Here is a spherical Smarandache curve, grafted on to the ElasticaSpherical script.
It is the vector sum P + T version. T+N and P + T + N version also work.
It is an experimental script at present.

Starting with a closed 4 cycle Spherical Elastica, the Smarandache curve does not quite close, even with 5000 points.
The two ends are like two cars going in opposite directions, about to pass each other.
So a small area was trimmed with a sphere, and a blend done.

- Brian