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This template's initial visibility currently defaults to autocollapse, meaning that if there is another collapsible item on the page (a navbox, sidebar, or table with the collapsible attribute ), it is hidden apart from its title bar; if not, it is fully visible. To change this template's initial visibility, the |state= parameter may be used ...
Hexagonal tiling. In geometry, the hexagonal tiling or hexagonal tessellation is a regular tiling of the Euclidean plane, in which exactly three hexagons meet at each vertex. It has Schläfli symbol of {6,3} or t{3,6} (as a truncated triangular tiling). English mathematician John Conway called it a hextille .
Voronoi diagram. In mathematics, a Voronoi diagram is a partition of a plane into regions close to each of a given set of objects. It can be classified also as a tessellation. In the simplest case, these objects are just finitely many points in the plane (called seeds, sites, or generators). For each seed there is a corresponding region, called ...
A tessellation or tiling is the covering of a surface, often a plane, using one or more geometric shapes, called tiles, with no overlaps and no gaps. In mathematics, tessellation can be generalized to higher dimensions and a variety of geometries. A periodic tiling has a repeating pattern. Some special kinds include regular tilings with regular ...
English mathematician John Conway called it a deltille, named from the triangular shape of the Greek letter delta (Δ). The triangular tiling can also be called a kishextille by a kis operation that adds a center point and triangles to replace the faces of a hextille . It is one of three regular tilings of the plane.
This template is intended to provide consistent and easy linking between tessellation and tiling related templates. See also {{Polyhedron templates}}
The Voronoi diagram of a regular triangular lattice is the honeycomb tessellation of hexagons. A step-by-step animation of the construction of a regular hexagon using compass and straightedge , given by Euclid 's Elements , Book IV, Proposition 15: this is possible as 6 = {\displaystyle =} 2 × 3, a product of a power of two and distinct Fermat ...
Perspective projection of a 3x3x3x3 red-blue chessboard. In four-dimensional euclidean geometry, the tesseractic honeycomb is one of the three regular space-filling tessellations (or honeycombs ), represented by Schläfli symbol {4,3,3,4}, and consisting of a packing of tesseracts (4- hypercubes ). Its vertex figure is a 16-cell.
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