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===Different versions suggested by Brewster=== In his patent, Brewster perceived two forms for the kaleidoscope: *"most common form": two reflectors, small objects should be placed close to the aperture to be viewed at the other end<ref name=brewsterpatent/> * "The compound, or [[telescope|telescopic]] Kaleidoscope": a tube with two reflectors, sliding inside another tube with one to three convex lenses, to be applied to any object at any distance<ref name=brewsterpatent/> (this was later re-introduced as the [[teleidoscope]]) In his ''Treatise on the Kaleidoscope'' (1819) he described the basic form with an object cell: *"simple form": a tube with two reflectors and objects such as pieces of colored glass either fixed or placed loosely in cell on the end of the instrument<ref name=brewster1819/> [[File:1819 brewster - treatise on the kaleidoscope fig 33-36.jpg|thumb|Diagrams of the patterns of polycentral kaleidoscoped in ''Treatise on the Kaleidoscope'' (1819)]] Brewster also developed several variations: *"Polycentral Kaleidoscope" with three reflectors at angles of 60°: the infinite pattern of equilateral triangles was deemed "uncommonly splendid" by Brewster<ref name=brewster1819/> *"Polycentral Kaleidoscope" with three reflectors at angles of 90°, 45° and 45°: the pattern is not symmetrically arranged around the centre, but nonetheless deemed "very pleasing" by Brewster<ref name=brewster1819/> *"Polycentral Kaleidoscope" with three reflectors at angles of 90°, 60° and 30°: the pattern with 31 reflected images of the aperture, not symmetrically arranged around the centre. Brewster deemed the effect "very beautiful, particularly when the reflectors are metallic".<ref name=brewster1819/> *"Polycentral Kaleidoscopes" with four reflectors: square or rectangular kaleidoscope with an infinite pattern of squares or rectangles<ref name=brewster1819/> *projection kaleidoscopes by means of the solar microscope or the magic lantern, allowing more people to see the pattern<ref name=brewsterpatent/> *"Microscopic Kaleidoscope": minute kaleidoscopes (as small as one inch in length) for viewing microscopic objects, have also been worn by women as jewelry<ref name=brewster1819/> *placement of "regularly crystallised bodies or pieces of glass that have received the polarising structure" in front of the aperture, to introduce "the complementary colors of polarised light"<ref name=brewsterpatent/> *rectangular object plates moving through a groove cut in a cell attached to the ends of the reflector, allow for a greater variety in the motion of loose fragments. With fixed fragments a more calculated sequence of tints and shapes can be composed.<ref name=brewster1819/> *"a vibrating object plate": a smaller object plate containing loose objects can be made to vibrate on its lower edge by a gentle motion of the tube if the kaleidoscope is held horizontally<ref name=brewster1819/> *a colorless object plate, with either colorless pieces of glass or an irregular surface of transparent varnish, can be placed in front of a colorful object plate. The tints and outlines of the colorful pieces are softened by the refraction of the colorless pieces. The colorless objects supply outlines to the pattern. The colorless object plate can also produce fine colorless patterns when used alone.<ref name=brewster1819/> *instead of in an object cell, transparent fragments can be placed on a mirror and be combined with opaque fragments (for instance pieces of brass wire, coloured foils and grains of [[spelter]]) for the best effects<ref name=brewsterpatent/> *an object plate with fixed elements can be placed in cell, if the cell is rotated in front of the aperture the same patterns recur<ref name=brewster1819/> [[File:1817 brewster - kaleidoscope patent fig 4-5.jpg|thumb|Alternative positions of the reflectors in the kaleidoscope, as illustrated in the 1817 patent.]] *if the reflectors are kept separate (see Fig. 4 of patent illustration), annular patterns are shown<ref name=brewsterpatent/> *if the reflectors are placed parallel to each other (see Fig. 5 of patent illustration), rectilinear patterns are shown<ref name=brewsterpatent/> Brewster also imagined another application for the kaleidoscope: *a type of [[color organ]]: for a harmonic visual composition, with effects similar to musical composition, a very simple piece of machinery could be developed "for introducing objects of different forms and colours for varying the direction of the motion across the angular aperture and for accommodating the velocity of their motion to the effect which it is intended to produce.".<ref name=brewster1819/>
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