The evolute of a tractrix meridian is known to be a catenary.. I wanted to search for the evolute of a pseudosphere meridian ( the catenary is a tractrix evolute special case ) as evolute superset of curves, but could not find any.
I formed a figure by erecting normals on special hyper pseudosphere meridian to get:
However am not sure if this shape is correct.. especially the jump of radius of curvature at some points and the meaning of self intersections.
Request for comments ( even qualitative it helps), and to point me to available literature sources... Thanks in advance.
Error in plot corrected.
Looking for references. Thanks.