Project has many limitations for what your trying to do.
a)unlike wrap it deforms around the objects. making your lines longer and shorter as a projection would. Think of projecting a square on a towel which is out on you washing line. IF you were to measure the perimiter off the projection it would vary depending on how much the towel was scrunched up.
b)if u project something that goes past 1/2 the sphere it loops back.
that said. This looks like a interesting challenge
a)unlike wrap it deforms around the objects. making your lines longer and shorter as a projection would. Think of projecting a square on a towel which is out on you washing line. IF you were to measure the perimiter off the projection it would vary depending on how much the towel was scrunched up.
b)if u project something that goes past 1/2 the sphere it loops back.
that said. This looks like a interesting challenge