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Rectified Truncated Octahedron
In geometry, the rectified truncated octahedron is a convex polyhedron, constructed as a Rectification (geometry), rectified, truncated octahedron. It has 38 faces: 24 isosceles triangles, 6 squares, and 8 hexagons. Topologically, the squares corresponding to the octahedron's vertices are always regular, although the hexagons, while having equal edge lengths, do not have the same edge lengths with the squares, having different but alternating angles, causing the triangles to be Isosceles triangle, isosceles instead. Related polyhedra The ''rectified truncated octahedron'' can be seen in sequence of rectification (geometry), rectification and truncation (geometry), truncation operations from the octahedron. Further truncation, and alternation (geometry), alternation creates two more polyhedra: See also * Rectified truncated tetrahedron * Rectified truncated cube * Rectified truncated dodecahedron * Rectified truncated icosahedron References * Harold Scott MacDonald Coxeter, ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Isosceles Triangle
In geometry, an isosceles triangle () is a triangle that has two sides of equal length. Sometimes it is specified as having ''exactly'' two sides of equal length, and sometimes as having ''at least'' two sides of equal length, the latter version thus including the equilateral triangle as a special case. Examples of isosceles triangles include the isosceles right triangle, the golden triangle, and the faces of bipyramids and certain Catalan solids. The mathematical study of isosceles triangles dates back to ancient Egyptian mathematics and Babylonian mathematics. Isosceles triangles have been used as decoration from even earlier times, and appear frequently in architecture and design, for instance in the pediments and gables of buildings. The two equal sides are called the legs and the third side is called the base of the triangle. The other dimensions of the triangle, such as its height, area, and perimeter, can be calculated by simple formulas from the lengths of the l ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Uniform Polyhedron-43-t12
A uniform is a variety of clothing worn by members of an organization while participating in that organization's activity. Modern uniforms are most often worn by armed forces and paramilitary organizations such as police, emergency services, security guards, in some workplaces and schools and by inmates in prisons. In some countries, some other officials also wear uniforms in their duties; such is the case of the Commissioned Corps of the United States Public Health Service or the French prefects. For some organizations, such as police, it may be illegal for non members to wear the uniform. Etymology From the Latin ''unus'', one, and ''forma'', form. Corporate and work uniforms Workers sometimes wear uniforms or corporate clothing of one nature or another. Workers required to wear a uniform may include retail workers, bank and post-office workers, public-security and health-care workers, blue-collar employees, personal trainers in health clubs, instructors in summer cam ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
John Horton Conway
John Horton Conway (26 December 1937 – 11 April 2020) was an English mathematician active in the theory of finite groups, knot theory, number theory, combinatorial game theory and coding theory. He also made contributions to many branches of recreational mathematics, most notably the invention of the cellular automaton called the Game of Life. Born and raised in Liverpool, Conway spent the first half of his career at the University of Cambridge before moving to the United States, where he held the John von Neumann Professorship at Princeton University for the rest of his career. On 11 April 2020, at age 82, he died of complications from COVID-19. Early life and education Conway was born on 26 December 1937 in Liverpool, the son of Cyril Horton Conway and Agnes Boyce. He became interested in mathematics at a very early age. By the time he was 11, his ambition was to become a mathematician. After leaving sixth form, he studied mathematics at Gonville and Caius College ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Regular Polytopes (book)
''Regular Polytopes'' is a geometry book on regular polytopes written by Harold Scott MacDonald Coxeter. It was originally published by Methuen in 1947 and by Pitman Publishing in 1948, with a second edition published by Macmillan in 1963 and a third edition by Dover Publications in 1973. The Basic Library List Committee of the Mathematical Association of America has recommended that it be included in undergraduate mathematics libraries. Overview The main topics of the book are the Platonic solids (regular convex polyhedra), related polyhedra, and their higher-dimensional generalizations. It has 14 chapters, along with multiple appendices, providing a more complete treatment of the subject than any earlier work, and incorporating material from 18 of Coxeter's own previous papers. It includes many figures (both photographs of models by Paul Donchian and drawings), tables of numerical values, and historical remarks on the subject. The first chapter discusses regular polygons, regu ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Harold Scott MacDonald Coxeter
Harold Scott MacDonald "Donald" Coxeter, (9 February 1907 – 31 March 2003) was a British and later also Canadian geometer. He is regarded as one of the greatest geometers of the 20th century. Biography Coxeter was born in Kensington to Harold Samuel Coxeter and Lucy (). His father had taken over the family business of Coxeter & Son, manufacturers of surgical instruments and compressed gases (including a mechanism for anaesthetising surgical patients with nitrous oxide), but was able to retire early and focus on sculpting and baritone singing; Lucy Coxeter was a portrait and landscape painter who had attended the Royal Academy of Arts. A maternal cousin was the architect Sir Giles Gilbert Scott. In his youth, Coxeter composed music and was an accomplished pianist at the age of 10. Roberts, Siobhan, ''King of Infinite Space: Donald Coxeter, The Man Who Saved Geometry'', Walker & Company, 2006, He felt that mathematics and music were intimately related, outlining his ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rectified Truncated Icosahedron
