3D particle Christmas tree with heart and snow
3D particle system
The tree is a particle cone: height h from 0 to H, radius r(h) = R (1 − h/H)^α so lower boughs are wide and the crown tapers. Eight spiral arms wrap the cone.
The topper is the classic heart curve x = 16 sin³ u, y = 13 cos u − 5 cos 2u − 2 cos 3u − cos 4u. Snow falls as z − vt; the ground is rings r = r₀ + nΔr with z = A sin(kr − ωt).