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A regular hexagon has all sides the same length and all internal angles are 120°.
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| Honeycomb | 
Bee's use the hexagon in their hives because it allows the most efficient use of space. Circles in a grid create spaces, and no polygon with more than six sides will be interlocking.
| Octagonal patio | 
This is the patio that I am currently building at my house.  It is in multiples of 8 - 16'x 16' with an 8' diameter octagon.  When it is complete the cut out spaces will have planters with a bench spanning it and a 10' tall metal circle on wooden posts over the top.

