## Runcinated 5-orthoplexes

In five-dimensional geometry, a runcinated 5-orthoplex is a convex shape 5-polytope with 3rd order truncations of the regular 5-orthoplex. There are 8 runcinations of 5-orthoplex with permutations of truncations, and cantellations. Four more simp ...

## Runcinated 5-simplexes

In six-dimensional geometry, a runcinated 5-simplex is a convex uniform 5-polytope with 3rd order truncation of the regular 5-simplex. There are 4 unique runcinations of the 5-simplex with permutations of truncations, and cantellations.

## Steric 5-cubes

In five-dimensional geometry, steric 5-cube or convex uniform 5-polytope. There are 4 unique forms of steric 5-cube. Steric 5-cubes have half the vertices stericated 5-cube.

## Stericated 5-cubes

In five-dimensional geometry, stericated 5-cube is a convex uniform 5-polytope with fourth-order truncation of the regular 5-cube. There are eight degrees sterication for the 5-cube, including permutations runcination, cantellation, and truncatio ...

## Stericated 5-simplexes

In five-dimensional geometry, stericated 5-simplex is a convex uniform 5-polytope with fourth-order truncation of the regular 5-simplex. six unique sterications of the 5-simplex, including permutations of truncation, cantellations, and runcinatio ...

## Truncated 5-cubes

In five-dimensional geometry, a truncated 5-cube is a convex uniform 5-polytope, being a truncation of the regular 5-cube. There are four unique truncations of the 5-cube. Vertices of a truncated 5-cube are located as pairs on the edge of a 5-cub ...

## Truncated 5-orthoplexes

In six-dimensional geometry, a truncated 5-orthoplex is a convex shape 5-polytope, being a truncation of the regular 5-orthoplex. There are 4 unique truncation at the 5-orthoplex. The top of the truncated 5-orthoplex are located as pairs on the e ...

## Truncated 5-simplexes

In five-dimensional geometry, a truncated 5-simplex is a convex uniform 5-polytope, being a truncation of the regular 5-simplex. There are 2 unique degrees of truncation. The top of the truncated 5-simplex are located in pairs on the edge of a 5- ...

## Uniform 5-polytope

In geometry, a uniform 5-polytope, is a five-dimensional Uniform polytope. By definition, a uniform 5-polytope vertices, transitive and constructed from uniform 4-polytope facets. A complete set of convex uniform 5-polytopes have not yet been det ...

## 6-polytope

6-polyhedron is a closed six-dimensional figure with vertices, edges, faces, cells, 3-facade, 4-faces and 5-faces. A vertex is a point where six or more faces. An edge is a segment where four or more faces meet, and the face is a polygon where th ...

## 1 22 polytope

In 6-dimensional geometry, 1 22 polytope is a uniform polytope, constructed from the e-6 group. It was first published in E. L. Eltes 1912 list of semiregular polytopes, named 72. Its Coxeter symbol is 1 22, describing its branching Coxeter-Dynki ...

## 2 21 polytope

In 6-dimensional geometry, the 2 21 polytope is a uniform 6-polytope, constructed within the symmetry of the E 6 group. It was discovered by Thorold Gosset, published in his paper of 1900. He called his 6-IC semiregular figure. It is also called ...

## 6-cube

In geometry, a 6-cube is a six-dimensional hypercube with 64 vertices, 192 edges, 240 square meters of the Facade, 160 cubic cells, 60 Tesseract 4-faces, and 12 5-5 cube-faces. It has Schlafli symbol {4 4.3 }, consisting of 3 5-cubes around each ...

## 6-demicube

In geometry, a 6-demicube or demihexteract uniform 6-polytope, consisting of a 6-cube with alternated vertices deleted. It is part of a multidimensional infinite family of uniform polytopes called demihypercubes. E. L. ELTE identified it in 1912 ...

## 6-orthoplex

In geometry, a 6-orthoplex, or 6-cross polytope, is a regular 6-polytope with 12 vertices, 60 edges, 160 triangle faces, 240 tetrahedron cells, 192 5-cell 4-faces, and 64 5-faces. It has two constructed forms, the first of which regularly with Sc ...

## 6-simplex

In geometry, a 6-simplex is a dual regular 6-polytope. It has 7 vertices, 21 edges, 35 triangle faces, 35 tetrahedral cells, 21 5-cell 4-faces, and 7 5-5 simplex face. Its dihedral angle, cos -1, or approximately 80.41°.

## A6 polytope

In 6-dimensional geometry, there are 35 homogeneous polyhedra with 6 symmetry. There is one self-dual regular form, the 6-Simplex with 7 vertices. Each can be represented as symmetric orthographic projections in Coxeter planes of the 6 Coxeter gr ...

