Pentagon
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In geometry, a pentagon is any five-sided polygon or 5-gon. The sum of the internal angles in a simple pentagon is 540°.
Pentagonal cross-section of okra.
Morning glories, like many other flowers, have a pentagonal shape.
Perigone tube of Rafflesia flower.
The gynoecium of an apple contains five carpels, arranged in a five-pointed star
Hexagon
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In geometry, a hexagon is a six-sided polygon. The total of the internal angles of any simple hexagon is 720°.
Pentagon
…knot by pulling the ends of the paper strip. Folding one of the ends back over the pentagon will reveal a pentagram when backlit. Construct a regular hexagon on stiff paper or card. Crease along the three diameters between opposite vertices. Cut from one vertex to the center to make an equilateral triangular…
Giant's Causeway closeup
The ideal crystalline structure of graphene is a hexagonal grid.
Assembled E-ELT mirror segments
A beehive honeycomb