Pentakis Dodecahedron
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Pentakis Dodecahedron
In geometry, a pentakis dodecahedron or kisdodecahedron is the polyhedron created by attaching a pentagonal pyramid to each face of a regular dodecahedron; that is, it is the Kleetope of the dodecahedron. It is a Catalan solid, meaning that it is a dual of an Archimedean solid, in this case, the truncated icosahedron. Cartesian coordinates Let \phi be the golden ratio. The 12 points given by (0, \pm 1, \pm \phi) and cyclic permutations of these coordinates are the vertices of a regular icosahedron. Its dual regular dodecahedron, whose edges intersect those of the icosahedron at right angles, has as vertices the points (\pm 1, \pm 1, \pm 1) together with the points (\pm\phi, \pm 1/\phi, 0) and cyclic permutations of these coordinates. Multiplying all coordinates of the icosahedron by a factor of (3\phi+12)/19\approx 0.887\,057\,998\,22 gives a slightly smaller icosahedron. The 12 vertices of this icosahedron, together with the vertices of the dodecahedron, are the vertices o ...
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Pentakis Dodecahedron
In geometry, a pentakis dodecahedron or kisdodecahedron is the polyhedron created by attaching a pentagonal pyramid to each face of a regular dodecahedron; that is, it is the Kleetope of the dodecahedron. It is a Catalan solid, meaning that it is a dual of an Archimedean solid, in this case, the truncated icosahedron. Cartesian coordinates Let \phi be the golden ratio. The 12 points given by (0, \pm 1, \pm \phi) and cyclic permutations of these coordinates are the vertices of a regular icosahedron. Its dual regular dodecahedron, whose edges intersect those of the icosahedron at right angles, has as vertices the points (\pm 1, \pm 1, \pm 1) together with the points (\pm\phi, \pm 1/\phi, 0) and cyclic permutations of these coordinates. Multiplying all coordinates of the icosahedron by a factor of (3\phi+12)/19\approx 0.887\,057\,998\,22 gives a slightly smaller icosahedron. The 12 vertices of this icosahedron, together with the vertices of the dodecahedron, are the vertices o ...
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Dual Dodecahedron T01 A2
Dual or Duals may refer to: Paired/two things * Dual (mathematics), a notion of paired concepts that mirror one another ** Dual (category theory), a formalization of mathematical duality *** see more cases in :Duality theories * Dual (grammatical number), a grammatical category used in some languages * Dual county, a Gaelic games county which in both Gaelic football and hurling * Dual diagnosis, a psychiatric diagnosis of co-occurrence of substance abuse and a mental problem * Dual fertilization, simultaneous application of a P-type and N-type fertilizer * Dual impedance, electrical circuits that are the dual of each other * Dual SIM cellphone supporting use of two SIMs * Aerochute International Dual a two-seat Australian powered parachute design Acronyms and other uses * Dual (brand), a manufacturer of Hifi equipment * DUAL (cognitive architecture), an artificial intelligence design model * DUAL algorithm, or diffusing update algorithm, used to update Internet protocol routing ta ...
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De Blob 2
''De Blob 2'' (stylized as de bLob 2) is a platform puzzle video game and the sequel to the Wii 2008 video game ''De Blob''. As with its predecessor, ''De Blob 2'' was developed for home consoles by Blue Tongue Entertainment and published by THQ, this time in association with the TV network Syfy. Unlike ''de Blob'', however, ''de Blob 2'' was also released for other consoles other than the Wii; the game was released for the PlayStation 3, Xbox 360 and the Nintendo DS, with the latter version having been developed by Halfbrick Studios and taking place between ''de Blob'' and ''de Blob 2''. This was the last game to feature the 2000 THQ logo: it appears in-game and on the Australian box art of the Nintendo DS, PS3, Nintendo Wii, and Xbox 360 versions. In 2017, THQNordic collaborated with BlitWorks to re-release ''de Blob 2'' (as well as the first ''de Blob'') for then-current generation platforms. Both games were released on June 22, 2017, for Microsoft Windows and in 2018 for Play ...
