## Rectified 8-cubes

In eight-dimensional geometry, a rectified 8-cube is a convex uniform 8-polytope, being a rectification of the regular 8-cube. There is a unique 8 degrees of refinements, zero being the 8-cube, and the 7th and the last on the 8-orthoplex. Vertice ...

## Rectified 8-orthoplexes

In eight-dimensional geometry, a rectified 8-orthoplex is a convex form 8-polytope, being a rectification of the regular 8-orthoplex. There is a unique 8 degrees of refinements, the zero being 8-orthoplex, and 7-th and 8-cubic peaks of a rectifie ...

## Rectified 8-simplexes

In eight-dimensional geometry, a rectified 8-simplex is a convex uniform 8-polytope, being a rectification of the regular 8-simplex. There are unique 3 degrees of correction in a regular 8-polyhedron. Vertices of the rectified 8-simplex are locat ...

## Runcinated 8-simplexes

In eight-dimensional geometry, a runcinated 8-simplex is a convex uniform 8-polytope with 3rd order truncations of the regular 8-simplex. There are eleven unique runcinations of the 8-simplex, including permutations, truncation and cantellation. ...

## Stericated 8-simplexes

In eight-dimensional geometry, stericated 8-simplex is a convex uniform 8-polytope with 4th order truncations of the regular 8-simplex. There are 16 unique sterications for the 8-simplex, including permutations, truncation, cantellation, and runc ...

## Truncated 8-cubes

In eight-dimensional geometry, a truncated 8-cube is a convex uniform 8-polytope, being a truncation of the regular 8-cube. There are unique 7 degrees of truncation for the 8-Vertex cubic truncation of the 8-cube are located as pairs on the edge ...

## Truncated 8-orthoplexes

In eight-dimensional geometry, a truncated 8-orthoplex is a convex form 8-polytope, being a truncation of the usual 8-orthoplex. There are 7 truncated 8-orthoplex. Vertices of the truncation 8-orthoplex are located as pairs on the edge of the 8-o ...

## Truncated 8-simplexes

In eight-dimensional geometry, a truncated 8-simplex is a convex uniform 8-polytope, being a truncation of the regular 8-simplex. There are four unique degrees of truncation. Vertices of the truncation of an 8-simplex are arranged in pairs on the ...

## 1 52 honeycomb

In geometry, 1 52 Honeycomb is a uniform tessellation of 8-dimensional Euclidean space. It contains 1 42 51 faces, in birectified 8-simplex vertex figure. This is the final figure in the family 1 K2 polytope.

## 2 51 honeycomb

In 8-dimensional geometry, 2 51 Honeycomb is a space-filling shape tessellation. It consists of 2 41 polytope 8-simplex facets, located in 8-demicube the top of the figure. This is the final figure in the family 2 K1.

## 5 21 honeycomb

In geometry, a 5 21 Honeycomb Uniform tessellation of 8-dimensional Euclidean space. Symbol 5 21 from Coxeter, named for the length of the 3 branches of its Coxeter-Dynkin diagram. This Honeycomb was first studied by Gosset who called it a 9-IC s ...

## 9-cube

In geometry, a 9-cube is a nine-dimensional hypercube with 512 vertices, 2304 edges, 4608 square faces, 5376 cubic cells, 4032 Tesseract 4-faces, 2016 5-cube 5-faces, 672 6-cube 6-faces, 144 7-7 cube-faces, and 18 8-8 cube face. It can be called ...

## 9-demicube

In geometry demienneract or 9-demicube is a uniform 9-polytope, constructed from a 9-cube, with alternated vertices removed. It is part of a multidimensional infinite family of uniform polytopes called demihypercubes. E. L. ELTE identified it in ...

## 9-orthoplex

In geometry, a 9-orthoplex or 9-cross polytope, a regular 9-polytope with 18 vertices, 144 edges, 672 triangle faces, 2016 tetrahedron cells, 4032 5-cells 4-faces, 5376 5-simplex 5-faces, 4608 6-simplex 6-faces, 2304 7-simplex 7-faces, and 512 8- ...

## 9-simplex

In geometry, a 9-simplex is a double regular 9-polytope. It has 10 vertices, 45 edges, 120 triangle faces, 210 tetrahedral cells, 252 5-cell 4-faces, 210 5-simplex 5-faces, 120 6-simplex 6-faces, 45 7-simplex 7-faces, and 10 8-8 simplex face. Its ...

## Rectified 9-cubes

In nine-dimensional geometry, a rectified 9-cube is a convex uniform 9-polytope, being a rectification of the regular 9-cube. There are 9 fixes for the 9-cube. Zero is a 9-cube, and the 8th is a double 9-orthoplex. Vertices of the rectified 9-cub ...

