Trajectoids.

Draw a periodic path; the solver finds the sphere whose rolling trace closes after two periods, then carves the solid that rolls your line.

Path — one period

Or draw your own, left to right. Ghosts show the neighbouring periods.

Closure scan

Rolling radius r
Turns per period
Closure error

Solving…

Closure error (log scale) across turns per period, for the chosen closure period — longer periods wrap the trace more times before it bites its own tail. Each dot is a radius where the trace closes; click one to carve that body instead.

Body

1.25
0.16 T/s