How to create a non-standard platonic?

[Brian Jones]

sphere or hemisphere makes no real difference I think.

[Jim Scott]

Thanks for the detailed steps Brian.

[Brian Jones]

I don’t think so, to get that to be spherical would involve stretching the polys to get them to match to the reference sphere in my example file.
Do the faces need to be flat? You could just project that texture (the example image, cleaned up I assume) onto a sphere

[Scyld]

that’s what i figured. they want a rotating faceted sphere whose end frame matches that 2D graphic. but i guess i’m trying to achieve the un-achievable – this what happens when your clients design a 3D object in 2D and you are at the end of the food chain… retrofitting.

anyway, many thanks for your help as always brian.