Топ-100 ★ Free online encyclopedia. Did you know? page 303

★ Free online encyclopedia. Did you know? page 303




                                               

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 ...

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