## Rectified 9-orthoplexes

In nine-dimensional geometry, a rectified 9-simplex is a convex uniform 9-polytope, being a rectification of the regular 9-orthoplex. There are 9 patches in the 9-orthoplex. Vertices of the rectified 9-orthoplex are located on the edge-centers of ...

## Rectified 9-simplexes

In nine-dimensional geometry, a rectified 9-simplex is a convex uniform 9-polytope, being a rectification of the regular 9-simplex. These polytopes are part of the family 271 uniform 9-polytopes with 9 of symmetry. There is a 4 degree correction. ...

## Uniform 9-polytope

In nine-dimensional geometry, the nine-dimensional polytope, or 9-polytope is a polytope contained by 8-faces of a polytope. Every 7-polytope ridge is divided exactly into two 8-faces of a polytope. Uniform 9-polytope is vertex-transitive and con ...

## 10-cube

In geometry, a 10-cube is a ten-dimensional hypercube. It has 1024 vertices, 5120 edges, 11520 square faces, 15360 cubic cells, 13440 Tesseract 4-faces, 8064 5-cube 5-faces, 3360 6-cube 6-faces, 960 7-7 cube-faces, 180 8-cube 8-faces, and 20 9-cu ...

## 10-demicube

In geometry, a 10-demicube or demidekeract uniform 10-polytope, constructed from the 10-cube with alternated vertices deleted. It is part of a multidimensional infinite family of uniform polytopes called demihypercubes. E. L. ELTE identified it i ...

## 10-orthoplex

In geometry, a 10-orthoplex or 10-cross polytope, is a regular 10-polytope with 20 vertices, 180 edges, 960 triangle faces, 3360 octahedron cells, 8064 5-cells 4-faces, 13440 5-faces, 15360 6-faces, 11520 7-faces, 5120 8-faces, and 1024 9-persons ...

## 10-simplex

In geometry, a 10-simplex is a dual regular 10-polytope. It has 11 vertices, 55 edges, 165 triangle faces, 330 tetrahedral cells, 462 5-cell 4-faces, 462 5-simplex 5-facade, 330 6-simplex 6-faces, 165 7-simplex 7-facade, 55 8-simplex 8-faces, and ...

## E9 honeycomb

In geometry, E 9 Honeycomb tessellation of uniform polytopes in hyperbolic 9-dimensional space. T 9 {\the style property display the value of {bar \{T}}_{9}}, is also paracompact hyperbolic groups, as either faces or vertices of the shape is not ...

## Rectified 10-cubes

In ten-dimensional geometry, a rectified 10-cube is a convex uniform 10-polytope, being a rectification of the regular 10-cube. There are 10 patches in 10-cube, with zero being the 10-cube itself. Vertices of the rectified 10-cube is located on t ...

## Rectified 10-orthoplexes

In ten-dimensional geometry, a rectified 10-orthoplex is a convex form 10-polytope, being a rectification of the regular 10-orthoplex. There are 10 patches in the 10-orthoplex. Vertices of the rectified 10-orthoplex are located on the edge-center ...

## Rectified 10-simplexes

In ten-dimensional geometry, a rectified 10-simplex is a convex uniform 10-polytope, being a rectification of the regular 10-simplex. These polytopes are part of a family 527 uniform 10-polytopes with 10 of symmetry. There is a unique 5 degrees o ...

## Uniform 10-polytope

In ten-dimensional geometry, a 10-polytope is a 10-dimensional polytope whose boundary consists of a 9-polytope facets, exactly two such facets meeting at each 8-polytope ridge. Uniform 10-polytope is vertex-transitive and constructed from unifor ...

## Biregular graph

In graph-theoretic mathematics, biregular graph or semiregular bipartite graph is a bipartite graph G = {\the style property display the value g=} for which every two vertices on one side of the bipartition to the same extent as each other. If th ...

## Intersection graph

In the mathematical field of graph theory, the intersection graph is a graph that shows the pattern of intersection of a family of sets. Any graph can be represented as the intersection graph, but some important special classes of graphs can be d ...

## Polygon-circle graph

In the mathematical discipline of graph theory, a polygon-circle graph is the intersection graph of a set of convex polygons whose all vertices lie on a common circle. These graphs also called spider graphs. This class of graphs was proposed by M ...

## Barbell graph

In the mathematical discipline of graph theory, graph-N-rod is a special type of undirected graph consisting of two disjoint N-vertex clique with one edge that has an endpoint in each clique.

