4.
               Aravind, P. K., ‘
How spherical are the Archimedean solids and their duals?’, 
The College Mathematics Journal, 
42 (
2011) pp. 
98–
107. The angle 
θ is called 
φ in this paper and expressions are given for it for all the Archimedean polyhedra in equations (7a-f).
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