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Penrose Stairs
The Penrose stairs or Penrose steps, also dubbed the impossible staircase, is an impossible object created by Oscar Reutersvärd in 1937 and later independently discovered and made popular by Lionel Penrose and his son Roger Penrose. A variation on the Penrose triangle, it is a two-dimensional depiction of a staircase in which the stairs make four 90-degree turns as they ascend or descend yet form a continuous loop, so that a person could climb them forever and never get any higher. This is clearly impossible in three-dimensional Euclidean geometry but possible in some non-Euclidean geometry like in nil geometry. The "continuous staircase" was first presented in an article that the Penroses wrote in 1959, based on the so-called "triangle of Penrose" published by Roger Penrose in the ''British Journal of Psychology'' in 1958. M.C. Escher then discovered the Penrose stairs in the following year and made his now famous lithograph ''Klimmen en dalen'' (''Ascending and Descending'') in ...
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Impossible Staircase
The Penrose stairs or Penrose steps, also dubbed the impossible staircase, is an impossible object created by Oscar Reutersvärd in 1937 and later independently discovered and made popular by Lionel Penrose and his son Roger Penrose. A variation on the Penrose triangle, it is a two-dimensional depiction of a staircase in which the stairs make four 90-degree turns as they ascend or descend yet form a continuous loop, so that a person could climb them forever and never get any higher. This is clearly impossible in three-dimensional Euclidean geometry but possible in some non-Euclidean geometry like in nil geometry. The "continuous staircase" was first presented in an article that the Penroses wrote in 1959, based on the so-called "triangle of Penrose" published by Roger Penrose in the ''British Journal of Psychology'' in 1958. M.C. Escher then discovered the Penrose stairs in the following year and made his now famous lithograph ''Klimmen en dalen'' (''Ascending and Descending'') in ...
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Psychology
Psychology is the scientific study of mind and behavior. Psychology includes the study of conscious and unconscious phenomena, including feelings and thoughts. It is an academic discipline of immense scope, crossing the boundaries between the natural and social sciences. Psychologists seek an understanding of the emergent properties of brains, linking the discipline to neuroscience. As social scientists, psychologists aim to understand the behavior of individuals and groups.Fernald LD (2008)''Psychology: Six perspectives'' (pp.12–15). Thousand Oaks, CA: Sage Publications.Hockenbury & Hockenbury. Psychology. Worth Publishers, 2010. Ψ (''psi''), the first letter of the Greek word ''psyche'' from which the term psychology is derived (see below), is commonly associated with the science. A professional practitioner or researcher involved in the discipline is called a psychologist. Some psychologists can also be classified as behavioral or cognitive scientists. Some psyc ...
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Optical Illusions
Within visual perception, an optical illusion (also called a visual illusion) is an illusion caused by the visual system and characterized by a visual percept that arguably appears to differ from reality. Illusions come in a wide variety; their categorization is difficult because the underlying cause is often not clear but a classification proposed by Richard Gregory is useful as an orientation. According to that, there are three main classes: physical, physiological, and cognitive illusions, and in each class there are four kinds: Ambiguities, distortions, paradoxes, and fictions. A classical example for a physical distortion would be the apparent bending of a stick half immerged in water; an example for a physiological paradox is the motion aftereffect (where, despite movement, position remains unchanged). An example for a physiological fiction is an afterimage. Three typical cognitive distortions are the Ponzo, Poggendorff, and Müller-Lyer illusion. Physical illusions are ...
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Taschen
Taschen is a luxury art book publisher founded in 1980 by Benedikt Taschen in Cologne, Germany. As of January 2017, Taschen is co-managed by Benedikt and his eldest daughter, Marlene Taschen. History The company began as Taschen Comics, publishing Benedikt's comic collection. Taschen focuses on making lesser-seen art available to mainstream bookstores, including fetishistic imagery, queer art, historical erotica, pornography, and adult magazines (including multiple books with ''Playboy'' magazine). The firm has brought potentially controversial art into broader public view, publishing it alongside its more mainstream books of comics reprints, art photography, painting, design, fashion, advertising history, film, and architecture.Degen Pener''Taschen Books Chief Reveals New Projects, Talks 'Fifty Shades' and $12M Books'' published in The Hollywood Reporter, 25 November 2014 Taschen publications are available in a various sizes, from oversized tomes to small pocket-sized ...
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Strange Loop
A strange loop is a cyclic structure that goes through several levels in a hierarchical system. It arises when, by moving only upwards or downwards through the system, one finds oneself back where one started. Strange loops may involve self-reference and paradox. The concept of a strange loop was proposed and extensively discussed by Douglas Hofstadter in '' Gödel, Escher, Bach'', and is further elaborated in Hofstadter's book ''I Am a Strange Loop'', published in 2007. A tangled hierarchy is a hierarchical consciousness system in which a strange loop appears. Definitions A strange loop is a hierarchy of levels, each of which is linked to at least one other by some type of relationship. A strange loop hierarchy is "tangled" (Hofstadter refers to this as a "heterarchy"), in that there is no well defined highest or lowest level; moving through the levels, one eventually returns to the starting point, i.e., the original level. Examples of strange loops that Hofstadter offers ...
