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POLYTOPE MODEL

  • Polytope model
  • Framework for computer program optimization

    The polyhedral model (also called the polytope method) is a mathematical framework for programs that perform large numbers of operations -- too large

    Polytope model

    Polytope_model

  • Polytope
  • Geometric object with flat sides

    In elementary geometry, a polytope is a geometric object with flat sides (faces). Polytopes are the generalization of three-dimensional polyhedra to any

    Polytope

    Polytope

  • Regular polytope
  • Polytope with highest degree of symmetry

    In mathematics, a regular polytope is a polytope whose symmetry group acts transitively on its flags, thus giving it the highest degree of symmetry. In

    Regular polytope

    Regular polytope

    Regular_polytope

  • 4-polytope
  • Four-dimensional geometric object with flat sides

    In geometry, a 4-polytope (sometimes also called a polychoron, polycell, or polyhedroid) is a four-dimensional polytope. It is a connected and closed figure

    4-polytope

    4-polytope

    4-polytope

  • Polyhedron
  • Flat-sided three-dimensional shape

    listing polyhedral books regarding the modeling, studies, and history of polyhedra Monostatic polytope, a polytope standing on one face only Gauss–Bonnet

    Polyhedron

    Polyhedron

    Polyhedron

  • 4 21 polytope
  • Polytope in 8-dimensional geometry

    In 8-dimensional geometry, the 421 is a semiregular uniform 8-polytope, constructed within the symmetry of the E8 group. It was discovered by Thorold Gosset

    4 21 polytope

    4 21 polytope

    4_21_polytope

  • Convex polytope
  • Convex hull of a finite set of points in a Euclidean space

    A convex polytope is a special case of a polytope, having the additional property that it is also a convex set contained in the n {\displaystyle n} -dimensional

    Convex polytope

    Convex polytope

    Convex_polytope

  • Frameworks supporting the polyhedral model
  • Use of the polyhedral model (also called the polytope model) within a compiler requires software to represent the objects of this framework (sets of integer-valued

    Frameworks supporting the polyhedral model

    Frameworks_supporting_the_polyhedral_model

  • Loop optimization
  • Increasing execution speed and reducing the overheads associated with loops

    research as of the time of this writing (2010). Loop nest optimization Polytope model Scalable parallelism Scalable locality In the book Reasoning About Program

    Loop optimization

    Loop_optimization

  • List of regular polytopes
  • regular polytopes in Euclidean, spherical and hyperbolic spaces. This table shows a summary of regular polytope counts by rank. There is only one polytope of

    List of regular polytopes

    List of regular polytopes

    List_of_regular_polytopes

  • Grand 600-cell
  • Regular star 4-polytope with 600 faces

    polytetrahedron is a regular star 4-polytope with Schläfli symbol {3, 3, 5/2}. It is one of 10 regular Schläfli-Hess polytopes. It is the only one with 600 cells

    Grand 600-cell

    Grand 600-cell

    Grand_600-cell

  • Prism (geometry)
  • Solid with 2 parallel n-gonal bases connected by n parallelograms

    n-polytope elements are doubled from the (n − 1)-polytope elements and then creating new elements from the next lower element. Take an n-polytope with

    Prism (geometry)

    Prism (geometry)

    Prism_(geometry)

  • Automatic parallelization
  • Method of improving computer program speed

    programs. Loop nest optimization Parallelization contract Polytope model also known as Polyhedral model Scalable parallelism Binary Modular Dataflow Machine

    Automatic parallelization

    Automatic_parallelization

  • Uniform 4-polytope
  • Class of 4-dimensional polytopes

    In geometry, a uniform 4-polytope (or uniform polychoron) is a 4-dimensional polytope which is vertex-transitive and whose cells are uniform polyhedra

    Uniform 4-polytope

    Uniform 4-polytope

    Uniform_4-polytope

  • Simplex
  • Multi-dimensional generalization of triangle

    dimensions. The simplex is so-named because it represents the simplest possible polytope in any given dimension. For example, a 0-dimensional simplex is a point

    Simplex

    Simplex

    Simplex

  • Edge (geometry)
  • Line segment joining two adjacent vertices in a polygon or polytope

    polytope. In a polygon, an edge is a line segment on the boundary, and is often called a polygon side. In a polyhedron or more generally a polytope,

    Edge (geometry)

    Edge_(geometry)

  • Linear programming
  • Method to solve optimization problems

    affine (linear) function defined on this polytope. A linear programming algorithm finds a point in the polytope where this function has the largest (or

    Linear programming

    Linear programming

    Linear_programming

  • Rectified 5-cell
  • Uniform polychoron

    In four-dimensional geometry, the rectified 5-cell is a uniform 4-polytope composed of 5 regular tetrahedral and 5 regular octahedral cells. Each edge

