1. A cube is a polyhedron.

2. Crystal shape fine, even, and polyhedron.

3. A polyhedron with eight plane surfaces.

4. A polyhedron with ten faces.

5. Modern enterprise is a polyhedron.

6. This thesis analyzed static behavior of plate polyhedron frame structures. The distribution rule of member internal forces was found by comparing with plate grid structures.

7. Anion coordination polyhedron growth unit theory mode was used to discuss the crystal habit of sapphire crystal.

8. FORTRAN program to generate random convex polyhedron aggregate based on the topology of spherical aggregates and the codes of the mesoscale structured finite element grids of concrete is developed.

9. The various connection modes between U-O polyhedron and inorganic oxygen acid allow uranyl compounds to be structurally very diverse.

10. Polygin polyhedron, and other complicated products, Especially in sports, medical, automobile,(/polyhedron.html) and electrical applications.

11. Positive form can be introduced into any polygon or polyhedron by regarding it as a closed skin subjected to internal expansion.

12. Finally, this thesis gives the definition of the rectilinear Steiner tree problem in more higher-dimensional space, and the corresponding structure of the minimum convex polyhedron.

13. The concrete method for deleting hidden line and the form of data structure which describes any polyhedron have been provided(), too.

14. The forming mechanism of natrolite has been illustrated by electronegative ion polyhedron of coordination growths unit theoretical model.

15. Recall that the optimal solution is always on one of the vertices of the polyhedron created by the feasible region.

16. This leads us to another contribution of Leonhard Euler to graph theory, namely Euler's polyhedron theorem or simply Euler's formula.

17. This paper presents a method to manufacture pipe elbows by hydro - bulging a tubular single - curvature polyhedron.

18. A novel microstrip slot antenna was presented here, which located on the arris of polyhedron and was fed by microstrip line inside the polyhedron.

19. Polyhedron - base Structure , which consists of space - filling polyhedron models, is a new type of space structure.

20. Then it is substituted in Burnside formula, all vertex - coloring formulas of the regular polyhedron are determined.

21. Comparing with traditional method, the result of measurement in this method contains influence of cooperated clearance between the regular polyhedron and the axle stand.

22. Based on the distance concept in this paper, potential function and balance function are introduced and used to measure the uniformity of points distributed in a general convex polyhedron.

23. Moreover, the boundary initialization of population is obtained by getting all the extreme points of the bounded convex polyhedron.

24. On the base of analysis classic methods, the morphologic addition algorithm for convex polyhedron is predigested to the morphologic addition of faces in polyhedron.

25. Using this result we prove in this paper that every contractible polyhedron is an absolute retract.

26. It also proposes a method to construct the convex polyhedron and compute its volume, and presents the mathematical basis of the method.

27. Simulation experimental results demonstrate this method can show the force character of convex polyhedron effectively.

28. NMR technology was used to research the silicon - oxide polyhedron structure in activated fly ash.

29. The processes of 3D buffer creation for point, line, face and convex polyhedron are introduced in detail in the paper.

30. Using the knowledge of abstract algebra, the rotation groups of the regular polyhedron are determined.

31. Starch granule of powder endosperm arranged loosely and showed a polyhedron shape.

32. The periodic table of elements is arranged based on a series of regular polyhedron.

33. This means that the feasible region consists of discrete points in space and, therefore, a relaxation in one of the constraints may or may not yield a better solution inside the new polyhedron.

34. According to the growth unit model of anion coordination polyhedron, the effects of KOH concentrations on the phase, particle size and morphology of nanopowder were investigated.

35. Furthermore, the growth mechanism has been explored using anion coordination polyhedron theory.

36. Floor-by-floor retractive tower body forms a glass polyhedron at the top of building shining in the dark night.

37. Five regular polyhedron solutions are given by analysing commonness of other special solutions of N - body problem.

38. Firstly, the paper introduces the application requirement of Global Grid System, discusses the basic element of regular polyhedron subdivision.

39. The approach represents a new use of principles of simplicial homology in the formation of polyhedron.

40. To erect ( such a configuration ) around a polygon or polyhedron.

41. The particles of the spinel oxides prepared in microwave field have very regular octahedron or polyhedron crystal morphology with well crystallization.

42. The three dimension parallel numerical computation of the wet-sieved concrete specimen was executed successfully to verify the program of random convex polyhedron aggregate.

43. The assembly objects were described with convex polyhedron. Geometric features of the assembly objects were analyzed.

44. In this paper, a new optimization method applicable to nonlinear constraint problems, the regular polyhedron method (RPM), is introduced.

45. A projective silhouette based method was proposed to reconstruct the shape of little convex polyhedron.

46. The Raman spectra of both of isomeric crystal and its melt show the vibration mode of the same isolated anionic coordination polyhedron.

47. Herein CaC 2 acted as reagent , but also as template for hollow polyhedron.

48. In plane cutting and stereo clipping methods, the 3D model is cut by plane or polyhedron. Lists of edge and vertex in every cut plane are established.

49. Because the integer solution may lie only on a boundary or within the polyhedron, the best-case scenario is to have an integer solution on a vertex.