My friend finished making dodecahedrons, and her next project is to make regular icosahedrons (20-sided dice). Again she wants to know: what is the dihedral angle between any two adjacent faces?
Perhaps this can be solved without the use of spherical trig? ;P
Sorry, I posted a wrong solution, but the real one to this problem is:
Angle=360-ArcSin[1/(√3*Tan[36])]-ArcTan[Sin[63.434948823/2]/(Tan[36]-Sin[63.434948823/2]*√(3*Tan[36]²-1))]
Angle=138.189685105
Where again is used the angle 63.434948823
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Posted by Antonio
on 2003-08-21 21:47:11 |
My last solution is wrong this is the real one