    Rectified 5-cell

    Rectified 5-cell

    Rectified_5-cell

  • Stellation
  • Extending the elements of a polytope to form a new figure

    in two dimensions, a polyhedron in three dimensions, or, in general, a polytope in n dimensions to form a new figure. Starting with an original figure

    Stellation

    Stellation

    Stellation

  • Spatial architecture
  • Array of processing elements specialized for parallelizable workloads

    processor Loop nest optimization Manycore processor Neural processing unit Polytope model Symmetric multiprocessing Systolic array Vision processing unit Chen

    Spatial architecture

    Spatial architecture

    Spatial_architecture

  • Runcinated 120-cells
  • a runcinated 120-cell (or runcinated 600-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular 120-cell.

    Runcinated 120-cells

    Runcinated 120-cells

    Runcinated_120-cells

  • Dual polyhedron
  • Polyhedron associated with another by swapping vertices for faces

    of a polytope's dual will be the topological duals of the polytope's vertex figures. For the polar reciprocals of the regular and uniform polytopes, the

    Dual polyhedron

    Dual polyhedron

    Dual_polyhedron

  • Isogonal figure
  • Polytope or tiling whose vertices are identical

    In geometry, a polytope (e.g. a polygon or polyhedron) or a tiling is isogonal or vertex-transitive if all its vertices are equivalent under the symmetries

    Isogonal figure

    Isogonal_figure

  • Polygon
  • Plane figure bounded by line segments

    single plane. A polygon is a 2-dimensional example of the more general polytope in any number of dimensions. There are many more generalizations of polygons

    Polygon

    Polygon

  • Rectified 600-cell
  • the rectified 600-cell or rectified hexacosichoron is a convex uniform 4-polytope composed of 600 regular octahedra and 120 icosahedra cells. Each edge has

    Rectified 600-cell

    Rectified 600-cell

    Rectified_600-cell

  • Regular icosahedron
  • Solid with twenty equal triangular faces

    background in the comparison mensuration. It is analogous to a four-dimensional polytope, the 600-cell. Regular icosahedra can be found in nature; a well-known

    Regular icosahedron

    Regular icosahedron

    Regular_icosahedron

  • Cantellated 120-cell
  • 4D geometry item

    four-dimensional geometry, a cantellated 120-cell is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular 120-cell

    Cantellated 120-cell

    Cantellated 120-cell

    Cantellated_120-cell

  • Tetrahedron
  • Polyhedron with four faces

    tetrahedron of the cube is an example of a Heronian tetrahedron. Every regular polytope, including the regular tetrahedron, has its characteristic orthoscheme

    Tetrahedron

    Tetrahedron

    Tetrahedron

  • Regular octahedron
  • Solid with eight equal triangular faces

    segments. More generally, every cross-polytope and its dual, hypercube, in any higher-dimensional space are Hanner polytope. The polyhedral compounds, in which

    Regular octahedron

    Regular octahedron

    Regular_octahedron

  • Rectified 24-cell
  • 24-cell or rectified icositetrachoron is a uniform 4-dimensional polytope (or uniform 4-polytope), which is bounded by 48 cells: 24 cubes, and 24 cuboctahedra

    Rectified 24-cell

    Rectified 24-cell

    Rectified_24-cell

  • Five-dimensional space
  • Geometric space with five dimensions

    higher dimensions, including five-dimensional space. List of regular 5-polytopes — regular geometric shapes that exist in five-dimensional space. Four-dimensional

    Five-dimensional space

    Five-dimensional space

    Five-dimensional_space

  • Polytope compound
  • 3D shape made of polyhedra sharing a common center

    regular polytopes. Coxeter lists a few of these in his book Regular Polytopes. McMullen added six in his paper New Regular Compounds of 4-Polytopes. Self-duals:

    Polytope compound

    Polytope_compound

  • Net (polyhedron)
  • Edge-joined polygons which fold into a polyhedron

    "Unfolding", MathWorld Regular 4d Polytope Foldouts Editable Printable Polyhedral Nets with an Interactive 3D View Paper Models of Polyhedra Unfolder for Blender

    Net (polyhedron)

    Net (polyhedron)

    Net_(polyhedron)

  • Associahedron
  • Convex polytope of parenthesizations

    In mathematics, an associahedron Kn is an (n − 2)-dimensional convex polytope in which each vertex corresponds to a way of correctly inserting opening

    Associahedron

    Associahedron

    Associahedron

  • Great grand stellated 120-cell
  • Regular Schläfli-Hess 4-polytope with 600 vertices

    polydodecahedron is a regular star 4-polytope with Schläfli symbol {5/2,3,3}, one of 10 regular Schläfli-Hess 4-polytopes. It is unique among the 10 for having

