Examples of using Polyhedron in English and their translations into Vietnamese
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A highly divided Goldberg polyhedron: the dual of the above image.
A three-dimensional solidbounded exclusively by flat faces is a polyhedron.
Light Toys for gift oflotus LED lights is use of polyhedron crystal structure design, so that the lighting effect is better.
Its dual polyhedron is the great stellated dodecahedron{5/2, 3}, having three regular star pentagonal faces around each vertex.
Pastoral and political activity alike seek to gather in this polyhedron the best of each.
Crystal Lotus LED light gifts with polyhedron crystal structure design, so the lighting effect is better than the normal one.
In other words, if you count the number of edges,faces and vertices of any polyhedron, you will find that F+ V= E+.
Therefore, proving Euler's formula for the polyhedron reduces to proving V- E+ F =1 for this deformed, planar object.
Since each of the two above transformation steps preserved this quantity, we have shown V- E+ F= 1 for the deformed, planar object thus demonstrating V-E+ F= 2 for the polyhedron.
Stellation is the process of extending the faces or edges of a polyhedron until they meet to form a new polyhedron.
Needless to say, this so-called“polyhedron”, issuing from Francis' lips, seems to have esoteric insinuation and to smell of New Age.
The Schlegel diagramis a projection of that skeleton onto one of the faces of the polyhedron, through a point just outside that face;
Take our advice: go to the rooftop of Rem Koolhaas's polyhedron building and enjoy the view over the city from a different perspective.
For example, at one stage in his life, Johannes Kepler believed that the proportions of the orbits of the then-known planets in the Solar System have been arranged by God to correspond to a concentric arrangement of the five Platonic solids,each orbit lying on the circumsphere of one polyhedron and the insphere of another.
The satellite issimilar in shape to a symmetrical 72 faced polyhedron, had a mass of 173 kg(381 lb), and had a diameter of approximately one meter(39 in).
In geometry,a diagonal is a line segment joining two vertices of a polygon or polyhedron, when those vertices are not on the same edge.
In geometry, an edge is a particular type ofline segment joining two vertices in a polygon, polyhedron, or higher-dimensional polytope.[1] In a polygon, an edge is a line segment on the boundary,[2] and is often called a side.
Protein structures are usually determined from either 2-dimensional crystals(sheets orhelices), polyhedrons such as viral capsids, or dispersed individual proteins.
Polyhedra Have“Many Faces”.
Chapters 1 and 2 of The Harmony of the Worldcontain most of Kepler's contributions concerning polyhedra.
Another of his conjectures, one concerning the relation of two polyhedra of equal volume, was solved in the same year he announced it by his student Max Dehn.
After failing to find a unique arrangement of polygons that fit known astronomical observations(even with extra planets added to the system),Kepler began experimenting with 3-dimensional polyhedra.
Geometry as a branch of mathematics has such objects as hexagons, points, lines, triangles, circles,spheres, polyhedra, topological spaces and manifolds.
The treatises by Archimedes known to exist only through references in the works of other authors are:On Sphere-Making and a work on polyhedra mentioned by Pappus of Alexandria;
If nothing else, Schein's work will invoke mathematicians to find other interesting geometric shapes,now that equilateral convex polyhedra may have been done with.
Models consistent with these measurements show the melt to consist mainly of UO6 and UO7 polyhedral units,where roughly 2⁄3 of the connections between polyhedra are corner sharing and 1⁄3 are edge sharing.
Following an approach to cubulation pioneered in 2003 by Michah Sageev, now at the Technion in Haifa, Israel, Wise and Bergeron started by taking a huge collection of Kahn-Markovic surfaces-enough to divide the three-manifold into compact polyhedra.
She has designed many modular boxes and containers, kusudama, paper toys, masks,and modular polyhedra and other geometric objects, and is one of the most prolific origami authors in the world, with many publications in Japanese, Korean and English.
In anhydrous zinc acetate the zinc is coordinated to four oxygen atoms to give a tetrahedral environment,these tetrahedral polyhedra are then interconnected by acetate ligands to give a range of polymeric structures.[1][2][3] In contrast, most metal diacetates feature metals in octahedral coordination with bidentate acetate groups.
Upon melting, the measured average U-O coordination reduces from 8 in the crystalline solid(UO8 cubes), down to 6.7±0.5(at 3270 K) in the melt.[3] Models consistent with these measurements show the melt to consist mainly of UO6 and UO7 polyhedral units,where roughly 2⁄3 of the connections between polyhedra are corner sharing and 1⁄3 are edge sharing.[3].