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Get to know Cuboctahedron better with 10+ real example sentences, the meaning.

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Cuboctahedron in a sentence

Cuboctahedron meaning

An Archimedean solid that has fourteen faces (eight triangular and six square) and is both isogonal and isotoxal.

Using Cuboctahedron

  • The main meaning on this page is: An Archimedean solid that has fourteen faces (eight triangular and six square) and is both isogonal and isotoxal.
  • In the example corpus, cuboctahedron often appears in combinations such as: the cuboctahedron.

Context around Cuboctahedron

  • Average sentence length in these examples: 23.5 words
  • Position in the sentence: 4 start, 3 middle, 3 end
  • Sentence types: 10 statements, 0 questions, 0 exclamations

Often before:

quasiregular 1×

Often after:

corresponds 1× forms 1× shares 1×

Sentence patterns with Cuboctahedron

These short patterns come directly from the example sentences and show how the word is often embedded:

arrangement the cuboctahedron shares its 1× bipyramid a cuboctahedron would be 1× obtain the cuboctahedron 1× of the cuboctahedron 1× of the cuboctahedron corresponds with 1× of the cuboctahedron which also 1× projection the cuboctahedron forms the 1× that the cuboctahedron and icosidodecahedron 1×

Sentence openings and endings

Common sentence openings:

eight of these 1× in this example 1× in this nomenclature 1× it is dual 1× the cuboctahedron also 1× the skew projections 1×

Common sentence endings:

a crystal form 1× a pentagonal gyrobirotunda 1× colors of triangles 1× dual rhombic dodecahedron 1× eight irregular octahedra 1× faces in common 1×

Words around Cuboctahedron

Just before it in the word index:

cubmaster 3 cublai 2 cubitts 2 cubitt 8 cubits 14 cubital 4

Just after it in the word index:

cuboh 2 cuboid 8 cuboidal 3 cuboids 4 cubomania 2 cubone 3

Similar in corpus frequency:

aanholt 13 aardwolf 13 abati 13 abbeville 13 abcc 13 abcon 13

Corpus analysis for Cuboctahedron

  • In this selection, "cuboctahedron" usually appears near the start of the sentence. The average example has 23.5 words, and this corpus slice is mostly made up of statements.
  • Around the word, quasiregular, corresponds, forms and shares stand out and add context to how "cuboctahedron" is used.
  • Recognizable usage signals include arrangement the cuboctahedron shares its and bipyramid a cuboctahedron would be. That gives this page its own corpus information beyond isolated example sentences.
  • By corpus frequency, "cuboctahedron" sits close to words such as aanholt, aardwolf and abati, which helps place it inside the broader word index.

Example types with cuboctahedron

The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:

Short example sentences

The cuboctahedron also has tetrahedral symmetry with two colors of triangles. (11 words)

The skew projections show a square and hexagon passing through the center of the cuboctahedron. (15 words)

It is dual to the quasiregular cuboctahedron (an Archimedean solid ) and occurs in nature as a crystal form. (18 words)

Longer example sentences

The vertices of the octahedron lie at the midpoints of the edges of the tetrahedron, and in this sense it relates to the tetrahedron in the same way that the cuboctahedron and icosidodecahedron relate to the other Platonic solids. (39 words)

In this example the size of the vertex figure was chosen so that its circumcircle lies on the intersphere of the cuboctahedron, which also becomes the intersphere of the dual rhombic dodecahedron. (32 words)

Vertex arrangement The cuboctahedron shares its edges and vertex arrangement with two nonconvex uniform polyhedra : the cubohemioctahedron (having the square faces in common) and the octahemioctahedron (having the triangular faces in common). (32 words)

Example sentences (10)

Eight of these irregular octahedra can be attached to the triangular faces of a regular octahedron to obtain the cuboctahedron.

In this example the size of the vertex figure was chosen so that its circumcircle lies on the intersphere of the cuboctahedron, which also becomes the intersphere of the dual rhombic dodecahedron.

In this nomenclature, an octahedron would be a square bipyramid, a cuboctahedron would be a triangular gyrobicupola, and an icosidodecahedron would be a pentagonal gyrobirotunda.

It is dual to the quasiregular cuboctahedron (an Archimedean solid ) and occurs in nature as a crystal form.

The cuboctahedron also has tetrahedral symmetry with two colors of triangles.

The skew projections show a square and hexagon passing through the center of the cuboctahedron.

The vertices of the octahedron lie at the midpoints of the edges of the tetrahedron, and in this sense it relates to the tetrahedron in the same way that the cuboctahedron and icosidodecahedron relate to the other Platonic solids.

This decomposition of the cuboctahedron corresponds with the cell-first parallel projection of the 24-cell into three dimensions.

Under this projection, the cuboctahedron forms the projection envelope, which can be decomposed into six square faces, a regular octahedron, and eight irregular octahedra.

Vertex arrangement The cuboctahedron shares its edges and vertex arrangement with two nonconvex uniform polyhedra : the cubohemioctahedron (having the square faces in common) and the octahemioctahedron (having the triangular faces in common).

Common combinations with cuboctahedron

These word pairs occur most frequently in English texts:

Frequently asked questions

How do you use "cuboctahedron" in a sentence?
An example: "Eight of these irregular octahedra can be attached to the triangular faces of a regular octahedron to obtain the cuboctahedron." This page contains 10+ example sentences with the word "cuboctahedron" from authentic English texts.
What does "cuboctahedron" mean?
Cuboctahedron means: An Archimedean solid that has fourteen faces (eight triangular and six square) and is both isogonal and isotoxal.
How many example sentences with "cuboctahedron" are there?
Voorbeeldzinnen.info contains at least 10+ example sentences with "cuboctahedron", drawn from a database of millions of English sentences.