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New Mexico
) , population_demonym = New Mexican ( es, Neomexicano, Neomejicano, Nuevo Mexicano) , seat = Santa Fe , LargestCity = Albuquerque , LargestMetro = Tiguex , OfficialLang = None , Languages = English, Spanish ( New Mexican), Navajo, Keres, Zuni , Governor = , Lieutenant Governor = , Legislature = New Mexico Legislature , Upperhouse = Senate , Lowerhouse = House of Representatives , Judiciary = New Mexico Supreme Court , Senators = * * , Representative = * * * , postal_code = NM , TradAbbreviation = N.M., N.Mex. , area_rank = 5th , area_total_sq_mi = 121,591 , area_total_km2 = 314,915 , area_land_sq_mi = 121,298 , area_land_km2 = 314,161 , area_water_sq_mi = 292 , area_water_km2 = 757 , area_water_percent = 0.24 , population_as_of = 2020 , population_rank = 36th , 2010Pop = 2,117,522 , population_density_rank = 45th , 2000DensityUS = 17.2 , 2000Density = 6.62 , MedianHouseholdIncome = $51,945 , IncomeRank = 45th , AdmittanceOrder = ...
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Doctor Atomic
''Doctor Atomic'' is an opera by the contemporary American composer John Adams, with libretto by Peter Sellars. It premiered at the San Francisco Opera on October 1, 2005. The work focuses on how leading figures at Los Alamos dealt with the great stress and anxiety of preparing for the test of the first atomic bomb (the "Trinity" test). In 2007, a documentary was made by Jon Else about the creation of the opera and collaboration between Adams and Sellars, titled ''Wonders Are Many''. Composition history The first act takes place about a month before the bomb is to be tested, and the second act is set in the early morning of July 16, 1945 (the day of the test). During the second act, time is shown slowing down for the characters and then snapping back to the clock. The opera ends in the final, prolonged moment before the bomb is detonated. Although the original commission for the opera suggested that U.S. physicist J. Robert Oppenheimer, the "father of the atomic bomb," be f ...
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The Crystal Maze
''The Crystal Maze'' is a British game show devised by Jacques Antoine, based upon his format for the French game show '' Fort Boyard'', and produced for Channel 4. The programme focuses on teams of contestants, a mixed group of men and women, attempting a range of challenges to earn time required to help them complete one final challenge, which if completed successfully earns them a prize. The premise of the show is themed around challenges set to different periods of human history within a fictional labyrinth of time and space (the titular "Crystal Maze"), and is notable for the use of golf ball-sized Swarovski glass crystals (referred to as "time crystals") as a reward for each challenge successfully completed by contestants, and lock-in conditions for contestants that ran out of time or broke a three-strikes rule on a challenge. ''The Crystal Maze'' originally consisted of six series, including five Christmas specials involving teams of children, which aired between 15 Febru ...
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Epcot
Epcot, stylized in all uppercase as EPCOT, is a theme park at the Walt Disney World Resort in Bay Lake, Florida. It is owned and operated by The Walt Disney Company through its Parks, Experiences and Products division. Inspired by an unrealized concept developed by Walt Disney, the park opened on October 1, 1982, as EPCOT Center, and was the second of four theme parks built at Walt Disney World, after Magic Kingdom Park. Spanning , more than twice the size of Magic Kingdom Park, Epcot is dedicated to the celebration of human achievement, namely technological innovation and international culture, and is often referred to as a "permanent world's fair". Epcot was originally conceived by Walt Disney during the early development of Walt Disney World, as an experimental planned community that would serve as a center for American enterprise and urban living. Known as "EPCOT", an acronym for Experimental Prototype Community of Tomorrow, the idea included an urban city center, resi ...