    Great grand stellated 120-cell

    Great grand stellated 120-cell

    Great_grand_stellated_120-cell

  • Plum pudding model
  • First modern model of the atom

    S2CID 250764497. Roth, J. (2007-10-24). "Description of a highly symmetric polytope observed in Thomson's problem of charges on a hypersphere". Physical Review

    Plum pudding model

    Plum pudding model

    Plum_pudding_model

  • Square
  • Shape with four equal sides and angles

    truncated square is an octagon. The square belongs to a family of regular polytopes that includes the cube in three dimensions and the hypercubes in higher

    Square

    Square

    Square

  • Model predictive control
  • Advanced method of process control

    of all the regions. Every region turns out to geometrically be a convex polytope for linear MPC, commonly parameterized by coefficients for its faces, requiring

    Model predictive control

    Model_predictive_control

  • 120-cell
  • Four-dimensional analog of the dodecahedron

    In geometry, the 120-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {5,3,3}. It is also called

    120-cell

    120-cell

    120-cell

  • 7-simplex
  • Type of 7-polytope

    In 7-dimensional geometry, a 7-simplex is a self-dual regular 7-polytope. It has 8 vertices, 28 edges, 56 triangle faces, 70 tetrahedral cells, 56 5-cell

    7-simplex

    7-simplex

    7-simplex

  • Vertex figure
  • Shape made by slicing off a corner of a polytope

    broadly speaking, is the figure exposed when a corner of a general n-polytope is sliced off. Take some corner or vertex of a polyhedron. Mark a point

    Vertex figure

    Vertex figure

    Vertex_figure

  • Iannis Xenakis
  • Greek-French composer, architect and engineer (1922–2001)

    Xenakis's UPIC system; and the massive multimedia performances Xenakis called polytopes, that were a summa of his interests and skills. Among the numerous theoretical

    Iannis Xenakis

    Iannis Xenakis

    Iannis_Xenakis

  • Apeirogon
  • Polygon with an infinite number of sides

    polytope is a partially ordered set P (whose elements are called faces) with properties modeling those of the inclusions of faces of convex polytopes

    Apeirogon

    Apeirogon

    Apeirogon

  • 600-cell
  • Four-dimensional analog of the icosahedron

    In geometry, the 600-cell is the convex regular 4-polytope (four-dimensional analogue of a Platonic solid) with Schläfli symbol {3,3,5}. It is also known

    600-cell

    600-cell

    600-cell

  • Six-dimensional space
  • Geometric space with six dimensions

    simpler ones that model some aspect of the environment. Of particular interest is six-dimensional Euclidean space, in which 6-polytopes and the 5-sphere

    Six-dimensional space

    Six-dimensional_space

  • Cube
  • Solid with six equal square faces

    quadrilateral faces are squares. It is a three-dimensional hypercube, a family of polytopes that also includes the two-dimensional square and four-dimensional tesseract

    Cube

    Cube

    Cube

  • Unique sink orientation
  • is an orientation of the edges of a polytope such that, in every face of the polytope (including the whole polytope as one of the faces), there is exactly

    Unique sink orientation

    Unique_sink_orientation

  • Snub 24-cell
  • geometry, the snub 24-cell or snub disicositetrachoron is a convex uniform 4-polytope composed of 120 regular tetrahedral and 24 icosahedral cells. Five tetrahedra

    Snub 24-cell

    Snub 24-cell

    Snub_24-cell

  • Regular polyhedron
  • Polyhedron with regular congruent polygons as faces

    face, an edge of the face, a vertex of the edge, and the null polytope. An abstract polytope is said to be regular if its combinatorial symmetries are transitive

    Regular polyhedron

    Regular_polyhedron

  • Dodecahedron
  • Polyhedron with 12 faces

    No. 479 (Jul., 1993), pp. 220–226 [1] Stellation of Pyritohedron VRML models and animations of Pyritohedron and its stellations Klitzing, Richard. "3D

    Dodecahedron

    Dodecahedron

  • Region (model checking)
  • In model checking, a field of computer science, a region is a convex polytope in R d {\displaystyle \mathbb {R} ^{d}} for some dimension d {\displaystyle

    Region (model checking)

    Region_(model_checking)

  • Permutohedron
  • Polyhedron whose vertices represent permutations

    permutohedron (also spelled permutahedron) of order n is an (n − 1)-dimensional polytope embedded in an n-dimensional space. Its vertex coordinates (labels) are

