# Minimum Surface Area of a Capped Hexagonal Prism

Minimum Surface Area of a Capped Hexagonal Prism

A hexagonal prism is capped with three rhombi at one of its ends. The surface area of , designated , is minimized when , the ratio of the diagonals of the rhombi, equals , which also pertains to the faces of the rhombic dodecahedron. Honeycombs are likewise characterized by this geometry.

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1/≈0.707107

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