Scientific approach to handling packaging problems

The dense packaging of objects has always been the object of study for physicists and mathematicians. As early as the 16th century famous astronomer J. Kepler proposed a hypothesis that the most compact packaging is a spherical packaging, and it can only be filled with success 74 %Space. It was not until 1998 that mathematicians rigorously demonstrated the assumption that a cubic lattice with spheres distributed within the cubic lattice is actually the densest packing.

Does this mean that the regular shape and periodicity of distribution are the guarantee of the maximum effect of full volume? Professor Polkkin of Princeton University in New Jersey, USA, doubted this point. He proposed a simple and delicate experiment that confirmed the rationality of his suspicions. He took a large spherical container and filled it with the same spheres (bearing balls) and the most complex geometry objects (oblate spheres and ellipsoids). As a result, it was found that the volume of the container was about 68-71% of the entire volume of the container, and the volume covered by the spheroid was about 74% of the entire volume of the container, in order to prove the irregularity of the distribution of the filled objects. Professor Chai Jin used the MRI scanning method for inspection.

Professor Chai Jin and his colleagues explained this surprising result that the oblate spheroids and ellipsoids move in different directions when they are packed, and that the spheroids can only rotate, so spheroids and ellipsoids can have more than other shapes. More contact points.

The discovery of American scientists can be applied in the most diverse fields. From the development of new ceramic materials to the study of containerized commodity methods, the cost of transporting goods can be greatly reduced.


Source: Science Window