    Permutohedron

    Permutohedron

    Permutohedron

  • Tetrahedral prism
  • Uniform 4-polytope

    In geometry, a tetrahedral prism is a convex uniform 4-polytope. This 4-polytope has 6 polyhedral cells: 2 tetrahedra connected by 4 triangular prisms

    Tetrahedral prism

    Tetrahedral prism

    Tetrahedral_prism

  • Schlegel diagram
  • Representation of 3D and 4D polytopes

    icosahedron edit In geometry, a Schlegel diagram is a projection of a polytope from R d {\textstyle \mathbb {R} ^{d}} into R d − 1 {\textstyle \mathbb

    Schlegel diagram

    Schlegel diagram

    Schlegel_diagram

  • Regular Polytopes (book)
  • Geometry 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

    Regular Polytopes (book)

    Regular_Polytopes_(book)

  • Octahedron
  • Polyhedron with eight triangular faces

    the three-dimensional case of an infinite family of regular polytopes, the cross polytopes. Although it does not tile space by itself, it can tile space

    Octahedron

    Octahedron

  • Truncated 5-cell
  • In geometry, a truncated 5-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 5-cell. There are two

    Truncated 5-cell

    Truncated 5-cell

    Truncated_5-cell

  • Truncated 24-cells
  • In geometry, a truncated 24-cell is a uniform 4-polytope (4-dimensional uniform polytope) formed as the truncation of the regular 24-cell. There are two

    Truncated 24-cells

    Truncated 24-cells

    Truncated_24-cells

  • Truncated tesseract
  • Type of tesseract

    In geometry, a truncated tesseract is a uniform 4-polytope formed as the truncation of the regular tesseract. There are three truncations, including a

    Truncated tesseract

    Truncated_tesseract

  • Density (polytope)
  • Number of windings of a polytope around its center of symmetry

    ray from the center to infinity, passing only through the facets of the polytope and not through any lower dimensional features, and counting how many facets

    Density (polytope)

    Density (polytope)

    Density_(polytope)

  • Pentagon
  • Shape with five sides

    Richard Fitzpatrick. Lulu.com. p. 119. ISBN 978-0-615-17984-1. Mathematical Models by H. Martyn Cundy and A.P. Rollett, second edition, 1961 (Oxford University

    Pentagon

    Pentagon

    Pentagon

  • Amplituhedron
  • Geometric structure used in certain particle interactions

    algebraic geometry analogous to a convex polytope, that generalizes the idea of a simplex in projective space. A polytope is the n-dimensional analogue of a

    Amplituhedron

    Amplituhedron

    Amplituhedron

  • Cantellated tesseract
  • Convex uniform 4-polytope

    four-dimensional geometry, a cantellated tesseract is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular tesseract

    Cantellated tesseract

    Cantellated tesseract

    Cantellated_tesseract

  • Octahedral prism
  • Geometric prism

    In geometry, an octahedral prism is a convex uniform 4-polytope. This 4-polytope has 10 polyhedral cells: 2 octahedra connected by 8 triangular prisms

    Octahedral prism

    Octahedral prism

    Octahedral_prism

  • Small stellated 120-cell
  • Complicated polygon

    polydodecahedron is a regular star 4-polytope with Schläfli symbol {5/2,5,3}. It is one of 10 regular Schläfli-Hess polytopes. It has the same edge arrangement

    Small stellated 120-cell

    Small stellated 120-cell

    Small_stellated_120-cell

  • Four-dimensional space
  • Geometric space with four dimensions

    both synthetic and algebraic methods. He discovered all of the regular polytopes (higher-dimensional analogues of the Platonic solids) that exist in Euclidean

    Four-dimensional space

    Four-dimensional space

    Four-dimensional_space

  • Three-dimensional space
  • Geometric model of the physical space

    open subset of 3-D space. In three dimensions, there are nine regular polytopes: the five convex Platonic solids and the four nonconvex Kepler-Poinsot

    Three-dimensional space

    Three-dimensional space

    Three-dimensional_space

  • Square pyramid
  • Pyramid with a square base

    construction of other polyhedra and as the cell of a four-dimensional polytope called cubic pyramid. Square pyramidal number is a natural number that

    Square pyramid

    Square pyramid

    Square_pyramid

  • Cantellated 24-cells
  • four-dimensional geometry, a cantellated 24-cell is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation) of the regular 24-cell.

