I would like to calculate the closed form of the volume of the following solids:
- $U72$ (known as Small Retrosnub Icosicosidodecahedron) $\approx 0.2286299526 l^3$
- $U75$ (known as Great Dirhombicosidodecahedron) $\approx 0.7968034087l^3$
I tabulated the closed form of all other 73 uniform solids and of all 75 duals of uniform solids.
- Some were known values
- For some an equation was given in which one of the roots is the value of the volume
- For others I calculated them by hand through knowledge of the coordinates of the vertices
Unfortunately I'm having difficulty with these last two. It is not for research reasons or anything else, it is just out of curiosity since the values of the more complex solids are not reported anywhere.
This site can be useful because it gives the coordinates of the vertices:
Alternatively, does anyone know if these values are reported somewhere?