Wondering how to use Octahedron in a sentence? Below are 10+ example sentences from authentic English texts. Including the meaning and synonyms such as polyhedron.
Octahedron in a sentence
Octahedron meaning
a polyhedron with eight faces; the regular octahedron has regular triangles as faces and is one of the Platonic solids.
Synonyms of Octahedron
Using Octahedron
- The main meaning on this page is: a polyhedron with eight faces; the regular octahedron has regular triangles as faces and is one of the Platonic solids.
- Useful related words include: polyhedron.
- In the example corpus, octahedron often appears in combinations such as: regular octahedron, the octahedron, an octahedron.
Context around Octahedron
- Average sentence length in these examples: 19.9 words
- Position in the sentence: 4 start, 9 middle, 7 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis for Octahedron
- In this selection, "octahedron" usually appears in the middle of the sentence. The average example has 19.9 words, and this corpus slice is mostly made up of statements.
- Around the word, regular, irregular, fluorite, irregular, water and giving stand out and add context to how "octahedron" is used.
- Recognizable usage signals include a regular octahedron is the and a regular octahedron to obtain. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "octahedron" sits close to words such as abaribe, abbasids and abstentions, which helps place it inside the broader word index.
Example types with octahedron
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Octahedra in the physical world Octahedra in nature Fluorite octahedron. (10 words)
Other convex octahedra More generally, an octahedron can be any polyhedron with eight faces. (14 words)
Note the duality between the cube and the octahedron, and between the dodecahedron and the icosahedron. (16 words)
Some of these can be made by taking a cube or octahedron and cutting off the edges, then trimming the corners, so the resulting polyhedron has six square and twelve rectangular faces. (32 words)
Correspondingly, a regular octahedron is the result of cutting off from a regular tetrahedron, four regular tetrahedra of half the linear size (i.e. rectifying the tetrahedron). (27 words)
The regular octahedron has 6 vertices and 12 edges, the minimum for an octahedron; irregular octahedra may have as many as 12 vertices and 18 edges. (26 words)
Example sentences (20)
The regular octahedron has 6 vertices and 12 edges, the minimum for an octahedron; irregular octahedra may have as many as 12 vertices and 18 edges.
Air is made of the octahedron; its minuscule components are so smooth that one can barely feel it.
An example of this is the Trabjer's Octahedron, which can be built by truncating and extending portions of a regular 3×3.
Correspondingly, a regular octahedron is the result of cutting off from a regular tetrahedron, four regular tetrahedra of half the linear size (i.e. rectifying the tetrahedron).
Earth was associated with the cube, air with the octahedron, water with the icosahedron, and fire with the tetrahedron.
Eight of these irregular octahedra can be attached to the triangular faces of a regular octahedron to obtain the cuboctahedron.
For example, one can divide an octahedron into four identical tetrahedra and combine them again with two regular ones.
For example, O+T refers to a configuration made of one half of octahedron and a tetrahedron.
However, two regular tetrahedra can be combined with an octahedron, giving a rhombohedron that can tile space.
If two opposite corners of a cube are truncated at the depth of the three vertices directly connected to them, an irregular octahedron is obtained.
In the elongated form, each prism meets a tetrahedron at one triangular end and an octahedron at the other.
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.
Note the duality between the cube and the octahedron, and between the dodecahedron and the icosahedron.
Octahedra in the physical world Octahedra in nature Fluorite octahedron.
Other convex octahedra More generally, an octahedron can be any polyhedron with eight faces.
Related polyhedra The rhombicuboctahedron is one of a family of uniform polyhedra related to the cube and regular octahedron.
Some of these can be made by taking a cube or octahedron and cutting off the edges, then trimming the corners, so the resulting polyhedron has six square and twelve rectangular faces.
Some such shapes include the tetrahedron ( Pyraminx ), the octahedron ( Skewb Diamond ), the dodecahedron ( Megaminx ), the icosahedron ( Dogic ).
Sometimes they are found grown together or form double "twinned" crystals at the surfaces of the octahedron.
Tetratetrahedron The regular octahedron can also be considered a rectified tetrahedron – and can be called a tetratetrahedron.
Common combinations with octahedron
These word pairs occur most frequently in English texts:
- regular octahedron 10×
- the octahedron 10×
- an octahedron 7×
- octahedron is 5×
- octahedron and 5×
- octahedron can 2×