The diagonals of the rhombs have these lengths:

• 1
• ${\displaystyle \varphi \approx 1.618}$   (golden ratio)
• ${\displaystyle \varphi ^{3}\approx 4.236}$
• ${\displaystyle \varphi ^{4}\approx 6.854}$

A square with side length ${\displaystyle \varphi ^{2}\approx 2.618}$ has its points on the edges of the big rhomb and on the elongated edges of the two other rhombs.

Convex, medial and great rhombic triacontahedron with the same face centers (shown with pyritohedral symmetry)