## Bouquet graph

In mathematics, a bouquet of the graph B M {\the style property display the value that{M}}, for integer parameter M {\the style property display the value of M}, is an undirected graph, vertices and M {\the style property display the value of m} ...

## Cocktail party graph

## Complete bipartite graph

In the mathematical field of graph theory, a complete bipartite graph or biclique is a special kind of bipartite graph where every vertex of the first set is connected with each vertex of the second set. The theory of graphs, usually dated from t ...

## Half graph

In graph theory, branch of mathematics, a graph is a special type of bipartite graph. These graphs are called half schedules because they have approximately half of the edges of the complete bipartite Graph on the same vertices. The name was give ...

## Pancake graph

In the mathematical field of graph theory, the pancake graph p n or N-pancake graph is a graph whose vertices are the permutations of n symbols from 1 to n and its edges from the transitive permutation by prefix reversals. Pancake sorting is the ...

## Shannon multigraph

In the mathematical discipline of graph theory, Shannon is in these works multigraf, named after Claude Shannon by Vizing is a special type of triangle graphs, which are used in edge coloring in particular. A Shannon multigraph is multigraph with ...

## Godel operation

In theory, a mathematical set, a set of gödel operations is a finite set of operations on sets that can be used to construct sets of ordinals. Gödel introduced the initial set of 8 operations gödel 1., 8 under the name of basic operations. Other ...

## Jensen hierarchy

In set theory, a mathematical discipline, the Jensen hierarchy or J-hierarchy is a modification of Godels constructive hierarchy, l, that circumvents certain technical difficulties that exist in the hierarchy a pleasant place. The J-hierarchy is ...

## Minimal model (set theory)

In set theory, branch of mathematics, a minimal model is a minimal standard model of ZFC. A minimal model was presented at the Shepherdson and re Cohen. The existence of a minimal model cannot be proved for ZFC, even assuming that ZFC is consiste ...

## Silver machine

In set theory, silver machines are devices used to bypass the use of fine structure in proofs of statements holding in L. A. they were invented a set theorist Jack silver as a means of proving global square holds in the pleasant place in the Univ ...

## Pythagorean interval

In the theory of musical tuning, the Pythagorean interval is a musical interval with frequency ratio equal to a power of two divided by three, or Vice versa. For example, a perfect fifth with ratio 3 / 2, and Qt with an aspect ratio of 4 / 3 are ...

## List of intervals in 5-limit just intonation

Intervals of 5-limit just intonation ratios involving only powers of 2, 3, and 5. The fundamental intervals are superparticular ratios 2 / 1, 3 / 2 and 5 / 4. That is, the notes of the major triad are in the ratio 1:5 / 4:3 / 2 or 4:5:6. In all t ...

## Five-limit tuning

Five-limit tuning, 5-limit tuning, or 5-Prime limit tuning, is any system of tuning a musical instrument, which receives the frequency of each note with the given frequency multiplied reference products of integer powers 2, 3, or 5, for example 2 ...

## 7-limit tuning

7-limit or septimal settings and intervals are musical instrument settings that have a limit of seven: the largest of the main factors contained in the interval ratios between pitches seven. So, for example, 50:49-this is a 7-limit interval, but ...

