Definition of octahedron in English:

octahedron

nounPlural octahedra, Plural octahedrons ˌɒktəˈhiːdrənˌɑktəˈhidrən

1A three-dimensional shape having eight plane faces, especially a regular solid figure with eight equal triangular faces.
八面体（尤指实心正八面体）
Example sentencesExamples
- This six-point perspective, with the six vertices of an octahedron serving as the vanishing points, becomes the basis of his spherical paintings.
- I'd like to mention in passing that the octahedron, the dual of the cube, also contains 26: 8 faces, 12 edges, 6 vertices.
- Theaetetus was the first to study the octahedron and the icosahedron and it is believed that Book XIII of Euclid's Elements is based on his work.
- A dodecahedron modified by the octahedron and cube from Nordmark, Sweden, is figured in Goldschmidt.
- It was a set of platonic bodies: there was an octahedron and a double tetrahedron.
- Finally, the octahedron inscribed in the Venus-orbit sphere has itself an inscribed sphere, on which the orbit of Mercury lies.
- The cube, consisting of six square faces, is a common form either alone or in combination with other forms, especially the octahedron.
- Plato believed that atoms have the shapes of regular polyhedra: cubes, tetrahedrons, octahedrons, and so on.
- These are often known as the Platonic solids: the tetrahedron, cube, octahedron, dodecahedron and icosahedron.
- There is the octahedron, with 8 faces, 12 edges and 6 vertices.
- These five remarkable solids - tetrahedron, cube, octahedron, dodecahedron, icosahedron - have faces that are congruent equilateral polygons.
- Peterson and Jordan go on to investigate interesting links between integer octahedra and integer antiprisms.
1. 1.1 A body, especially a crystal, in the form of a regular octahedron.
  （尤指结晶）正八面体
  Example sentencesExamples
  One specimen was covered with small rounded crystal-like projections, similar to cube and octahedron forms.
  Copper, Cu, has been found associated with cuprite octahedra at Pedra Preta, where these minerals occur on talc and magnesite.
  Most that I have seen have been elongated octahedra or other forms, such as some of the branches of an arborescent aggregate.
  While writing, I may choose a clear Quartz Crystal for clarity or a yellow Fluorite octahedron to help keep creative thoughts flowing.
  A diamond crystal is essentially two pyramids stuck together - an octahedron.
  The octahedra range from 5 to 10 pm in diameter and show interpenetrant growth.
  Most of these specimens exhibit crystals that are cubic in habit; however, octahedra of both blue-gray and medium green have also been common.
  There were smoky quartz crystals plus huge fluorite octahedra.
  When well-crystallized, it typically exhibits the cube form modified by the octahedron and dodecahedron; crystals to 20 cm across have been reported.
  In contrast to crystals that resemble textbook drawings, the most frequently encountered gold crystals are skeletal octahedra.
  The Ogluinsky mine specimens are millimeter-sized octahedra, and the Nicolay mine specimens are unabraded and have mica attached.
  Older collections sometimes contain small, very pale, transparent green fluorite octahedra from the Tomboy vein.
  The exception is an octahedron from another Peruvian mine, Quiruvilca (400 kilometers north of Huanzala).
  Earth was a cube, air an octahedron, fire a tetrahedron and water an icosahedron.
  The fluorite tends to occur only as cubes modified by the dodecahedron, with simple cubes or octahedra uncommon or absent.
  Water was an icosahedron, and air had to be an octahedron.
  The one exception is the exciting accidental discovery of a 4.22-carat, gem-quality octahedron in Dale County, Alabama.
  It involves placing the knot inside a plastic octahedron and mapping where the strands of the knot meet.
  She notes that lime-green to purplish-green modified fluorite octahedra have been found at this pegmatite.
  One small lot of specimens from Alta Floresta, Mato Grosso, exhibited moderately rounded, well-developed octahedra.

Derivatives

octahedral

adjective ˌɒktəˈhiːdrəlˌɑktəˈhidrəl

Galena is also found as larger isolated octahedral crystals within the coarse calcite cement in breccias in the upper parts of the core.
Example sentencesExamples
- It's octahedral in shape with a high, vaulted ceiling and sunlight streaming through hidden windows.
- In 1990 bright emerald-green, transparent, octahedral fluorite crystals were discovered in the Kettle mine by mine surveyor Michelle Scott.
- The outer portion of the garnets is altered to clinochlore, and small octahedral crystals of magnetite and martite occur in the schist.
- Also, some glass scientists thought the glass would immediately crystallize if it became octahedral.