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Shepard Tone
A Shepard tone, named after Roger Shepard, is a sound consisting of a superposition of sine waves separated by octaves. When played with the bass pitch of the tone moving upward or downward, it is referred to as the ''Shepard scale''. This creates the auditory illusion of a tone that seems to continually ascend or descend in pitch, yet which ultimately gets no higher or lower. Construction Each square in Figure 1 indicates a tone, with any set of squares in vertical alignment together making one Shepard tone. The color of each square indicates the loudness of the note, with purple being the quietest and green the loudest. Overlapping notes that play at the same time are exactly one octave apart, and each scale fades in and fades out so that hearing the beginning or end of any given scale is impossible. As a conceptual example of an ascending Shepard scale, the first tone could be an almost inaudible C4 ( middle C) and a loud C5 (an octave higher). The next would be a slight ...
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Mathematics And Art
Mathematics and art are related in a variety of ways. Mathematics has itself been described as an art motivated by beauty. Mathematics can be discerned in arts such as music, dance, painting, architecture, sculpture, and textiles. This article focuses, however, on mathematics in the visual arts. Mathematics and art have a long historical relationship. Artists have used mathematics since the 4th century BC when the Greek sculptor Polykleitos wrote his ''Canon'', prescribing proportions conjectured to have been based on the ratio 1: for the ideal male nude. Persistent popular claims have been made for the use of the golden ratio in ancient art and architecture, without reliable evidence. In the Italian Renaissance, Luca Pacioli wrote the influential treatise '' De divina proportione'' (1509), illustrated with woodcuts by Leonardo da Vinci, on the use of the golden ratio in art. Another Italian painter, Piero della Francesca, developed Euclid's ideas on perspective in treat ...
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Angles (The Strokes Album)
''Angles'' is the fourth studio album by American rock band The Strokes. It was released on March 18, 2011, through RCA Records. It was the group's first album in over five years, following ''First Impressions of Earth'' (2005). Recording After touring in support of ''First Impressions of Earth'', the Strokes went on an extended hiatus in 2007 and then regrouped two years later to begin writing new material for a fourth album. The album took more than two years to materialize, with the band recording live demos of 18 songs before heading into Avatar Studios in New York with producer Joe Chiccarelli, but without Casablancas. Not long after recording began, however, the band became frustrated with both Chiccarelli's reserved production style and Casablancas' absence. Only one song from these recording sessions, "Life Is Simple in the Moonlight", remained in its original form on the album's track listing. The rest of the songs were either scrapped or reworked by the band with enginee ...
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Inception
''Inception'' is a 2010 science fiction action film written and directed by Christopher Nolan, who also produced the film with Emma Thomas, his wife. The film stars Leonardo DiCaprio as a professional thief who steals information by infiltrating the subconscious of his targets. He is offered a chance to have his criminal history erased as payment for the implantation of another person's idea into a target's subconscious. The ensemble cast includes Ken Watanabe, Joseph Gordon-Levitt, Marion Cotillard, Elliot Page, Tom Hardy, Dileep Rao, Cillian Murphy, Tom Berenger, and Michael Caine. After the 2002 completion of ''Insomnia'', Nolan presented to Warner Bros. a written 80-page treatment for a horror film envisioning "dream stealers," based on lucid dreaming. Deciding he needed more experience before tackling a production of this magnitude and complexity, Nolan shelved the project and instead worked on 2005's ''Batman Begins'', 2006's ''The Prestige'', and ''The Dark Knight ...
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Internet Hoax
A hoax is a widely publicized falsehood so fashioned as to invite reflexive, unthinking acceptance by the greatest number of people of the most varied social identities and of the highest possible social pretensions to gull its victims into putting up the highest possible social currency in support of the hoax. Whereas the promoters of frauds, fakes, and scams devise them so that they will withstand the highest degree of scrutiny customary in the affair, hoaxers are confident, justifiably or not, that their representations will receive no scrutiny at all. They have such confidence because their representations belong to a world of notions fundamental to the victims' views of reality, but whose truth and importance they accept without argument or evidence, and so never question. Some hoaxers intend eventually to unmask their representations as in fact a hoax so as to expose their victims as fools; seeking some form of profit, other hoaxers hope to maintain the hoax indefini ...
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Rochester Institute Of Technology
Rochester Institute of Technology (RIT) is a private university, private research university in the town of Henrietta, New York, Henrietta in the Rochester, New York, metropolitan area. The university offers undergraduate and graduate degrees, including Doctorate, doctoral and professional degrees and Online degree, online masters as well. The university was founded in 1829 and is the tenth largest private university in the United States in terms of full-time students. It is internationally known for its science, computer, engineering, and art programs, as well as for the National Technical Institute for the Deaf, a leading deaf-education institution that provides educational opportunities to more than 1000 deaf and hard-of-hearing students. RIT is known for its Cooperative education, C o-op program, which blends professional and industrial experience with traditional classroom based instruction. It has the fourth oldest and one of the largest co-op programs in the world. It ...
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Viral Video
A viral video is a video that becomes popular through a viral process of Internet sharing, typically through video sharing websites such as YouTube as well as social media and email.Lu Jiang, Yajie Miao, Yi Yang, ZhenZhong Lan, Alexander Hauptmann. Viral Video Style: A Closer Look at Viral Videos on YouTube. Retrieved 30 March 2016. Paper: https://www.cs.cmu.edu/~lujiang/camera_ready_papers/ICMR2014-Viral.pdf Slides: https://www.cs.cmu.edu/~lujiang/resources/ViralVideos.pdf For a video to be shareable or spreadable, it must focus on the social logics and cultural practices that have enabled and popularized these new platforms, logics that explain why sharing has become such common practice, not just how. Viral videos may be serious, and some are deeply emotional, but many more are centered on entertainment and humorous content. They may include televised comedy sketches, such as '' The Lonely Island''s " Lazy Sunday" and "Dick in a Box", '' Numa Numa''
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