In geometry, the hexagonal tiling is a regular tiling of the Euclidean plane. A uniform polyhedron is a polyhedron with regular polygons as faces and identical vertices. ... A regular hexagon A hexagon (also known as sexagon) is a polygon with six edges and six vertices. ... The symmetry group of an object (e. ... In geometry, polyhedra are associated into pairs called duals, where the vertices of one correspond to the faces of the other. ... Something is called planar if it is made up of flat planes, or pertaining to planes. ... // Introduction Geometry (Greek ΓεωμετÏια, geo = earth, metria = measure ) arose as the field of knowledge dealing with spatial relationships. ...
The internal angle of the hexagon is 120 degrees so three hexagons at a point make a full 360 degrees. It is one of three regular tilings of the plane. The other two are the square tiling and the triangular tiling.
This hexagonal pattern exists in nature in a beehive's honeycomb. Honeycomb on a Langstroth frame A honeycomb is a mass of hexagonal wax cells built by honeybees in their nests to contain their larvae and stores of honey and pollen. ...
The utility of the bingo-card lattices lies in their ability to show the "vanishing commas", i.e., the small intervals which are tempered out in a particular EDO.
Below is a lattice using triangular geometry, resulting in a hexagonal cell representing each lattice-point, showing many of these intervals, with most of the more important ones labeled with the names in common use among tuning theorists c.
In this and all of the "tiling" lattices below, the objective was to outline the periodicity-blocks which forms the source-cell at the center of the lattice -- i.e., all ratios as close as possible, by the taxicab metric, to the 1/1 at the origin point.
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