Origin

Late 16th century: from Greek oktaedron, neuter (used as a noun) of oktaedros 'eight-faced'.

Rhymes

decahedron, dodecahedron, polyhedron, tetrahedron

Definition of octahedron in US English:

octahedron

nounˌɑktəˈhidrənˌäktəˈhēdrən

1A three-dimensional shape having eight plane faces, especially a regular solid figure with eight equal triangular faces.
八面体（尤指实心正八面体）
Example sentencesExamples
- Plato believed that atoms have the shapes of regular polyhedra: cubes, tetrahedrons, octahedrons, and so on.
- These are often known as the Platonic solids: the tetrahedron, cube, octahedron, dodecahedron and icosahedron.
- A dodecahedron modified by the octahedron and cube from Nordmark, Sweden, is figured in Goldschmidt.
- These five remarkable solids - tetrahedron, cube, octahedron, dodecahedron, icosahedron - have faces that are congruent equilateral polygons.
- I'd like to mention in passing that the octahedron, the dual of the cube, also contains 26: 8 faces, 12 edges, 6 vertices.
- Finally, the octahedron inscribed in the Venus-orbit sphere has itself an inscribed sphere, on which the orbit of Mercury lies.
- There is the octahedron, with 8 faces, 12 edges and 6 vertices.
- This six-point perspective, with the six vertices of an octahedron serving as the vanishing points, becomes the basis of his spherical paintings.
- The cube, consisting of six square faces, is a common form either alone or in combination with other forms, especially the octahedron.
- Theaetetus was the first to study the octahedron and the icosahedron and it is believed that Book XIII of Euclid's Elements is based on his work.
- It was a set of platonic bodies: there was an octahedron and a double tetrahedron.
- Peterson and Jordan go on to investigate interesting links between integer octahedra and integer antiprisms.
1. 1.1 A body, especially a crystal, in the form of a regular octahedron.
  （尤指结晶）正八面体
  Example sentencesExamples
  A diamond crystal is essentially two pyramids stuck together - an octahedron.
  The Ogluinsky mine specimens are millimeter-sized octahedra, and the Nicolay mine specimens are unabraded and have mica attached.
  In contrast to crystals that resemble textbook drawings, the most frequently encountered gold crystals are skeletal octahedra.
  There were smoky quartz crystals plus huge fluorite octahedra.
  The fluorite tends to occur only as cubes modified by the dodecahedron, with simple cubes or octahedra uncommon or absent.
  She notes that lime-green to purplish-green modified fluorite octahedra have been found at this pegmatite.
  When well-crystallized, it typically exhibits the cube form modified by the octahedron and dodecahedron; crystals to 20 cm across have been reported.
  Most that I have seen have been elongated octahedra or other forms, such as some of the branches of an arborescent aggregate.
  While writing, I may choose a clear Quartz Crystal for clarity or a yellow Fluorite octahedron to help keep creative thoughts flowing.
  The exception is an octahedron from another Peruvian mine, Quiruvilca (400 kilometers north of Huanzala).
  Copper, Cu, has been found associated with cuprite octahedra at Pedra Preta, where these minerals occur on talc and magnesite.
  Water was an icosahedron, and air had to be an octahedron.
  The octahedra range from 5 to 10 pm in diameter and show interpenetrant growth.
  One small lot of specimens from Alta Floresta, Mato Grosso, exhibited moderately rounded, well-developed octahedra.
  The one exception is the exciting accidental discovery of a 4.22-carat, gem-quality octahedron in Dale County, Alabama.
  It involves placing the knot inside a plastic octahedron and mapping where the strands of the knot meet.
  Earth was a cube, air an octahedron, fire a tetrahedron and water an icosahedron.
  One specimen was covered with small rounded crystal-like projections, similar to cube and octahedron forms.
  Older collections sometimes contain small, very pale, transparent green fluorite octahedra from the Tomboy vein.
  Most of these specimens exhibit crystals that are cubic in habit; however, octahedra of both blue-gray and medium green have also been common.

