Construction of a Pentagon on the cube Proof of Part I: Pentagon is Equilateral Proof of Part II: Pentagon is in One Plane Proof of Part III: Pentagon is Equiangular Proof of Part IV: Side of Dodec Form Apotome Construction of the Dodecahedron

Next, we will extend the light green line onto the center point of the sphere which comprehends the cube. And a part of the light green line (from the center point of the square to the center point of the sphere) is half of the side of the cube.

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