## B6 polytope

In 6-dimensional geometry, there are 64 uniform polyhedra with B 6 symmetry. There are two normal forms, a 6-orthoplex, and a 6-cube with 12 and 64 vertices respectively. 6-demicube is added with half symmetry. They can be visualized as symmetric ...

## Cantellated 6-cubes

In six-dimensional geometry, a cantellated 6-cube is a convex uniform 6-polytope, being a cantellation of the regular 6-cube. There are 8 cantellations for the 6-cube, including truncations. Half of them more simple design with dual 5-orthoplex.

## Cantellated 6-orthoplexes

In six-dimensional geometry, a cantellated 6-orthoplex is a convex shape 6-polytope, being a cantellation of the regular 6-orthoplex. There are 8 cantellation for the 6-orthoplex including truncations. Half of them more simple design with dual 5-cube

## Cantellated 6-simplexes

In six-dimensional geometry, a cantellated 6-simplex is a convex uniform 6-polytope, being a cantellation of the regular 6-simplex. There is a unique 4 degrees of cantellation for the 6-simplex, including truncations.

## Cantic 6-cube

Cartesian coordinates for the 480 vertices cantic 6-cube with center at the origin and edge length 6 √ 2 are coordinate permutations: ±1,±1,±3,±3,±3,±3 with an odd number of plus signs.

## D6 polytope

In 6-dimensional geometry, there are 47 uniform polytopes with D 6 symmetry, 16 are unique, and 31 together with B 6 symmetry. There are two normal forms, a 6-orthoplex, and 6-demicube with 12 and 32 peaks, respectively. They can be visualized as ...

## E6 polytope

In 6-dimensional geometry, a 39 homogeneous polyhedra With E 6 symmetry. The two most simple forms 2 and 21, 22 1 polytopes, composed of 27 and 72 vertices, respectively. They can be visualized as symmetric orthographic projections in Coxeter pla ...

## Pentellated 6-cubes

In six-dimensional geometry, pentellated 6-cube is a convex uniform 6-polytope with 5th order truncation of the regular 6-cube. There are unique 16 degrees pentellations of the 6-cube with permutations of truncation, cantellations, runcinations, ...

## Pentellated 6-orthoplexes

In six-dimensional geometry, pentellated 6-orthoplex is a convex form 6-polytope with 5th order truncation of the regular 6-orthoplex. There are unique 16 degrees pentellations of the 6-orthoplex with permutations of truncation, cantellations, ru ...

## Pentellated 6-simplexes

In six-dimensional geometry, pentellated 6-simplex is a convex uniform 6-polytope with 5th order truncation of the regular 6-simplex. There are unique 10 degrees pentellations of the 6-simplex with permutations of truncation, cantellations, runci ...

## Pentic 6-cubes

Cartesian coordinates of the vertices of a pentic 6-cube with center at the origin of coordinate permutations: ±1,±1,±1,±1,±1,±3 with an odd number of plus signs.

## Rectified 6-cubes

In six-dimensional geometry, a rectified 6-cube is a convex uniform 6-polytope, being a rectification of the regular 6-cube. There are unique 6 degrees of refinements, zero being the 6-cube, and the 6th and last being the 6-orthoplex. Vertices of ...

## Rectified 6-orthoplexes

In six-dimensional geometry, a rectified 6-orthoplex is a convex shape 6-polytope, being a rectification of the regular 6-orthoplex. There are unique 6 degrees of refinements, zero being the 6-orthoplex, and the 6th and last being the 6-cube. Ver ...

## Rectified 6-simplexes

In six-dimensional geometry, a rectified 6-simplex is a convex uniform 6-polytope, being a rectification of the regular 6-simplex. There are three unique degrees of correction, including a zero, a 6-simplex itself. Vertices of the rectified 6-sim ...

## Runcic 6-cubes

Cartesian coordinates of the vertices runcic 6-cube with center at the origin of coordinate permutations: ±1,±1,±1,±3,±3,±3 with an odd number of plus signs.

## Runcinated 6-cubes

In six-dimensional geometry, a runcinated 6-cube is a convex uniform 6-polytope with 3rd order truncation of the regular 6-cube. There are 12 unique runcinations of the 6-cube with permutations of truncations, and cantellations. Half expressed in ...

## Runcinated 6-orthoplexes

In six-dimensional geometry, a runcinated 6-orthplex is a convex uniform 6-polytope with 3rd order truncation of the regular 6-orthoplex. There are 12 unique runcinations of the 6-orthoplex with permutations of truncations, and cantellations. Hal ...

