So we wondered how many lines of unit length the same as the side of one of those triangles there are? If you remember this all started with a hexagon made out of six equilateral triangles.
In this case the hexagonal geometry is adopted because all of the carbons are sp2 hybridized. In the case of carbon, the only molecule that adopts a perfect hexagonal geometry in its ground state is benzene (and its derivatives that possess a 6-fold rotational axis). It is all about minimizing the energy of a molecule. Hexagonal packing also minimises the perimeter for a given area because of its 120-degree angles. Mathematically, the hexagon has 6 sides – what makes this particular shape so interesting is that the hexagonal shape best fills a plane with equal size units and leaves no wasted space. Nuts are the mechanical tools used in combination with bolts and washer to fasten two metallic pieces together.
One of the most common and naturally occurring examples of a hexagon is a honeycomb. Benzene, C6H6, is often drawn as a ring of six carbon atoms, with alternating double bonds and single bonds: This simple picture has some complications, however. Aromatic rings (also known as aromatic compounds or arenes) are hydrocarbons which contain benzene, or some other related ring structure.
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