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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.
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 ...
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. These rules can be varied. Common ones are that there must be no gaps between tiles, and that no corner of one tile can lie along the edge ...
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 ...
V3.6.3.6. Properties. edge-transitive, face-transitive. In geometry, the rhombille tiling, [1] also known as tumbling blocks, [2] reversible cubes, or the dice lattice, is a tessellation of identical 60° rhombi on the Euclidean plane. Each rhombus has two 60° and two 120° angles; rhombi with this shape are sometimes also called diamonds.
This template is intended to provide consistent and easy linking between tessellation and tiling related templates. See also {{Polyhedron templates}}
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.
Hyperbolic; Article Vertex configuration Schläfli symbol Image Snub tetrapentagonal tiling: 3 2.4.3.5 : sr{5,4} Snub tetrahexagonal tiling: 3 2.4.3.6 : sr{6,4} Snub tetraheptagonal tiling