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  2. Honeycomb - Wikipedia

    en.wikipedia.org/wiki/Honeycomb

    If the honeycomb is too worn out, the wax can be reused in a number of ways, including making sheets of comb foundation with a hexagonal pattern. Such foundation sheets allow the bees to build the comb with less effort, and the hexagonal pattern of worker-sized cell bases discourages the bees from building the larger drone cells.

  3. Honeycomb (geometry) - Wikipedia

    en.wikipedia.org/wiki/Honeycomb_(geometry)

    Similarly, in a proper honeycomb, there must be no edges or vertices lying part way along the face of a neighbouring cell. Interpreting each brick face as a hexagon having two interior angles of 180 degrees allows the pattern to be considered as a proper tiling. However, not all geometers accept such hexagons.

  4. 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.

  5. Beehive - Wikipedia

    en.wikipedia.org/wiki/Beehive

    Painted wooden beehives with active honey bees A honeycomb created inside a wooden beehive. A beehive is an enclosed structure where some honey bee species of the subgenus Apis live and raise their young. Though the word beehive is used to describe the nest of any bee colony, scientific and professional literature distinguishes nest from hive.

  6. Honeycomb conjecture - Wikipedia

    en.wikipedia.org/wiki/Honeycomb_conjecture

    A regular hexagonal grid This honeycomb forms a circle packing, with circles centered on each hexagon. The honeycomb conjecture states that a regular hexagonal grid or honeycomb has the least total perimeter of any subdivision of the plane into regions of equal area. The conjecture was proven in 1999 by mathematician Thomas C. Hales. [1]

  7. Pattern Blocks - Wikipedia

    en.wikipedia.org/wiki/Pattern_blocks

    A number of compatible shapes that extend pattern blocks are commercially available. Two sets of "Fractional Pattern Blocks" exist: both with two blocks. [7] The first has a pink double hexagon and a black chevron equivalent to four triangles. The second has a brown half-trapezoid and a pink half-triangle.

  8. Tessellation - Wikipedia

    en.wikipedia.org/wiki/Tessellation

    A rhombitrihexagonal tiling: tiled floor in the Archeological Museum of Seville, Spain, using square, triangle, and hexagon prototiles Tessellation in two dimensions, also called planar tiling, is a topic in geometry that studies how shapes, known as tiles , can be arranged to fill a plane without any gaps, according to a given set of rules.

  9. Langstroth hive - Wikipedia

    en.wikipedia.org/wiki/Langstroth_hive

    In beekeeping, a Langstroth hive is any vertically modular beehive that has the key features of vertically hung frames, a bottom board with entrance for the bees, boxes containing frames for brood and honey (the lowest box for the queen to lay eggs, and boxes above where honey may be stored) and an inner cover and top cap to provide weather protection. [1]

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