Origin

Late 16th century: from Greek oktaedron, neuter (used as a noun) of oktaedros ‘eight-faced’.

单词	octahedron
释义	Definition of octahedron in English: octahedron nounPlural octahedra, Plural octahedrons ˌɒktəˈhiːdrənˌɑktəˈhidrən 1A three-dimensional shape having eight plane faces, especially a regular solid figure with eight equal triangular faces. 八面体（尤指实心正八面体） Example sentencesExamples This six-point perspective, with the six vertices of an octahedron serving as the vanishing points, becomes the basis of his spherical paintings. I'd like to mention in passing that the octahedron, the dual of the cube, also contains 26: 8 faces, 12 edges, 6 vertices. Theaetetus was the first to study the octahedron and the icosahedron and it is believed that Book XIII of Euclid's Elements is based on his work. A dodecahedron modified by the octahedron and cube from Nordmark, Sweden, is figured in Goldschmidt. It was a set of platonic bodies: there was an octahedron and a double tetrahedron. Finally, the octahedron inscribed in the Venus-orbit sphere has itself an inscribed sphere, on which the orbit of Mercury lies. The cube, consisting of six square faces, is a common form either alone or in combination with other forms, especially the octahedron. Plato believed that atoms have the shapes of regular polyhedra: cubes, tetrahedrons, octahedrons, and so on. These are often known as the Platonic solids: the tetrahedron, cube, octahedron, dodecahedron and icosahedron. There is the octahedron, with 8 faces, 12 edges and 6 vertices. These five remarkable solids - tetrahedron, cube, octahedron, dodecahedron, icosahedron - have faces that are congruent equilateral polygons. Peterson and Jordan go on to investigate interesting links between integer octahedra and integer antiprisms. 1.1 A body, especially a crystal, in the form of a regular octahedron. （尤指结晶）正八面体 Example sentencesExamples One specimen was covered with small rounded crystal-like projections, similar to cube and octahedron forms. Copper, Cu, has been found associated with cuprite octahedra at Pedra Preta, where these minerals occur on talc and magnesite. Most that I have seen have been elongated octahedra or other forms, such as some of the branches of an arborescent aggregate. While writing, I may choose a clear Quartz Crystal for clarity or a yellow Fluorite octahedron to help keep creative thoughts flowing. A diamond crystal is essentially two pyramids stuck together - an octahedron. The octahedra range from 5 to 10 pm in diameter and show interpenetrant growth. Most of these specimens exhibit crystals that are cubic in habit; however, octahedra of both blue-gray and medium green have also been common. There were smoky quartz crystals plus huge fluorite octahedra. When well-crystallized, it typically exhibits the cube form modified by the octahedron and dodecahedron; crystals to 20 cm across have been reported. In contrast to crystals that resemble textbook drawings, the most frequently encountered gold crystals are skeletal octahedra. The Ogluinsky mine specimens are millimeter-sized octahedra, and the Nicolay mine specimens are unabraded and have mica attached. Older collections sometimes contain small, very pale, transparent green fluorite octahedra from the Tomboy vein. The exception is an octahedron from another Peruvian mine, Quiruvilca (400 kilometers north of Huanzala). Earth was a cube, air an octahedron, fire a tetrahedron and water an icosahedron. The fluorite tends to occur only as cubes modified by the dodecahedron, with simple cubes or octahedra uncommon or absent. Water was an icosahedron, and air had to be an octahedron. The one exception is the exciting accidental discovery of a 4.22-carat, gem-quality octahedron in Dale County, Alabama. It involves placing the knot inside a plastic octahedron and mapping where the strands of the knot meet. She notes that lime-green to purplish-green modified fluorite octahedra have been found at this pegmatite. One small lot of specimens from Alta Floresta, Mato Grosso, exhibited moderately rounded, well-developed octahedra. Derivatives octahedral adjective ˌɒktəˈhiːdrəlˌɑktəˈhidrəl Galena is also found as larger isolated octahedral crystals within the coarse calcite cement in breccias in the upper parts of the core. Example sentencesExamples It's octahedral in shape with a high, vaulted ceiling and sunlight streaming through hidden windows. In 1990 bright emerald-green, transparent, octahedral fluorite crystals were discovered in the Kettle mine by mine surveyor Michelle Scott. The outer portion of the garnets is altered to clinochlore, and small octahedral crystals of magnetite and martite occur in the schist. Also, some glass scientists thought the glass would immediately crystallize if it became octahedral. Origin Late 16th century: from Greek oktaedron, neuter (used as a noun) of oktaedros 'eight-faced'. Rhymes decahedron, dodecahedron, polyhedron, tetrahedron Definition of octahedron in US English: octahedron nounˌɑktəˈhidrənˌäktəˈhēdrən 1A three-dimensional shape having eight plane faces, especially a regular solid figure with eight equal triangular faces. 