Euclid's Construction of a Regular Dodecahedron (XIII.17)

Let and be the centers of the two adjacent cube faces and with common side , and let , , , and be the midpoints of , , , and .
, , and are points that satisfy the golden section conditions , , and .
and are perpendicular to , is perpendicular to , and .
is one face of a regular dodecahedron.
The other faces are constructed in the same way.

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