    Cantellated 24-cells

    Cantellated 24-cells

    Cantellated_24-cells

  • Runcinated 5-cell
  • Four-dimensional geometrical object

    In four-dimensional geometry, a runcinated 5-cell is a convex uniform 4-polytope, being a runcination (a 3rd order truncation, up to face-planing) of the

    Runcinated 5-cell

    Runcinated 5-cell

    Runcinated_5-cell

  • Hexagon
  • Shape with six sides

    for these higher dimensional regular, uniform and dual polyhedra and polytopes, shown in these skew orthogonal projections: A principal diagonal of a

    Hexagon

    Hexagon

    Hexagon

  • Compound of five tetrahedra
  • Compound polyhedron

    vertices of all the other fifteen regular polytopes in four dimensions." Wenninger, Magnus (1974). Polyhedron Models. Cambridge University Press. ISBN 0-521-09859-9

    Compound of five tetrahedra

    Compound of five tetrahedra

    Compound_of_five_tetrahedra

  • E8
  • Topics referred to by the same term

    structure or topological triangulation E8 polytope, alternate name for the 421 semiregular (uniform) polytope Elementary abelian group of order 8 E8 Theory

    E8

    E8

  • Rectified 120-cell
  • is a uniform 4-polytope formed as the rectification of the regular 120-cell. E. L. Elte identified it in 1912 as a semiregular polytope, labeling it as

    Rectified 120-cell

    Rectified 120-cell

    Rectified_120-cell

  • Runcinated tesseracts
  • a runcinated tesseract (or runcinated 16-cell) is a convex uniform 4-polytope, being a runcination (a 3rd order truncation) of the regular tesseract

    Runcinated tesseracts

    Runcinated tesseracts

    Runcinated_tesseracts

  • Simplex (disambiguation)
  • Topics referred to by the same term

    geometry meaning an n-dimensional analogue of a triangle Simplicial polytope, a polytope with all simplex facets Simplicial complex, a collection of simplicies

    Simplex (disambiguation)

    Simplex_(disambiguation)

  • Monostatic polytope
  • In geometry, a monostatic polytope or unistable polyhedron is a d {\displaystyle d} -polytope which "can stand on only one face". They were described

    Monostatic polytope

    Monostatic polytope

    Monostatic_polytope

  • Grand antiprism
  • Uniform 4-polytope bounded by 320 cells

    antiprism or pentagonal double antiprismoid is a uniform 4-polytope (4-dimensional uniform polytope) bounded by 320 cells: 20 pentagonal antiprisms, and 300

    Grand antiprism

    Grand antiprism

    Grand_antiprism

  • Great icosahedron
  • Kepler-Poinsot polyhedron with 20 faces

    via the extension of the (n–1)-dimensional simplex faces of the core n-polytope (equilateral triangles for the great icosahedron, and line segments for

    Great icosahedron

    Great icosahedron

    Great_icosahedron

  • Bounding volume
  • Closed volume that completely contains the union of a set of objects

    the union of a finite set of points, its convex hull is a polytope. A discrete oriented polytope (DOP) generalizes the bounding box. A k-DOP is the Boolean

    Bounding volume

    Bounding volume

    Bounding_volume

  • Great stellated 120-cell
  • Regular star 4-polytope

    regular star 4-polytope with Schläfli symbol {5/2,3,5}. It is one of 10 regular Schläfli-Hess polytopes. It is one of four regular star 4-polytopes discovered

    Great stellated 120-cell

    Great stellated 120-cell

    Great_stellated_120-cell

  • Uniform polyhedron
  • Isogonal polyhedron with regular faces

    polyhedron is a 2-dimensional abstract polytope with a non-degenerate 3-dimensional realization. Here an abstract polytope is a poset of its "faces" satisfying

    Uniform polyhedron

    Uniform polyhedron

    Uniform_polyhedron

  • Alicia Boole Stott
  • Irish mathematician (1860–1940)

    four-dimensional geometry from an early age, and introduced the term "polytope" for a convex solid in four or more dimensions. Alicia Boole was born in

    Alicia Boole Stott

    Alicia_Boole_Stott

  • Truncated 120-cells
  • Uniform 4-polytope

    In geometry, a truncated 120-cell is a uniform 4-polytope formed as the truncation of the regular 120-cell. There are three truncations, including a bitruncation

    Truncated 120-cells

    Truncated 120-cells

    Truncated_120-cells

  • List of uniform polyhedra
  • torus topology, with Euler characteristic of zero. Density: the Density (polytope) represents the number of windings of a polyhedron around its center. This

    List of uniform polyhedra

    List_of_uniform_polyhedra

  • Platonic solid
  • Any of the five regular polyhedra

    are only three convex regular polytopes: the simplex as {3,3,...,3}, the hypercube as {4,3,...,3}, and the cross-polytope as {3,3,...,4}. In three dimensions

    Platonic solid

    Platonic solid

    Platonic_solid

  • Cantellated 5-cell
  • four-dimensional geometry, a cantellated 5-cell is a convex uniform 4-polytope, being a cantellation (a 2nd order truncation, up to edge-planing) of the