八面体（尤指实心正八面体） Example sentencesExamples Plato believed that atoms have the shapes of regular polyhedra: cubes, tetrahedrons, octahedrons, and so on. These are often known as the Platonic solids: the tetrahedron, cube, octahedron, dodecahedron and icosahedron. A dodecahedron modified by the octahedron and cube from Nordmark, Sweden, is figured in Goldschmidt. These five remarkable solids - tetrahedron, cube, octahedron, dodecahedron, icosahedron - have faces that are congruent equilateral polygons. I'd like to mention in passing that the octahedron, the dual of the cube, also contains 26: 8 faces, 12 edges, 6 vertices. Finally, the octahedron inscribed in the Venus-orbit sphere has itself an inscribed sphere, on which the orbit of Mercury lies. There is the octahedron, with 8 faces, 12 edges and 6 vertices. This six-point perspective, with the six vertices of an octahedron serving as the vanishing points, becomes the basis of his spherical paintings. The cube, consisting of six square faces, is a common form either alone or in combination with other forms, especially the octahedron. Theaetetus was the first to study the octahedron and the icosahedron and it is believed that Book XIII of Euclid's Elements is based on his work. It was a set of platonic bodies: there was an octahedron and a double tetrahedron. Peterson and Jordan go on to investigate interesting links between integer octahedra and integer antiprisms. 1.1 A body, especially a crystal, in the form of a regular octahedron. （尤指结晶）正八面体 Example sentencesExamples A diamond crystal is essentially two pyramids stuck together - an octahedron. The Ogluinsky mine specimens are millimeter-sized octahedra, and the Nicolay mine specimens are unabraded and have mica attached. In contrast to crystals that resemble textbook drawings, the most frequently encountered gold crystals are skeletal octahedra. There were smoky quartz crystals plus huge fluorite octahedra. The fluorite tends to occur only as cubes modified by the dodecahedron, with simple cubes or octahedra uncommon or absent. She notes that lime-green to purplish-green modified fluorite octahedra have been found at this pegmatite. When well-crystallized, it typically exhibits the cube form modified by the octahedron and dodecahedron; crystals to 20 cm across have been reported. Most that I have seen have been elongated octahedra or other forms, such as some of the branches of an arborescent aggregate. While writing, I may choose a clear Quartz Crystal for clarity or a yellow Fluorite octahedron to help keep creative thoughts flowing. The exception is an octahedron from another Peruvian mine, Quiruvilca (400 kilometers north of Huanzala). Copper, Cu, has been found associated with cuprite octahedra at Pedra Preta, where these minerals occur on talc and magnesite. Water was an icosahedron, and air had to be an octahedron. The octahedra range from 5 to 10 pm in diameter and show interpenetrant growth. One small lot of specimens from Alta Floresta, Mato Grosso, exhibited moderately rounded, well-developed octahedra. The one exception is the exciting accidental discovery of a 4.22-carat, gem-quality octahedron in Dale County, Alabama. It involves placing the knot inside a plastic octahedron and mapping where the strands of the knot meet. Earth was a cube, air an octahedron, fire a tetrahedron and water an icosahedron. One specimen was covered with small rounded crystal-like projections, similar to cube and octahedron forms. Older collections sometimes contain small, very pale, transparent green fluorite octahedra from the Tomboy vein. Most of these specimens exhibit crystals that are cubic in habit; however, octahedra of both blue-gray and medium green have also been common. Origin Late 16th century: from Greek oktaedron, neuter (used as a noun) of oktaedros ‘eight-faced’.
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