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In mathematics, a Voronoi diagram is a special kind of decomposition of a metric space determined by distances to a specified discrete set of obj… Read More
In mathematics, a Voronoi diagram is a special kind of decomposition of a metric space determined by distances to a specified discrete set of objects in the space, e.g., by a discrete set of points. It is named after Georgy Voronoi, also called a Voronoi tessellation, a Voronoi decomposition, or a Dirichlet tessellation (after Lejeune Dirichlet), In the simplest case, we are given a set of points S in the plane, which are the Voronoi sites. Each site s has a Voronoi cell, also called a Dirichlet cell, V(s) consisting of all points closer to s than to any other site. The segments of the Voronoi diagram are all the points in the plane that are equidistant to the two nearest sites. The Voronoi nodes are the points equidistant to three (or more) sites. A point location data structure can be built on top of the Voronoi diagram in order to answer nearest neighbor queries, where one wants to find the object that is closest to a given query point. Nearest neighbor queries have numerous applications. For example, when one wants to find the nearest hospital, or the most similar object in a database. A large application is vector quantization, commonly used in data compression. With a given Voronoi diagram, one can also find the largest empty circle amongst a set of points, and in an enclosing polygon; e.g. to build a new supermarket as far as possible from all the existing ones, lying in a certain city. The Voronoi diagram is useful in polymer physics. It can be used to represent free volume of the polymer. It is also used in derivations of the capacity of a wireless network. Read Less
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Fascination with the usefulness of mathematicalstructures as well as properties of the course and projection of light were aninspiration of the project. The lamp is the result, of which the light issubstance, and structure is a three-dimensional amplification of a Voronoi diagram.

Inmathematics, a Voronoi diagram is a special kind of decomposition of a metricspace determined by distances to a specified discreteset of objects in the space, e.g., by a discrete set of points. It is namedafter Georgy Voronoi, also called aVoronoi tessellation, a Voronoidecomposition, or a Dirichlettessellation (after Lejeune Dirichlet),In the simplest case, we are given a set of points S in the plane, which arethe Voronoi sites. Each site s has a Voronoi cell, also called a Dirichlet cell, V(s) consisting of allpoints closer to s than to any other site. The segments of the Voronoi diagramare all the points in the plane that are equidistant to the two nearest sites.The Voronoi nodes are the points equidistant to three (or more) sites. A pointlocation data structure can be built on top of the Voronoi diagram in order toanswer nearest neighbour queries, where one wants to find the object that isclosest to a given query point. Nearest neighbour queries have numerousapplications.

Each cell is unique for the shape and is"powered" by one source of light causing its projection at differentangles. As a result a multi-figure pattern of various degree of intensitydevelops on surfaces of a lighted room and, every lamp in view because ofself-transparency isthe source of a warm light. Apart fromthis variation a possibility of using materials of a greater degree of transparencyalso exists, giving more light in the room, but minimizing the effect of castpattern and the contrary, i.e. using an opaque material in different colors, incase of which the holes of cells will be the only source of light.

Light Machine has a number of possible realizations, sincehere a product is a parametric definition allowing to create any final effectdepending on adjusted earlier values. The definition is created in Grasshopper - agraphical algorithm editor tightly integrated with Rhino’s 3-D modelling tools. It enables a simple change ofparameters at the stage of design what in the end gives the possibility of fastproduction of the final results and choice this one which meets given needs themost. In case of Light Machine anamount, a size and a length of cells, a size of their holes, as well as a scaleof every lamp are the basic parameters. The next part of definition gives alsothe possibility of targeting the light at a given object in the room, or at agroup of objects lighted from one source of light through defining appropriateangles of very cells or their groups by means of attractors. In result on thecondition of applying opaque material which reflects the light we obtain thepossibilities of suspending such a lamp in any point of room and lighting itschosen elements with individual groups of cells depending on theircondensation.

The nextphase is a digital production and fitting done based on a standard solution,identical for every variation. Each
Light Machine, as an example of masscustomization in a product designis a unique product, a prototype made to cbr id="yui_3_3_0_3_132853040963947">