Trying the world peach polyhedron again

I am trying this world peach polyhedron again.

The polygon has 30 points

polygon(50% 0%,77.87% 8.49%, 86.09% 15.39%, 93.12% 24.7%, 97.1% 33.23%, 98.9% 39.6%, 99.72% 44.72%, 99.99% 50.43%, 99.69% 55.55%, 98.8% 60.86%, 97.38% 65.97%, 93.27% 75.05%, 88.04% 82.44%, 80.8% 89.38%, 71.67% 95.06%, 50% 100%, 28.33% 95.06%, 19.2% 89.38%, 11.96% 82.44%, 6.72% 75.05%, 2.61% 65.97%, 1.2% 60.86%, 0.31% 55.55%, 0% 50.43%, 0.28% 44.72%, 1.1% 39.6%, 2.89% 33.23%, 6.88% 24.7%, 13.9% 15.39%, 22.13% 8.49%)