「Polytope」の共起表現(1語右で並び替え)

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「Polytope」の共起表現一覧(1語右で並び替え)

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projection viewed from a point outside of the	polytope, above the center of a facet.
in Rd (the moment curve) is called a cyclic	polytope and denoted C(n,d).
It is composed of 241	polytope and 8-simplex facets arranged in a demioctera
ation offers a direct sequence from a regular	polytope and its birectified form.
imensions, thanks to the existence of the 421	polytope and its associated lattice.
tially, both in the number of vertices of the	polytope and in the dimension.
All vertices and edges of the	polytope are projected onto a hyperplane of that facet
Vertices of this	polytope are positioned at the centers of all the 6048
Coxeter named this	polytope as 151 from its Coxeter-Dynkin diagram, with
Coxeter named this	polytope as 141 from its Coxeter-Dynkin diagram, with
Coxeter named this	polytope as 161 from its Coxeter-Dynkin diagram, with
Coxeter named this	polytope as 171 from its Coxeter-Dynkin diagram, with
Coxeter named this	polytope as 131 from its Coxeter-Dynkin diagram, with
Coxeter named this	polytope as 121 from its Coxeter-Dynkin diagram, which
n six-dimensional geometry, a 6-polytope is a	polytope, bounded by 5-polytope facets.
8-cell is a uniform polychoron (4-dimensional	polytope) bounded by 24 cells: 8 cuboctahedra, and 16
rd Stanley, the boundary Δ(n,d) of the cyclic	polytope C(n,d) maximizes the number fi of i-dimension
ces of the hepteract, creates another uniform	polytope, called a 8-demicube, (part of an infinite fa
ices of the dekeract, creates another uniform	polytope, called a 10-demicube, (part of an infinite f
Any finite uniform	polytope can be projected to its circumsphere to form
y from Cauchy's theorem stating that a convex	polytope cannot be deformed so that its faces remain r
tope or hexadecazetton, being a 8 dimensional	polytope constructed from 16 regular facets.
saxennon or icosa-10-tope as a 10 dimensional	polytope, constructed from 20 regular facets.
l geometry, a polyyotton (or 9-polytope) is a	polytope contained by 8-polytope facets.
The vertices of one	polytope correspond to the (n − 1)-dimensional element
Each vertex of this	polytope corresponds to the center of a 6-sphere in a
In mathematics, a cyclic	polytope, denoted C(n,d), is a convex polytope formed
In geometry,	polytope density represents the number of windings of
This article is about	polytope elements.
rm polytopes in 8-dimensions, made of uniform	polytope facets and vertex figures, defined by all per
ex-transitive tessellations made from uniform	polytope facets.
It exists in the k21	polytope family as 121 with the Gosset polytopes: 221,
s a uniform polychoron (4-dimensional uniform	polytope) formed as the rectification of the regular 1
ygon, polyhedron, or other higher dimensional	polytope, formed by the intersection of edges, faces o
The 1-skeleton of any k-dimensional convex	polytope forms a k-vertex-connected graph (Balinski's
etry, a Schlegel diagram is a projection of a	polytope from Rd into Rd − 1 through a point beyond on
E. L. Elte (1912) excluded this	polytope from his listing of semiregular polytopes, be
More recently, the concept of a	polytope has been further generalized.
See also Regular	polytope: History of discovery.
One can prove that P is a normal	polytope if and only if this monoid is normal.
The only regular	polytope in one dimension is the line segment, with Sc
decayotton, or deca-9-tope, as a 10-facetted	polytope in 9-dimensions..
enneazetton, or ennea-8-tope, as a 9-facetted	polytope in 8-dimensions..
an octaexon, or octa-7-tope, as an 8-facetted	polytope in 7-dimensions.
axennon, or hendeca-10-tope, as a 11-facetted	polytope in 10-dimensions.
heptapeton, or hepta-6-tope, as a 7-facetted	polytope in 6-dimensions.
hich states that the diameter of any 2d-facet	polytope in d-dimensional Euclidean space is no more t
ates that the edge-vertex graph of an n-facet	polytope in d-dimensional Euclidean space has diameter
The Gosset 321	polytope is a semiregular polytope.
In 6-dimensional geometry, the 122	polytope is a uniform polytope, constructed from the E
The dual	polytope is the 6-hypercube, or hexeract.
The dual	polytope is an 8-hypercube, or octeract.
Each	polytope is constructed from 1k-1,2 and (n-1)-demicube
This	polytope is the vertex figure for the 162 honeycomb.
The dual	polytope is the 9-hypercube or enneract.
The dual	polytope is the 5-hypercube or penteract.
The dual	polytope is the 10-hypercube or 10-cube.
The 1-skeleton of a polyhedron or	polytope is the set of vertices and edges of the polyt
In geometry, the cyclohedron or Bott-Taubes	polytope is a certain (n − 1)-dimensional polytope tha
Each	polytope is constructed from (n-1)-simplex and 2k-1,1
For instance, a 2-neighborly	polytope is a polytope in which every pair of vertices