    Cantellated 5-cell

    Cantellated 5-cell

    Cantellated_5-cell

  • Lasso (statistics)
  • Statistical method

    square rotated so that its corners lie on the axes (in general a cross-polytope), while the region defined by the ℓ 2 {\displaystyle \ell ^{2}} norm is

    Lasso (statistics)

    Lasso_(statistics)

  • Hyperbolic geometry
  • Type of non-Euclidean geometry

    regions, where they locally resemble the hyperbolic plane. The hyperboloid model of hyperbolic geometry provides a representation of events one temporal

    Hyperbolic geometry

    Hyperbolic geometry

    Hyperbolic_geometry

  • Difference bound matrix
  • In model checking, a field of computer science, a difference bound matrix (DBM) is a data structure used to represent some convex polytopes called zones

    Difference bound matrix

    Difference_bound_matrix

  • E6
  • Topics referred to by the same term

    electronic components E6 (mathematics), a Lie group in mathematics E6 polytope, in geometry Thyroiditis (ICD-10 code: E06) E-6 process, a common photographic

    E6

    E6

  • Convex
  • Topics referred to by the same term

    polygon, a polygon which encloses a convex set of points Convex polytope, a polytope with a convex set of points Convex metric space, a generalization

    Convex

    Convex

  • Geometrical frustration
  • Complex structures in matter physics

    regular tetrahedra if the space is not Euclidean, but spherical. It is the polytope {3,3,5}, using the Schläfli notation, also known as the 600-cell. There

    Geometrical frustration

    Geometrical_frustration

  • Icosahedral honeycomb
  • Regular tiling of hyperbolic 3-space

    non-Euclidean spaces, such as hyperbolic uniform honeycombs. Any finite uniform polytope can be projected to its circumsphere to form a uniform honeycomb in spherical

    Icosahedral honeycomb

    Icosahedral honeycomb

    Icosahedral_honeycomb

  • Duality (mathematics)
  • General concept and operation in mathematics

    generally any convex polytope, corresponds to a dual polyhedron or dual polytope, with an i-dimensional feature of an n-dimensional polytope corresponding to

    Duality (mathematics)

    Duality_(mathematics)

  • Triangular prism
  • Prism with a 3-sided base

    Schönhardt polyhedron. It has a relationship with the honeycombs and polytopes. It can be found in many real-life applications as in architecture and

    Triangular prism

    Triangular prism

    Triangular_prism

  • Cauchy's theorem (geometry)
  • Rigidity theorem for convex polyhedra

    theorem in geometry, named after Augustin Cauchy. It states that convex polytopes in three dimensions with congruent corresponding faces must be congruent

    Cauchy's theorem (geometry)

    Cauchy's_theorem_(geometry)

  • Dodecahedral prism
  • 4-D uniform polytope

    In geometry, a dodecahedral prism is a convex uniform 4-polytope. This 4-polytope has 14 polyhedral cells: 2 dodecahedra connected by 12 pentagonal prisms

    Dodecahedral prism

    Dodecahedral prism

    Dodecahedral_prism

  • Real coordinate space
  • Space formed by the ''n''-tuples of real numbers

    1\\\vdots \\|x_{n}|\leq 1\end{matrix}}} for [−1,1]. Each vertex of the cross-polytope has, for some k, the xk coordinate equal to ±1 and all other coordinates

    Real coordinate space

    Real coordinate space

    Real_coordinate_space

  • Kepler–Poinsot polyhedron
  • Any of 4 regular star polyhedra

    Regular polytope Regular polyhedron List of regular polytopes Uniform polyhedron Uniform star polyhedron Polyhedral compound Regular star 4-polytope – the

    Kepler–Poinsot polyhedron

    Kepler–Poinsot polyhedron

    Kepler–Poinsot_polyhedron

AI & ChatGPT searchs for online references containing POLYTOPE MODEL

POLYTOPE MODEL

AI search references containing POLYTOPE MODEL

POLYTOPE MODEL

  • Namood |
  • Boy/Male

    Muslim

    Namood |

    Sample, Model, Paragon

    Namood |

  • Ayilyam
  • Boy/Male

    Hindu

    Ayilyam

    Model state of india

    Ayilyam

  • Naveen
  • Boy/Male

    Celebrity, Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Punjabi, Sanskrit, Sikh, Tamil, Telugu, Traditional

    Naveen

    New; Role Model of World; Ever Fresh

    Naveen

  • Heiden
  • Surname or Lastname

    German

    Heiden

    German : habitational name from any of several places so named, for example in Westphalia and Switzerland.German : nickname from Middle High German heiden ‘heathen’, Old High German heidano, apparently a derivative of heida ‘heath’, modeled on Latin paganus (see Pain 1). The nickname was sometimes used to refer to a Christian knight who had been on a Crusade to fight in the Holy Land.Jewish (Ashkenazic) : of uncertain origin; possibly a shortened form of any of various ornamental names formed with German Heide- ‘heath’, for example Heidenberg, Heidenkorn, Heidenkrug, Heidenwurzel.English : variant spelling of Hayden.Dutch : shortened form of vanderHeiden.

