Space Harmony
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Space Harmony
Rudolf Laban created a movement theory and practice that reflected what he recognized as Space Harmony. The practice/theory is based on universal patterns of nature and of man as part of a universal design/order and was named by Laban: Space Harmony or Choreutics. Laban, who laid the foundation for Laban Movement Analysis, was interested in the series of natural sequences of movements that we follow in our various everyday activity.Laban, Rudolf. ''Choreutics'' (1966, 2011). Dance Books Ltd. Being a dancer/choreographer, he saw the everyday patterns of human action and abstracted the essence of these into the “art of movement”. He saw spatial patterns in human movement and recognized the shapes of the Platonic Solids within these patterns. He applied the ideal patterns of the Platonic Solids as forms to the actualized movement of humans – aligning with and closely approximating the space of these forms. Linking the directions of the vertices of a shape, following the natural ...
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Rudolf Laban
Rudolf von Laban, also known as Rudolf Laban (German; also ''Rudolph von Laban'', hu, Lábán Rezső János Attila, Lábán Rudolf; 15 December 1879 – 1 July 1958), was an Austro-Hungarian, German and British dance artist, choreographer and dance theorist. He is considered a "founding father of expressionist dance", and a pioneer of modern dance. His theoretical innovations included Laban movement analysis (a way of documenting human movement) and Labanotation (a movement notation system), which paved the way for further developments in dance notation and movement analysis. He initiated one of the main approaches to dance therapy. His work on theatrical movement has also been influential. He attempted to apply his ideas to several other fields, including architecture, education, industry, and management. Following a rehearsal of choreography he had prepared for the 1936 Summer Olympics in Berlin, Laban was targeted by the Nazi party. He eventually found refuge in England in ...
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Seven Bridges Of Königsberg
The Seven Bridges of Königsberg is a historically notable problem in mathematics. Its negative resolution by Leonhard Euler in 1736 laid the foundations of graph theory and prefigured the idea of topology. The city of Königsberg in Prussia (now Kaliningrad, Russia) was set on both sides of the Pregel River, and included two large islands—Kneiphof and Lomse—which were connected to each other, and to the two mainland portions of the city, by seven bridges. The problem was to devise a walk through the city that would cross each of those bridges once and only once. By way of specifying the logical task unambiguously, solutions involving either # reaching an island or mainland bank other than via one of the bridges, or # accessing any bridge without crossing to its other end are explicitly unacceptable. Euler proved that the problem has no solution. The difficulty he faced was the development of a suitable technique of analysis, and of subsequent tests that established this ...
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Trefoil Knot
In knot theory, a branch of mathematics, the trefoil knot is the simplest example of a nontrivial knot. The trefoil can be obtained by joining together the two loose ends of a common overhand knot, resulting in a knotted loop. As the simplest knot, the trefoil is fundamental to the study of mathematical knot theory. The trefoil knot is named after the three-leaf clover (or trefoil) plant. Descriptions The trefoil knot can be defined as the curve obtained from the following parametric equations: :\begin x &= \sin t + 2 \sin 2t \\ y &= \cos t - 2 \cos 2t \\ z &= -\sin 3t \end The (2,3)-torus knot is also a trefoil knot. The following parametric equations give a (2,3)-torus knot lying on torus (r-2)^2+z^2 = 1: :\begin x &= (2+\cos 3t) \cos 2t \\ y &= (2+\cos 3t )\sin 2t \\ z &= \sin 3t \end Any continuous deformation of the curve above is also considered a trefoil knot. Specifically, any curve isotopic to a trefoil knot is also considered to be a trefoil. In addition, the mi ...
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Blue Trefoil Knot
Blue is one of the three primary colours in the RYB colour model (traditional colour theory), as well as in the RGB (additive) colour model. It lies between violet and cyan on the spectrum of visible light. The eye perceives blue when observing light with a dominant wavelength between approximately 450 and 495 nanometres. Most blues contain a slight mixture of other colours; azure contains some green, while ultramarine contains some violet. The clear daytime sky and the deep sea appear blue because of an optical effect known as Rayleigh scattering. An optical effect called Tyndall effect explains blue eyes. Distant objects appear more blue because of another optical effect called aerial perspective. Blue has been an important colour in art and decoration since ancient times. The semi-precious stone lapis lazuli was used in ancient Egypt for jewellery and ornament and later, in the Renaissance, to make the pigment ultramarine, the most expensive of all pigments. In th ...
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