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
Using the special construction of a pentagon situated on the 2 sides of the cube, we can duplicate this piece to construct an entire dodecahedron.
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