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Walt Disney World
The Walt Disney World Resort, also called Walt Disney World or Disney World, is an entertainment resort complex in Bay Lake and Lake Buena Vista, Florida, United States, near the cities of Orlando and Kissimmee. Opened on October 1, 1971, the resort is operated by Disney Parks, Experiences and Products, a division of The Walt Disney Company. The property covers nearly , of which half has been used. The resort comprises four theme parks (Magic Kingdom, Epcot, Disney's Hollywood Studios, and Disney's Animal Kingdom), two water parks (Disney's Blizzard Beach and Disney's Typhoon Lagoon), 31 themed resort hotels, nine non-Disney hotels, several golf courses, a camping resort, and other entertainment venues, including the outdoor shopping center Disney Springs. On October 1, 2021, Walt Disney World started their celebration of its 50-year anniversary which will last for 18 consecutive months ending on March 31, 2023. Designed to supplement Disneyland in Anaheim, California, which ...
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Spaceship Earth (Disney)
Spaceship Earth is a dark ride attraction at the Epcot theme park at the Walt Disney World in Bay Lake, Florida. The geodesic sphere in which the attraction is housed has served as the symbolic structure of Epcot since the park opened in 1982. The 15-minute ride takes guests on a time machine-themed experience, demonstrating how advancements in human communication have helped to create the future one step at a time. Riding in Omnimover-type vehicles along a track that spirals up and down the geodesic sphere, passengers are taken through scenes depicting important breakthroughs in communication throughout history—from the development of early language through cave paintings, to the use of hieroglyphs, to the invention of the alphabet, to the creation of the printing press, to today's modern communication advancements, including telecommunication and mass communication. Since its 1982 opening, the ride has been updated three times—in 1986, 1994, and 2008. On February 25, 2 ...
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Excavated Dodecahedron
In geometry, the excavated dodecahedron is a star polyhedron that looks like a dodecahedron with concave pentagonal pyramids in place of its faces. Its exterior surface represents the Ef1g1 stellation of the icosahedron. It appears in Magnus Wenninger's book ''Polyhedron Models'' as model 28, the ''third stellation of icosahedron''. Description All 20 vertices and 30 of its 60 edges belong to its dodecahedral hull. The 30 other internal edges are longer and belong to a great stellated dodecahedron. (Each contains one of the 30 edges of the icosahedral core.) There are 20 faces corresponding to the 20 vertices. Each face is a self-intersecting hexagon with alternating long and short edges and 60° angles. The equilateral triangles touching a short edge are part of the face. (The smaller one between the long edges is a face of the icosahedral core.) Faceting of the dodecahedron It has the same external form as a certain facetting of the dodecahedron having 20 self-inter ...
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Spherical Pentakis Dodecahedron
A sphere () is a geometrical object that is a three-dimensional analogue to a two-dimensional circle. A sphere is the set of points that are all at the same distance from a given point in three-dimensional space.. That given point is the centre of the sphere, and is the sphere's radius. The earliest known mentions of spheres appear in the work of the ancient Greek mathematicians. The sphere is a fundamental object in many fields of mathematics. Spheres and nearly-spherical shapes also appear in nature and industry. Bubbles such as soap bubbles take a spherical shape in equilibrium. The Earth is often approximated as a sphere in geography, and the celestial sphere is an important concept in astronomy. Manufactured items including pressure vessels and most curved mirrors and lenses are based on spheres. Spheres roll smoothly in any direction, so most balls used in sports and toys are spherical, as are ball bearings. Basic terminology As mentioned earlier is the sphere's ...
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Icosahedron T01 H3
In geometry, an icosahedron ( or ) is a polyhedron with 20 faces. The name comes and . The plural can be either "icosahedra" () or "icosahedrons". There are infinitely many non- similar shapes of icosahedra, some of them being more symmetrical than others. The best known is the (convex, non- stellated) regular icosahedron—one of the Platonic solids—whose faces are 20 equilateral triangles. Regular icosahedra There are two objects, one convex and one nonconvex, that can both be called regular icosahedra. Each has 30 edges and 20 equilateral triangle faces with five meeting at each of its twelve vertices. Both have icosahedral symmetry. The term "regular icosahedron" generally refers to the convex variety, while the nonconvex form is called a ''great icosahedron''. Convex regular icosahedron The convex regular icosahedron is usually referred to simply as the ''regular icosahedron'', one of the five regular Platonic solids, and is represented by its Schläfli symbol , con ...
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