In geometry, the rectified truncated icosahedron is a convex polyhedron. It has 92 faces: 60 isosceles triangles, 12 regular pentagons, and 20 regular hexagons. It is constructed as a rectified, truncated icosahedron, rectification truncating vertices down to mid-edges. As a near-miss Johnson solid, under icosahedral symmetry, the pentagons are always regular, although the hexagons, while having equal edge lengths, do not have the same edge lengths with the pentagons, having slightly different but alternating angles, causing the triangles to be isosceles instead. The shape is a symmetrohedron with notation ''I(1,2,*, '' Images Dual By Conway polyhedron notation, the dual polyhedron can be called a ''joined truncated icosahedron'', jtI, but it is topologically equivalent to the rhombic enneacontahedron with all rhombic faces. Related polyhedra The ''rectified truncated icosahedron'' can be seen in sequence of rectification and truncation operations from the truncated ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rectified Truncated Dodecahedron
In geometry, the rectified truncated dodecahedron is a convex polyhedron, constructed as a rectified, truncated dodecahedron. It has 92 faces: 20 equilateral triangles, 60 isosceles triangles, and 12 decagons. Topologically, the triangles corresponding to the dodecahedrons's vertices are always equilateral, although the decagons, while having equal edge lengths, do not have the same edge lengths with the equilateral triangles, having different but alternating angles, causing the other triangles to be isosceles instead. Related polyhedra The ''rectified truncated dodecahedron'' can be seen in sequence of rectification and truncation operations from the dodecahedron. Further truncation, and alternation operations creates two more polyhedra: See also * Rectified truncated tetrahedron * Rectified truncated octahedron * Rectified truncated cube * Rectified truncated icosahedron References * Coxeter '' Regular Polytopes'', Third edition, (1973), Dover edition, (pp.& ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rectified Truncated Cube
In geometry, the rectified truncated cube is a polyhedron, constructed as a rectified, truncated cube. It has 38 faces: 8 equilateral triangles, 24 isosceles triangles, and 6 octagons. Topologically, the triangles corresponding to the cube's vertices are always equilateral, although the octagons, while having equal edge lengths, do not have the same edge lengths with the equilateral triangles, having different but alternating angles, causing the other triangles to be isosceles instead. Related polyhedra The ''rectified truncated cube'' can be seen in sequence of rectification and truncation operations from the cube. Further truncation, and alternation operations creates two more polyhedra: See also * Rectified truncated tetrahedron * Rectified truncated octahedron * Rectified truncated dodecahedron * Rectified truncated icosahedron References * Coxeter '' Regular Polytopes'', Third edition, (1973), Dover edition, (pp. 145–154 Chapter 8: Truncation) * John H ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Rectified Truncated Tetrahedron
In geometry, the rectified truncated tetrahedron is a polyhedron, constructed as a Rectification (geometry), rectified, truncated tetrahedron. It has 20 faces: 4 equilateral triangles, 12 isosceles triangles, and 4 regular hexagons. Topologically, the triangles corresponding to the tetrahedron's vertices are always equilateral, although the hexagons, while having equal edge lengths, do not have the same edge lengths with the equilateral triangles, having different but alternating angles, causing the other triangles to be Isosceles triangle, isosceles instead. Related polyhedra The ''rectified truncated tetrahedron'' can be seen in sequence of rectification (geometry), rectification and truncation (geometry), truncation operations from the tetrahedron. Further truncation, and alternation (geometry), alternation operations creates two more polyhedra: See also * Rectified truncated cube * Rectified truncated octahedron * Rectified truncated dodecahedron * Rectified truncated ic ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Gyro Truncated Octahedron
Gyro may refer to: Science and technology * GYRO, a computer program for tokamak plasma simulation * Gyro Motor Company, an American aircraft engine manufacturer * ''Gyrodactylus salaris'', a parasite in salmon * Gyroscope, an orientation-stabilizing device * Autogyro, a type of rotary-wing aircraft * Honda Gyro, a family of tilting three wheel vehicles * The casually used brand name of a detangler mechanism, part of a stunt-adapted BMX bicycle Fictional characters * Gyro Gearloose, a comic book character from Disney's ''Duck universe'' * Gyro Zeppeli, one of the main characters of the manga ''Steel Ball Run'' Other uses * ''Gyro'' (magazine), student magazine of Otago Polytechnic, New Zealand * Gyro International, a social fraternal organization * Gyroball, a Japanese baseball pitch * Gyro, or gyros, a greek pita wrap or the rotisserie cooked meat it contains * Johnny Gyro, American martial arts instructor and competitive karate fighter See also * * Giro (disambiguatio ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Meta Truncated Octahedron
Meta (from the Greek μετά, ''meta'', meaning "after" or "beyond") is a prefix meaning "more comprehensive" or "transcending". In modern nomenclature, ''meta''- can also serve as a prefix meaning self-referential, as a field of study or endeavor (metatheory: theory about a theory, metamathematics: mathematical theories about mathematics, meta-axiomatics or meta-axiomaticity: axioms about axiomatic systems, metahumor: joking about the ways humor is expressed, etc.). Original Greek meaning In Greek, the prefix ''meta-'' is generally less esoteric than in English; Greek ''meta-'' is equivalent to the Latin words ''post-'' or ''ad-''. The use of the prefix in this sense occurs occasionally in scientific English terms derived from Greek. For example: the term ''Metatheria'' (the name for the clade of marsupial mammals) uses the prefix ''meta-'' in the sense that the ''Metatheria'' occur on the tree of life adjacent to the ''Theria'' (the placental mammals). Epistemology In epi ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
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