mensional geometry, a 5-orthoplex, or 5-cross	polytope, is a five-dimensional polytope with 10 verti
e term semiregular polyhedron (or semiregular	polytope) is used variously by different authors.
This	polytope is one of 31 uniform polytera generated from
This	polytope is one of 135 uniform 8-polytopes with A8 sym
Each has a vertex figure of a {31,n-2,2}	polytope is a birectified n-simplex, t2{3n}.
This	polytope is one of 71 uniform 7-polytopes with A7 symm
This	polytope is the vertex figure for a uniform tessellati
matics, the polar sine of a vertex angle of a	polytope is defined as follows.
c combinatorics, the h-vector of a simplicial	polytope is a fundamental invariant of the polytope wh
This	polytope is one of 63 uniform polypeta generated from
This	polytope is the vertex figure of the 9-demicube, and t
and the skeleton of any k-dimensional convex	polytope is a k-connected graph.
In geometry, a 6-orthoplex, or 6-cross	polytope, is a regular 6-polytope with 12 vertices, 60
This	polytope is based on the 5-demicube, a part of a dimen
This	polytope is based on the 6-demicube, a part of a dimen
Each vertex of this	polytope is the center of a 6-sphere in the densest kn
In geometry, an 8-orthoplex, or 8-cross	polytope is a regular 8-polytope with 16 vertices, 112
If the	polytope is convex, a point near the facet will exist
In geometry, a 10-orthoplex or 10-cross	polytope, is a regular 10-polytope with 20 vertices, 1
ven by a notorious problem about the Matching	Polytope: Is the extension complexity of the convex hu
Stasheff	polytope K5
In mathematics, an associahedron or Stasheff	polytope Kn is a convex polytope in which each vertex
Whether or not every four-dimensional	polytope may be cut along the two-dimensional faces sh
That is, any two vertices of the	polytope must be connected to each other by a path of
hich analogously generalizes the spanning set	polytope of matroids.
The dual	polytope of the 120-cell is the 600-cell.
E, the polymatroid defined by E and r is the	polytope of all
ter-example was found, using a 43-dimensional	polytope of 86 facets with a diameter of more than 43.
Isogonal polygon, polyhedron,	polytope or tiling.
ell is a descriptive term for an element of a	polytope or tessellation, usually representing an elem
root systems - the vertices and edges of the	polytope, or roots (and some edges connecting these) a
e L in Euclidean space Rn and a d-dimensional	polytope P in Rn, and assume that all the vertices of
atorial commutative algebra, a convex lattice	polytope P is called normal if it has the following pr
It is topologically equivalent to the regular	polytope penteract in 5-space.
d in linear programming, as the diameter of a	polytope provides a lower bound on the number of steps
The band was signed to independent label	Polytope records and toured twice under this label.
ove for Enemies first EP, released in 2001 on	Polytope Records.
st possible of 240), with each vertex of this	polytope represents the center point for one of the 11
e best known of 72), with each vertex of this	polytope represents the center point for one of the 60
best known of 126), with each vertex of this	polytope represents the center point for one of the 84
ore dimensions, and in general a k-neighborly	polytope requires a dimension of 2k or more.
ry of 4 dimensions or higher, a proprism is a	polytope resulting from the Cartesian product of two o
convex regular 4-polytope) is a 4-dimensional	polytope that is both regular and convex.
Each continuous interior region of a	polytope that crosses no facets can be seen as an inte
If P is a convex lattice	polytope, then it follows from Gordan's lemma that the
For every stellation of some convex	polytope, there exists a dual facetting of the dual po
r applied to a regular polyhedron (or regular	polytope) which creates a resulting uniform polyhedron
ell is the unique self-dual regular Euclidean	polytope which is neither a polygon nor a simplex.
rtices, which gives an example of an abstract	polytope whose faces are not determined by their verte
The tritruncated 6-simplex isotopic	polytope, with 14 identical bitruncated 5-simplex face
derived from combining the family name cross	polytope with hex for six (dimensions) in Greek.
derived from combining the family name cross	polytope with oct for eight (dimensions) in Greek
derived from combining the family name cross	polytope with ennea for nine (dimensions) in Greek
derived from combining the family name cross	polytope with pente for five (dimensions) in Greek.
derived from combining the family name cross	polytope with deca for ten (dimensions) in Greek
ar graph (1-skeleton of the 7-dimensional 321	polytope) with 56 vertices and valency 27.
of removing parts of a polygon, polyhedron or	polytope, without creating any new vertices.

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「Polytope」の共起表現一覧(1語右で並び替え)