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
Therefore, we can transfer the previous equation:

whole line:red line   =    red line:purple line

for the ratio of the lines on the left square and the right square:

magneta line:red line(on LEFT square)   =    red line:purple line (on RIGHT square).
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