Примеры использования A dodecahedron на Английском языке и их переводы на Русский язык
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How many sides has a dodecahedron?
A dodecahedron consists of twelve regular pentagons representing its faces.
The metal structure of the pendants, earrings andrings is made in a shape of a dodecahedron that reflects crystal structure of some gemstones.
A dodecahedron is with twelve pentagonal surfaces, twenty corners and thirty sides.
Although the algebra exists as a purely abstract construction,it can be most easily visualised in terms of operations on the edges and vertices of a dodecahedron.
Thus, a dodecahedron has 12 faces(pentagonal), 30 edges and 20 vertices 3 edges meet at each vertex.
Thus, in 2008 scientists managed to obtain a tetrahedron, a dodecahedron and a rhombicosidodecahedron consisting of specially built unispiral DNA threads.
We will imagine that we are this lizard chosen by heaven(the philosopher? the mathematician?)who had the privilege of being authorized to leave the page and climb onto a dodecahedron.
The dihedral angle of a dodecahedron is~116.6°, so it is impossible to fit 4 of them on an edge in Euclidean 3-space.
Remaining faithful to this principle, Ornella used as the basis of her new collection a geometrically correct polygon:the platonic body of a dodecahedron.
The modular curve X(5)is geometrically a dodecahedron with a cusp at the center of each polygonal face, which demonstrates the symmetry group.
When a cube consecutively revolves by 72 degrees according to a certain model,an icosahedron emerges which in turn makes a couple for a dodecahedron.
Via its juts a dodecahedron was pressed into a clay workpiece until its lower face touched the workpiece surface, thus the dodecahedron was solidly fixed in the workpiece.
Thus, the DNA double helix is built by the principle of double-sided equivalence:an icosahedron is followed by a dodecahedron, then comes an icosahedron again, and so on.
The dual of the ortho-form, triangular orthobicupola,is also a dodecahedron, similar to rhombic dodecahedron, but it has 6 trapezoid faces which alternate long and short edges around the circumference.
Geometrically, the Petersen graph is the graph formed by the vertices and edges of the hemi-dodecahedron,that is, a dodecahedron with opposite points, lines and faces identified together.
It is a dodecahedron, one of the eight deltahedra(convex polyhedra with equilateral triangle faces) and one of the 92 Johnson solids non-uniform convex polyhedra with regular faces.
These elements correspond with Platon bodies as follows: a tetrahedron as fire, a cube as the ground, an octahedron as air,icosahedra as water and a dodecahedron as ether, or a prana.
The supposed"engine" of the all-planetary mechanism,which forms symmetry of a dodecahedron crystal in the Earth's crust, has been thoroughly proved theoretically in the process of analysis of recent achievements in crystallography.
One of these lizards finds a means of escaping the plane and visiting our world: we see him at the bottom gradually gaining thickness, climbing up on a book,using a drafting tool as a bridge leading to a promontory in the form of a dodecahedron, before going back down and resuming a position in his flat world, enriched by his new experience like an explorer who has just discovered a new continent.
We are in three-dimensional space, we see objects such as a pot,a book, a dodecahedron, and our mission is to"show" these objects to the other lizards who can't see them because they are confined to a plane that they cannot leave.
This polyhedron is the truncation of the great dodecahedron: The truncated small stellated dodecahedron looks like a dodecahedron on the surface, but it has 24 faces, 12 pentagons from the truncated vertices and 12 overlapping as truncated pentagrams.
This polyhedron can be considered a rectified great dodecahedron.
The dodecahedron forms a planar cover of this nonplanar graph.
It shares its vertex arrangement with the regular dodecahedron, as well as being a stellation of a(smaller) dodecahedron.
In Dali's The Sacrament of the Last Supper(1955) Christ and his disciples are pictured inside a giant dodecahedron.
The high symmetry self-dual has chiral tetrahedral symmetry, and can be seen topologically by removing 4 of 20 vertices of a regular dodecahedron andis called a tetrahedrally diminished dodecahedron.
Hamilton himself used a flattened dodecahedron as the basis for his instructional game.
A regular dodecahedron has the same set of symmetries, since it is the dual of the icosahedron.
Hippasus from Metaponto unveiled the secret of rationality,proving that only irrational numbers can build a regular dodecahedron as a true visualization of the Universe.