z is up.
Units are relative to the dome radius.
vertex  1 at ( 0          0          1        )
vertex  2 at ( 0.525731   0          0.850651 )
vertex  3 at ( 0.16246    0.5        0.850651 )
vertex  4 at (-0.425325   0.309017   0.850651 )
vertex  5 at (-0.425325  -0.309017   0.850651 )
vertex  6 at ( 0.16246   -0.5        0.850651 )
vertex  7 at ( 0.688191   0.5        0.525731 )
vertex  8 at (-0.262866   0.809017   0.525731 )
vertex  9 at (-0.850651   0          0.525731 )
vertex 10 at (-0.262866  -0.809017   0.525731 )
vertex 11 at ( 0.688191  -0.5        0.525731 )
vertex 12 at ( 0.894427   0          0.447214 )
vertex 13 at ( 0.276393   0.850651   0.447214 )
vertex 14 at (-0.723607   0.525731   0.447214 )
vertex 15 at (-0.723607  -0.525731   0.447214 )
vertex 16 at ( 0.276393  -0.850651   0.447214 )
vertex 17 at ( 0.951057   0.309017   0        )
vertex 18 at ( 0.587785   0.809017   0        )
vertex 19 at ( 0          1          0        )
vertex 20 at (-0.587785   0.809017   0        )
vertex 21 at (-0.951057   0.309017   0        )
vertex 22 at (-0.951057  -0.309017   0        )
vertex 23 at (-0.587785  -0.809017   0        )
vertex 24 at ( 0         -1          0        )
vertex 25 at ( 0.587785  -0.809017   0        )
vertex 26 at ( 0.951057  -0.309017   0        )