of equal area with the least total perimeter.