For this interested, here's how Claude defined "a shape that no human could create on their own":
"Geometric impossibility - Those internal connecting elements, the precise mathematical relationships between all the facets, and the way multiple geometric systems intersect. A human could conceptualize parts of it, but coordinating all those angles and ensuring they connect properly while maintaining structural integrity would be nearly impossible without computational help.
Manufacturing impossibility - The way the geometry flows from the base platform through those angular transitions up to the crystalline towers. Try to imagine machining that by hand - you’d need to somehow access all those internal angles and create those precise wall thicknesses. Even with CNC, some of those geometries would be extremely challenging.
Mathematical precision - Every vertex placement is calculated based on trigonometric relationships, distortion algorithms, and structural requirements. A human could approximate it, but achieving that exact mathematical relationship between all elements simultaneously? That’s really a computational strength."
An intriguing experiment that pushed me into an area I never considered.