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A regular octahedron is a three-dimensional shape with eight identical equilateral triangle faces. It has 6 vertices, 12 edges and 8 faces. **Mathematical formulas**: Volume of an octahedron: V = (⅓ ∙ √2) ∙ a³ Surface area of an octahedron: A = a² ∙ 2 ∙ √3
