Wondering how to use Icosahedron in a sentence? Below are 10+ example sentences from authentic English texts. Including the meaning and synonyms such as polyhedron.
Icosahedron in a sentence
Icosahedron meaning
- A polyhedron with twenty faces.
- A regular icosahedron: one of the Platonic solids, all of whose faces are regular (equilateral) triangles
Synonyms of Icosahedron
Using Icosahedron
- The main meaning on this page is: A polyhedron with twenty faces. | A regular icosahedron: one of the Platonic solids, all of whose faces are regular (equilateral) triangles
- Useful related words include: polyhedron.
- In the example corpus, icosahedron often appears in combinations such as: the icosahedron, regular icosahedron, an icosahedron.
Context around Icosahedron
- Average sentence length in these examples: 20.9 words
- Position in the sentence: 6 start, 10 middle, 4 end
- Sentence types: 20 statements, 0 questions, 0 exclamations
Corpus analysis for Icosahedron
- In this selection, "icosahedron" usually appears in the middle of the sentence. The average example has 20.9 words, and this corpus slice is mostly made up of statements.
- Around the word, regular, great, tetrahedron, uses, occupies and lines stand out and add context to how "icosahedron" is used.
- Recognizable usage signals include a regular icosahedron as can and a regular icosahedron is a. That gives this page its own corpus information beyond isolated example sentences.
- By corpus frequency, "icosahedron" sits close to words such as abbe, abeyance and abp, which helps place it inside the broader word index.
Example types with icosahedron
The same corpus examples are grouped by length and sentence type, making it easier to see the contexts in which the word appears:
Stellations The icosahedron has a large number of stellations. (9 words)
An icosahedron is used in the board game Scattergories to choose a letter of the alphabet. (16 words)
Many borides and allotropes of boron contain boron B 12 icosahedron as a basic structure unit. (16 words)
Construction This polyhedron can be constructed from an icosahedron with the 12 vertices truncated (cut off) such that one third of each edge is cut off at each of both ends. (31 words)
Indeed, intersecting such a system of equiangular lines with a Euclidean sphere centered at their common intersection yields the twelve vertices of a regular icosahedron as can easily be checked. (30 words)
Another classification uses the geometrical shape of their capsid (often a helix or an icosahedron ) or the virus's structure (e.g. presence or absence of a lipid envelope ). (29 words)
Example sentences (20)
A second straightforward construction of the icosahedron uses representation theory of the alternating group A 5 acting by direct isometries on the icosahedron.
An icosahedron is the three-dimensional game board for Icosagame, formerly known as the Ico Crystal Game.
An icosahedron is used in the board game Scattergories to choose a letter of the alphabet.
Another classification uses the geometrical shape of their capsid (often a helix or an icosahedron ) or the virus's structure (e.g. presence or absence of a lipid envelope ).
A regular icosahedron is a gyroelongated pentagonal bipyramid and a biaugmented pentagonal antiprism in any of six orientations.
As it turns out, the icosahedron occupies less of the sphere's volume (60.54%) than the dodecahedron (66.49%).
Construction This polyhedron can be constructed from an icosahedron with the 12 vertices truncated (cut off) such that one third of each edge is cut off at each of both ends.
Conversely, supposing the existence of a regular icosahedron, lines defined by its six pairs of opposite vertices form an equiangular system.
Earth was associated with the cube, air with the octahedron, water with the icosahedron, and fire with the tetrahedron.
Given an asymmetric subunit on a triangular face of a regular icosahedron, with three subunits per face 60 such subunits can be placed in an equivalent manner.
He also assembled convex polygons around star vertices to discover two more regular stars, the great icosahedron and great dodecahedron.
Indeed, intersecting such a system of equiangular lines with a Euclidean sphere centered at their common intersection yields the twelve vertices of a regular icosahedron as can easily be checked.
Many borides and allotropes of boron contain boron B 12 icosahedron as a basic structure unit.
Note the duality between the cube and the octahedron, and between the dodecahedron and the icosahedron.
Plato believed the shape of water is an icosahedron which accounts for why it is able to flow easily compared to the cube-shaped earth.
Prolate This is an icosahedron elongated along the fivefold axis and is a common arrangement of the heads of bacteriophages.
Some such shapes include the tetrahedron ( Pyraminx ), the octahedron ( Skewb Diamond ), the dodecahedron ( Megaminx ), the icosahedron ( Dogic ).
Stellations The icosahedron has a large number of stellations.
Summary Relationships among the regular polyhedra The small stellated dodecahedron and great icosahedron share the same vertices and edges.
The coordinates for the tetrahedron, icosahedron, and dodecahedron are given in two orientation sets, each containing half of the sign and position permutation of coordinates.
Common combinations with icosahedron
These word pairs occur most frequently in English texts:
- the icosahedron 10×
- regular icosahedron 8×
- an icosahedron 7×
- icosahedron is 5×
- icosahedron and 4×
- icosahedron with 2×
- great icosahedron 2×
- icosahedron as 2×
- icosahedron which 2×
- icosahedron has 2×