http://www.f-lohmueller.de/pov_tut/geo/geom_800e.htm



Radius of circumsphere (vertices):

Rc = a / 4 * sqrt( 58 + 18*sqrt(5));


Radius of edgesphere (tangent to edges):

Re = 3/4 * a * ( 1 + sqrt(5) );


Angle between hexagon and hexagon: ~138,2°

HH_Angle = 

degrees(acos(-1/3*sqrt(5)));


Angle between hexagon and pentagon: ~142,6°

HP_Angle = 

degrees(acos(-sqrt((5+2*sqrt(5))/15)));



180 - 138.2 = 41.8


Dus aansluithoek voor hexa = 20.9


HP = 42,6


180 - 142.6 = 37.4


37.4 - 20.9 =  16.5



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