## Undecimal minor sixth

## Tridecimal minor third

## Tridecimal neutral seventh

## Encyclopedic dictionary

Translation
 аҧсуа Afaraf Afrikaans Akan Shqip አማርኛ العربية Aragonés Հայերեն অসমীয়া авар мацӀ avesta aymar aru azərbaycan dili bamanankan башҡорт теле euskara Беларуская বাংলা भोजपुरी Bislama bosanski jezik brezhoneg български език ဗမာစာ Català Chamoru нохчийн мотт chiCheŵa 中文 чӑваш чӗлхи Kernewek corsu ᓀᐦᐃᔭᐍᐏᐣ hrvatski česky dansk ދިވެހި Nederlands English Esperanto eesti Eʋegbe føroyskt vosa Vakaviti suomi français Fulfulde Galego ქართული Deutsch Ελληνικά Avañeẽ ગુજરાતી Kreyòl ayisyen Hausa עברית עברית Otjiherero हिन्दी Hiri Motu Magyar Interlingua Bahasa Indonesia Originally called Occidental Gaeilge Asụsụ Igbo Iñupiaq Ido Íslenska Italiano ᐃᓄᒃᑎᑐᑦ 日本語 basa Jawa kalaallisut ಕನ್ನಡ Kanuri कश्मीरी Қазақ тілі ភាសាខ្មែរ Gĩkũyũ Ikinyarwanda кыргыз тили коми кыв KiKongo 한국어 كوردی‎ Kuanyama latine Lëtzebuergesch Luganda Limburgs Lingála ພາສາລາວ lietuvių kalba Luba-Katanga latviešu valoda Gaelg македонски јазик Malagasy fiteny بهاس ملايو‎ മലയാളം Malti te reo Māori मराठी Kajin M̧ajeļ монгол Ekakairũ Naoero Dinékʼehǰí Norsk bokmål isiNdebele नेपाली Owambo Norsk nynorsk Norsk ꆈꌠ꒿ Nuosuhxop isiNdebele Occitan ᐊᓂᔑᓈᐯᒧᐎᓐ ѩзыкъ словѣньскъ Afaan Oromoo ଓଡ଼ିଆ ирон æвзаг ਪੰਜਾਬੀ पाऴि فارسی polski پښتو Português Runa Simi rumantsch grischun kiRundi română русский язык संस्कृतम् sardu سنڌي، سندھی‎ Davvisámegiella gagana faa Samoa yângâ tî sängö српски језик Gàidhlig chiShona සිංහල slovenčina slovenščina Soomaaliga Sesotho español Basa Sunda Kiswahili SiSwati svenska தமிழ் తెలుగు تاجیکی‎ ไทย ትግርኛ བོད་ཡིག Türkmen Wikang Tagalog Setswana faka Tonga Türkçe Xitsonga تاتارچا‎ Twi Reo Tahiti ئۇيغۇرچە‎ українська اردو أۇزبېك‎ Tshivenḓa Tiếng Việt Volapük Walon Cymraeg Wollof Frysk isiXhosa ייִדיש Yorùbá Saɯ cueŋƅ аҧсуа Afaraf Afrikaans Akan Shqip አማርኛ العربية Aragonés Հայերեն অসমীয়া авар мацӀ avesta aymar aru azərbaycan dili bamanankan башҡорт теле euskara Беларуская বাংলা भोजपुरी Bislama bosanski jezik brezhoneg български език ဗမာစာ Català Chamoru нохчийн мотт chiCheŵa 中文 чӑваш чӗлхи Kernewek corsu ᓀᐦᐃᔭᐍᐏᐣ hrvatski česky dansk ދިވެހި Nederlands English Esperanto eesti Eʋegbe føroyskt vosa Vakaviti suomi français Fulfulde Galego ქართული Deutsch Ελληνικά Avañeẽ ગુજરાતી Kreyòl ayisyen Hausa עברית עברית Otjiherero हिन्दी Hiri Motu Magyar Interlingua Bahasa Indonesia Originally called Occidental Gaeilge Asụsụ Igbo Iñupiaq Ido Íslenska Italiano ᐃᓄᒃᑎᑐᑦ 日本語 basa Jawa kalaallisut ಕನ್ನಡ Kanuri कश्मीरी Қазақ тілі ភាសាខ្មែរ Gĩkũyũ Ikinyarwanda кыргыз тили коми кыв KiKongo 한국어 كوردی‎ Kuanyama latine Lëtzebuergesch Luganda Limburgs Lingála ພາສາລາວ lietuvių kalba Luba-Katanga latviešu valoda Gaelg македонски јазик Malagasy fiteny بهاس ملايو‎ മലയാളം Malti te reo Māori मराठी Kajin M̧ajeļ монгол Ekakairũ Naoero Dinékʼehǰí Norsk bokmål isiNdebele नेपाली Owambo Norsk nynorsk Norsk ꆈꌠ꒿ Nuosuhxop isiNdebele Occitan ᐊᓂᔑᓈᐯᒧᐎᓐ ѩзыкъ словѣньскъ Afaan Oromoo ଓଡ଼ିଆ ирон æвзаг ਪੰਜਾਬੀ पाऴि فارسی polski پښتو Português Runa Simi rumantsch grischun kiRundi română русский язык संस्कृतम् sardu سنڌي، سندھی‎ Davvisámegiella gagana faa Samoa yângâ tî sängö српски језик Gàidhlig chiShona සිංහල slovenčina slovenščina Soomaaliga Sesotho español Basa Sunda Kiswahili SiSwati svenska தமிழ் తెలుగు تاجیکی‎ ไทย ትግርኛ བོད་ཡིག Türkmen Wikang Tagalog Setswana faka Tonga Türkçe Xitsonga تاتارچا‎ Twi Reo Tahiti ئۇيغۇرچە‎ українська اردو أۇزبېك‎ Tshivenḓa Tiếng Việt Volapük Walon Cymraeg Wollof Frysk isiXhosa ייִדיש Yorùbá Saɯ cueŋƅ
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