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10. Extend Your Thinking

Can you pack a cylinder with unit cubes without gaps or overlaps? Explain your thinking.

Sagot :

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Final answer:

Efficient packing of equal-sized spheres in three dimensions leads to either hexagonal or cubic close packed structures, involving layers of spheres aligned in a specific manner.


Explanation:

Close Packed Structures: When packing equal-sized spheres in three dimensions, stacking close-packed layers is the most efficient way, leading to either hexagonal or cubic close packed structures. For instance, in a cubic close packed structure, each sphere has 12 touching neighbors situated at the corners of a cube around it. Bravais lattices, essential in crystallography, describe how atoms are arranged in space, aiding in understanding unit cells and packing efficiency.


Learn more about Close packed structures here:

https://brainly.com/question/33223246


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