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A convex polyhedron has 20 vertices and each of its faces is a pentagon.

一个凸多面体的每个面都是五边形。若它有20个顶点,它有多少条边?

I-1 n 2 i for the problem of shortest path amidst a fixed number of convex polyhedral obstacles.

在包含一组相互分离凸多面体的三维空间中为任意两点寻找最短路的问题是个NP问题[2]。

The segmentation problem is still unsolved even for simple scenes containing only polyhedral objects.

即使是对仅仅包含多面体的场景,分割问题也没有完全解决。

All isotropic constants of regular polyhedron in a three dimensional space are given in this paper. The result shows that the guess is right in a three dimensional space.

给出了在三维空间中全部正多面体的迷向常数的数值,从而说明这一猜测对三维空间中的正多面体是正确的。

The beads can be spherical or chips or faceted in nature as long as they are not dyed.

矿石珠可以是球形或小块或多面体的,只要没有染色。

The experimental evidence has shown that the polygonal Co particles are the final form. We found that Co formed nanocrystallites of 2-5 nm in diameter in the surface coating layer of the Mg_2SiO_4 crystalline stems and then aggregate into large clusters. These clusters further grow and recrystallize into polygonal single crystals. Instead of the single crystals, it is the polycrystalline clusters that played the most important role in Mg_2SiO_4 growth.c.

b。实验中观察到的现象表明多面体的Co颗粒并不是一开始就形成的,而是首先在Mg_2SiO_4的枝干表面以2-5nm的纳米晶体聚集成较大的团簇,这些团簇再继续生长并在最后重结晶为多面体的形状。

It is set forth that the symmetry of coordination anions in crystals is coincident with that of morphology if the boundaries of unit cell are divided with the faces,edges and angles of anionic coordination polyhedrons.

提出晶胞界线是以负离子配位多面体的面、棱和角为界面而划分的;晶体中负离子配位多面体的对称性与晶体形态的对称性是对应一致的。

By transforming the three direction DEXEL model of polyhedrons into its VOXEL model,the complex attributes of a volume are expressed.

多面体的三向DEXEL模型转换为小体素模型,实现复杂属性体建模。

Since the vertices of the simplex and the polyhedrons on the slices could directly be determined by the formulas, and the intervals of the variables in the polyhedrons on the slices were narrower, the algorithm was convenient and efficient.

由于单纯形和片上凸多面体的极顶点可以直接通过公式计算,且变量在片上凸多面体上的取值区间更窄,改进的定界阻止算法既方便又高效,这得到了一些经典算例和随机产生的算例的验证。

Based on the theory mentioned above we present a algorithm to decide if the intersection of two convex polyhedra is empty.

当限制在一个凸多面体的一个面上处理问题时就需要确定另一个凸多面体在这个面上的限制是否为空的问题,这样就要用到向量定位算法。

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