    Heiden

  • Madhaveshta
  • Girl/Female

    Hindu, Indian, Traditional

    Madhaveshta

    Model; Idea

    Madhaveshta

  • Namood
  • Boy/Male

    Arabic, Muslim

    Namood

    Sample; Model; Paragon

    Namood

  • Long
  • Surname or Lastname

    English and French

    Long

    English and French : nickname for a tall person, from Old English lang, long, Old French long ‘long’, ‘tall’ (equivalent to Latin longus).Irish (Ulster (Armagh) and Munster) : reduced Anglicized form of Gaelic Ó Longáin (see Langan).Chinese : from the name of an official treasurer called Long, who lived during the reign of the model emperor Shun (2257–2205 bc). his descendants adopted this name as their surname. Additionally, a branch of the Liu clan (see Lau 1), descendants of Liu Lei, who supposedly had the ability to handle dragons, was granted the name Yu-Long (meaning roughly ‘resistor of dragons’) by the Xia emperor Kong Jia (1879–1849 bc). Some descendants later simplified Yu-Long to Long and adopted it as their surname.Chinese : there are two sources for this name. One was a place in the state of Lu in Shandong province during the Spring and Autumn period (722–481 bc). The other source is the Xiongnu nationality, a non-Han Chinese people.Chinese : variant of Lang.Cambodian : unexplained.

    Long

  • Nugent
  • Surname or Lastname

    English and Irish (of Norman origin), and northern French

    Nugent

    English and Irish (of Norman origin), and northern French : habitational name from any of several places in northern France, such as Nogent-sur-Oise, named with Latin Novientum, apparently an altered form of a Gaulish name meaning ‘new settlement’.The Anglo-Norman family of this name is descended from Fulke de Bellesme, lord of Nogent in Normandy, who was granted large estates around Winchester after the Conquest. His great-grandson was Hugh de Nugent (died 1213), who went to Ireland with Hugh de Lacy, and was granted lands in Bracklyn, County Westmeath. The family formed itself into a clan on the Irish model, of which the chief bore the hereditary title of Uinsheadun (Irish Uinnseadún), from their original seat at Winchester. They have been Earls of Westmeath since 1621. The name is now a common one in Ireland, and has been adopted there by some who have no connection with the clan.

    Nugent

  • MASANORI
  • Male

    Japanese

    MASANORI

    (正則) Japanese name MASANORI means "model of justice."

    MASANORI

  • Guiderius
  • Boy/Male

    Shakespearean

    Guiderius

    Cymbeline' Son to Cymbeline, disguised under the name of Polydore, a supposed son to Belarius.

    Guiderius

  • Qudwa
  • Boy/Male

    Arabic, Muslim

    Qudwa

    Model; Example

    Qudwa

  • Khnemu
  • Boy/Male

    Egyptian

    Khnemu

    To model.

    Khnemu

  • NORI
  • Female

    Japanese

    NORI

    (1-儀, 2-典, 3-則, 4-法) Japanese unisex name NORI means 1) "ceremony, regalia," 2) "code, precedent," 3) "model, rule, standard," 4) "law, rule."

    NORI

  • Ayilyam | அயீல்யம
  • Boy/Male

    Tamil

    Ayilyam | அயீல்யம

    Model state of india

    Ayilyam | அயீல்யம

  • Benedict
  • Surname or Lastname

    English and Dutch

    Benedict

    English and Dutch : from the medieval personal name Benedict (Latin Benedictus meaning ‘blessed’). This owed its popularity in the Middle Ages chiefly to St. Benedict of Norcia (c.480–550), who founded the Benedictine order of monks at Monte Cassino and wrote a monastic rule that formed a model for all subsequent rules. No doubt the meaning of the Latin word also contributed to its popularity as a personal name, especially in Romance countries.

