Here's a model plaited with a method derived from H. B. Meyer's.

It's the biggest model of this type that I've completed; sloppiness in the construction makes it one I'm not terribly proud of, but it was necessary as a stepping stone to the models plaited from thin strips.

Marked in pink are the edges of the triangulation I started with. The vertices were chosen at random, and then iteratively spaced apart to make a well behaved triangulation.

In yellow is the outline of part of a white paper strip. It goes under other strips half the time, surfacing half way across each triangular face.

Each color is a single logical strip, but it's hard to see this without turning the model around. Some of the white that's visible but not outlined is other portions of this same strip that have reappeared from the other side.

Let's show a thin line that goes along the middle of each strip handling overlaps correctly.

I haven't been able to draw them all, but the colors do (roughly) correspond.

Familiar?

(These two are actually mirror images in underlying structure, but I bet it's hard to see that from here.)