## Runcinated 6-simplexes

In six-dimensional geometry, a runcinated 6-simplex is a convex uniform 6-polytope, constructed as runcination regular 6-simplex. There are 8 unique runcinations of the 6-simplex with permutations of truncations, and cantellations.

## Steric 6-cubes

Cartesian coordinates for the 480 vertices of a steric 6-cube with center at the origin of coordinate permutations: ±1,±1,±1,±1,±1,±3 with an odd number of plus signs.

## Stericated 6-cubes

In six-dimensional geometry, stericated 6-cube is a convex uniform 6-polytope, constructed as sterication regular 6-cube. There are 8 unique sterications for the 6-cube with permutations of truncation, cantellations, and runcinations.

## Stericated 6-orthoplexes

In six-dimensional geometry, stericated 6-orthoplex is a convex shape 6-polytope, constructed as sterication regular 6-orthoplex. There are 16 unique sterications for the 6-orthoplex with permutations of truncation, cantellations, and runcination ...

## Stericated 6-simplexes

In six-dimensional geometry, stericated 6-simplex is a convex uniform 6-polytope with 4th order truncation of the regular 6-simplex. There are 8 unique sterications for the 6-simplex with permutations of truncation, cantellations, and runcinations.

## Truncated 6-cubes

In six-dimensional geometry, a truncated 6-cube is a convex uniform 6-polytope, being a truncation of the regular 6-cube. There are 5 truncation 6-cubic Vertices of the truncated 6-cube are located as pairs on the edge of the 6-cubic vertices of ...

## Truncated 6-orthoplexes

In six-dimensional geometry, a truncated 6-orthoplex is a convex shape 6-polytope, being a truncation of the regular 6-orthoplex. There are 5 degrees of truncation for the 6-orthoplex. Vertices of the truncated 6-orthoplex are located as pairs on ...

## Truncated 6-simplexes

In six-dimensional geometry, a truncated 6-simplex is a convex uniform 6-polytope, being a truncation of the regular 6-simplex. There are unique 3 degrees of truncation. The vertices of the truncated 6-simplex are located in pairs on the edge of ...

## Uniform 6-polytope

In six-dimensional geometry, a uniform polypeton is a six-dimensional uniform polytope. Single polypeton is vertex-transitive, and all the facets are uniform 5-polytopes. A complete set of convex uniform polypeta not yet determined, but most of t ...

## 1 32 polytope

In 7-dimensional geometry, 1 32 is a uniform polytope, constructed from the E7 group. Its Coxeter symbol is a 1 32, describing its branching Coxeter-Dynkin diagram, with a single ring on the end of one of the 1-node sequences. Rectified 1 32 is c ...

## 2 22 honeycomb

In geometry, 22 Honeycomb tessellation in a Single six-dimensional Euclidean space. It can be represented by the Schlafli symbol {3.3.3 2.2 }. It is constructed from 2 faces 21 and 22 of Fig. 1 the top, with 54 2 21 polytopes around every vertex. ...

## 2 31 polytope

In 7-dimensional geometry, 2 31 a uniform polytope, constructed from the E7 group. Its Coxeter symbol is 2 31, describing its branching Coxeter-Dynkin diagram, with a single ring on the end of a 2-nodes. Rectified 2 31 based on the points in the ...

## 3 21 polytope

In 7-dimensional geometry, 3 21 polytope is a uniform 7-polytope, constructed within the symmetry e 7 group. It was discovered by Thorold Gosset, published in his paper of 1900. He called it an 7-IC semi-regular figure. Its Coxeter symbol is 3 21 ...

## 7-cube

In geometry, a 7-cube is a seven-dimensional hypercube with 128 vertices, edges, 448, 672 square faces, 560 cubic cells, 280 Tesseract 4-faces, 84 penteract 5-faces, and 14 hexeract 6-faces. It can be called the Schlafli symbol {4.3 of 5 }, consi ...

## 7-demicube

In geometry demihepteract or 7-demicube is a uniform 7-polytope, constructed from the 7-hypercube with alternated vertices deleted. It is part of a multidimensional infinite family of uniform polytopes called demihypercubes. E. L. ELTE identified ...

## 7-orthoplex

In geometry, a 7-orthoplex, or 7-cross polytope, is a regular 7-polytope with 14 vertices, 84 edges, 280 triangle faces, 560 tetrahedron cells, 672 5-cells 4-faces, 448 5-faces, and 128 6-faces. It has two constructed forms, the first of which re ...

## 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