例句與造句

1. For every regular polytope there exists an orthogonal projection onto a plane such that one Petrie polygon becomes a regular polygon with the remainder of the projection interior to it.
2. Another related symbol is the Coxeter-Dynkin diagram which represents a symmetry group with no rings, and the represents regular polytope or tessellation with a ring on the first node.
3. The 24-cell is the only regular polytope in more than two dimensions where you can traverse a great circle purely through opposing vertices ( and the interior ) of each cell.
4. Seven articles were de-featured last week : LSD, Central processing unit, History of Central Asia, English poetry, Regular polytope, WGA screenwriting credit system, and Battle of Leyte Gulf.
5. This is because of an important theorem in the study of abstract regular polytopes, providing a technique that allows the abstract regular polytope to be constructed from its symmetry group in a standard and straightforward manner.
6. It's difficult to find regular polytope in a sentence. 用regular polytope造句挺難的
7. The " expansion " operation is symmetric with respect to a regular polytope and its facets of both the regular and its dual, along with various prismatic facets filling the gaps created between intermediate dimensional elements.
8. In addition, the symmetry of a regular polytope or tessellation is expressed as a Coxeter group, which Coxeter expressed identically to the Schl鋐li symbol, except delimiting by square brackets, a notation that is called Coxeter notation.
9. Since the dual polytope of a regular polytope is also regular and represented by the Schl鋐li symbol indices reversed, it is easy to see the dual of the " vertex figure " is the cell of the dual polytope.
10. He also showed that, of all convex polytopes of given surface area that are equivalent to a given Platonic solid ( e . g . a tetrahedron or a octahedron ), a regular polytope always has the largest possible volume.
11. In geometry, "'runcination "'is an operation that cuts a regular polytope ( or honeycomb ) simultaneously along the faces, edges and vertices, creating new facets in place of the original face, edge, and vertex centers.
12. For any regular polytope the symmetry group ( here a complex reflection group, called a Shephard group ) acts transitively on the flags, that is, on the nested sequences of a point contained in a line contained in a plane and so on.
13. A special kind of truncation, usually implied, is a "'uniform truncation "', a truncation operator applied to a regular polyhedron ( or regular polytope ) which creates a resulting uniform polyhedron ( uniform polytope ) with equal edge lengths.
14. A "'van Oss polygon "'is a regular polygon in the plane ( real plane \ mathbb { R } ^ 2, or unitary plane \ mathbb { C } ^ 2 ) in which both an edge and the centroid of a regular polytope lie, and formed of elements of the polytope.
15. The "'cross polytope "'family is one of three regular polytope families, labeled by Coxeter as " ? n ", the other two being the hypercube family, labeled as " ? n ", and the infinite tessellations of hypercubes, he labeled as " ? n ".
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