    Benedict

  • Rut
  • Girl/Female

    Czech, Czechoslovakian, Danish, Finnish, German, Hebrew, Irish, Jewish, Polish

    Rut

    Friend; Beautiful; Model of Righteous Convert; Friendship

    Rut

  • Mason
  • Surname or Lastname

    English and Scottish

    Mason

    English and Scottish : occupational name for a stonemason, Middle English, Old French mas(s)on. Compare Machen. Stonemasonry was a hugely important craft in the Middle Ages.Italian (Veneto) : from a short form of Masone.French : from a regional variant of maison ‘house’.George Mason (1725–92), the American colonial statesman who framed the VA Bill of Rights and Constitution, which was used as a model by Thomas Jefferson when drafting the Declaration of Independence, was a VA planter, fourth in descent from George Mason (?1629–?86), a royalist soldier of the English Civil War who had received land grants in VA. As well as being prominent in the affairs of VA, the family also produced the first governor of MI.

    Mason

  • Ruwwad
  • Boy/Male

    Arabic, Muslim

    Ruwwad

    Pioneers; Explorers; Guides; Leaders; Models

    Ruwwad

  • Qudwa
  • Girl/Female

    Arabic, Muslim

    Qudwa

    Example; Model; Demo

    Qudwa

  • Qudwa |
  • Boy/Male

    Muslim

    Qudwa |

    Model, Example

    Qudwa |

AI search queriess for Facebook and twitter posts, hashtags with POLYTOPE MODEL

POLYTOPE MODEL

Follow users with usernames @POLYTOPE MODEL or posting hashtags containing #POLYTOPE MODEL

POLYTOPE MODEL

Online names & meanings

  • Janna
  • Girl/Female

    Indian

    Janna

    Garden, Paradise

  • Kochai
  • Girl/Female

    Arabic, Muslim, Pashtun

    Kochai

    Nomad

  • Ve
  • Boy/Male

    Norse

    Ve

    Giver of feeling.

  • Vardhani
  • Girl/Female

    Hindu

    Vardhani

    Name of a Raga

  • Kerri
  • Girl/Female

    American, British, English, Gaelic, Irish

    Kerri

    Ciar's People; Dark-haired; Black; Dark One

  • Ammani
  • Girl/Female

    Assamese, Hindu, Indian, Marathi, Tamil

    Ammani

    Gem of a Girl

  • Janakpreet
  • Boy/Male

    Indian, Punjabi, Sikh

    Janakpreet

    Father's Love

  • Nuna
  • Girl/Female

    Native American

    Nuna

    Land.

  • Keerti
  • Girl/Female

    Hindu, Indian, Tamil, Telugu

    Keerti

    Glory; Fame

  • Indukala
  • Boy/Male

    Indian, Punjabi, Sikh

    Indukala

    Moonlight

AI search & ChatGPT queriess for Facebook and twitter users, user names, hashtags with POLYTOPE MODEL

POLYTOPE MODEL

Top AI & ChatGPT search, Social media, medium, facebook & news articles containing POLYTOPE MODEL

POLYTOPE MODEL

AI searchs for Acronyms & meanings containing POLYTOPE MODEL

POLYTOPE MODEL

AI searches, Indeed job searches and job offers containing POLYTOPE MODEL

Other words and meanings similar to

POLYTOPE MODEL

AI search in online dictionary sources & meanings containing POLYTOPE MODEL

POLYTOPE MODEL

  • Polyscope
  • n.

    A glass which makes a single object appear as many; a multiplying glass.

  • Model
  • v. i.

    To make a copy or a pattern; to design or imitate forms; as, to model in wax.

  • Polyscope
  • n.

    An apparatus for affording a view of the different cavities of the body.

  • Polytomy
  • n.

    A division into many members.

  • Polystome
  • n.

    An animal having many mouths; -- applied to Protozoa.

  • Polyhedron
  • n.

    A polyscope, or multiplying glass.

  • Polytype
  • n.

    A cast, or facsimile copy, of an engraved block, matter in type, etc. (see citation); as, a polytype in relief.

  • Polypode
  • n.

    A plant of the genus Polypodium; polypody.

  • Polytyped
  • imp. & p. p.

    of Polytype

  • Polystome
  • a.

    Having many mouths.

  • Polytype
  • v. t.

    To produce a polytype of; as, to polytype an engraving.

  • Polype
  • n.

    See Polyp.

  • Polytype
  • a.

    Of or pertaining to polytypes; obtained by polytyping; as, a polytype plate.

  • Modeler
  • n.

    One who models; hence, a worker in plastic art.

  • Model
  • v. t.

    To plan or form after a pattern; to form in model; to form a model or pattern for; to shape; to mold; to fashion; as, to model a house or a government; to model an edifice according to the plan delineated.

  • Polypode
  • n.

    An animal having many feet; a myriapod.

  • Modeling
  • n.

    The act or art of making a model from which a work of art is to be executed; the formation of a work of art from some plastic material. Also, in painting, drawing, etc., the expression or indication of solid form.

  • Modelize
  • v. t.

    To model.

  • Polytyping
  • p. pr. & vb. n.

    of Polytype