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위키데이터

• ID : Q1189295

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1. Their honeycomb cells, though still very regular, aren’t always hexagonal—sometimes pentagons and heptagons creep in.
2. But honeycombs are not made up of hexagonal prisms: the hidden end of the honeycomb cell is not flat.
3. The ridged wax honeycomb foundation pictured near the start mimics these rhombuses.
4. It was after this discovery that the long-standing two-dimensional honeycomb conjecture seemed less obviously true: a suggestion from Weaire is what nudged Hales to attempt his proof .
5. Honeybees have evolved over time to skillfully build hexagonal honeycomb cells.
6. Let’s investigate this question by first making some observations of a honeycomb.
7. so we can study the honeycomb’s overall appearance.
8. Beekeepers may remove the entire honeycomb to harvest honey.
9. If the honeycomb is too worn out, the wax can be reused in a number of ways, including making sheets of comb foundation with hexagonal pattern.
10. Two possible explanations exist as to why honeycomb is composed of hexagons, rather than any other shape.
11. Known in geometry as the honeycomb conjecture, this was given by Jan Brożek and proved much later by Thomas Hales.
12. Similarly, in a proper honeycomb, there must be no edges or vertices lying part way along the face of a neighbouring cell.
13. In particular, for every parallelepiped, copies can fill space, with the cubic honeycomb being special because it is the only regular honeycomb in ordinary (Euclidean) space.
14. A honeycomb is called regular if the group of isometries preserving the tiling acts transitively on flags, where a flag is a vertex lying on an edge lying on a face lying on a cell.
15. The tetrahedral-octahedral honeycomb and gyrated tetrahedral-octahedral honeycombs are generated by 3 or 2 positions of slab layer of cells, each alternating tetrahedra and octahedra.
16. , I compared the coefficient of variation of the honeycomb cells with that of the bees’ body parts.
17. Maybe a honeycomb built of hexagons can hold more honey.
18. It makes the wax that holds the honeycomb together.
19. Look at any YouTube version of bees building a honeycomb, says Alan, and you won't see a lot of bees lounging about, waiting for their turn to build a cell.
20. For bees to assemble a honeycomb the way bees actually do it, it's simpler for each cell to be exactly the same.
21. It would leave gaps in the honeycomb.
22. It takes the bees quite a bit of work to make the honeycomb.
23. Hexagons and honeycomb shapes are also useful for building things humans use, too, like bridges, airplanes, and cars.
24. Honeycomb structures are widely employed in several engineering applications owing to their desirable mechanical properties such as lightweight, high strength, and high energy absorption efficiency.
25. This implies that the honeycomb geometry in Fig.
26. In general, the term honeycomb is used to refer to a tessellation in dimensions for .
27. The only regular honeycomb in three dimensions is , which consists of eight cubes meeting at each polyhedron vertex.
28. Halfway last century it was predicted that atomic honeycomb structures have special electronic properties.
29. This has also sparked an interest in artificial honeycomb structures with length scales in the nanometer regime.
30. This thesis describes the quest to structurally resolve honeycomb systems, both on the atomic and on the nanometer scale.
31. The second half of the thesis deals with honeycomb structures prepared from semiconductor nanocrystals.
32. Thus, models of the 14 honeycomb structures (Fig. 1) for out-of-plane and in-plane load condition can be developed separately.
33. Manufacturing of the honeycomb-like structures is realized by a powder metallurgical processing route connected with a cold extrusion process, which can be divided in three main steps.
34. Comparison of simulation results and experimental data of square-celled honeycomb structure.
35. Cell walls in the center of the honeycomb are restricted to deform.
36. But the marvel of the geometry of the honeycomb has stayed alive in people’s imagination.
37. If the larger angle was 120°, the shape of the base would be flat, like manmade honeycomb structures such as cardboard panels.
38. This was quickly followed by two other revolutionary inventions: the centrifugal honey extractor and honeycomb foundation.
39. The solution was the manufacture of honeycomb foundation, sheets of pure beeswax imprinted with cell bases, that could be mounted in the wooden frames and reinforced with wire.
40. From these structures, a wide range of targeted effective material properties can be achieved thus supporting forward design-by-tailoring honeycomb cellular structures for specific applications.
41. One area that has not been fully explored is the set of acoustic properties of honeycomb and understanding of how designers can effectively tune designs in different frequency ranges.
42. This work explored the effect of geometry of in-plane honeycomb cores in sandwich panels on the acoustic properties the panel.
43. Constant mass honeycomb core models were studied with internal cell angles ranging in increments from −45 deg to +45 deg.
44. This project focuses on hexagonal shape that distributed to become a shelf inspired by honeycomb structure.
45. There are different man-made honeycomb structures with metal, polymer, and paper honeycomb cell geometry which provide minimum weight, least material content and minimal material cost.
46. Five 3 D woven honeycomb fabric samples with different cell sizes were produced using model-based construction parameters on a customized rapier weaving machine.
47. The model can be used as a tool to engineer woven honeycomb reinforcement architecture to produce lightweight structural composite materials.
48. One interesting question would be why the cells in the honeycomb are not circular as a circle has a better ratio, for the same perimeter, of perimeter to area than a hexagon.
49. In 3D, we introduce two honeycomb graphical models in which the voxels are hexagonal prisms, and we show that these are the only possible models under certain reasonable conditions.
50. This article gives a proof of the classical honeycomb conjecture: any partition of the plane into regions of equal area has perimeter at least that of the regular hexagonal honeycomb tiling.
51. In this paper, we report the first example of a 2D ternary oxide layer with a honeycomb geometry, which has been identified as FeWO.
52. Another interesting aspect of the honeycomb architecture can be encountered in ultrathin films of binary oxides, which expose polar surfaces in bulk crystals, such as, e.g., MgO(111) or ZnO(0001).
53. In a somewhat different perspective, the honeycomb lattice has been proposed to support topological insulator (TI) phases.
54. In ternary ABOoxides with the perovskite structure, the (111) plane can be viewed as a buckled honeycomb lattice, topologically equivalent to that of graphene.

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위키데이터

• ID : Q1189295

Spacy 패턴 목록

• [{'LEMMA': 'honeycomb'}]