A seal that can write long letters

I made a seal that I could roll and write. There are already things such
as a thing that stamps by rotating rubber like a caterpillar with a rotating part, or something like a cylindrical thing with a cat’s footprint instead of a long sentence, but they
need another part or can only stamp characters around the circumference of the cylinder. The resulting object is an o

This object without separate parts, and can stamp relatively long characters. I tried to be able t
o stamp characters for a long time by placing characters in a spiral shape in the axial direction. In addition,
if it is simply cylindrical shape, it cannot be printed in one column, so do you spiral in the axial direction? By making it a shape, only one column can be printed.