Researching on the web does not yield much information. Some sites and books don't even agree on the everyday name of the more common type (left). I've heard some people call it "Shingle Vine" or "Shingle Plant" but I have yet to see an authoritative source confirm this.
A robust grower, the vine trails vertically without branching out, at least in my experience. I think most aroids behave like this, what books call "self-heading."
The leaves look like they cling to the wall (or to a tree in the wild), but surprisingly, they are not adhered as one initially imagines it to be. They're just uprightly flat and always evenly laid out.
Some months back, I visited the private garden of a native plant collector and I was astounded to see that he has another variety (right) with a beautiful texture and a richer hue. He sold to me a cutting and so far, has vigorously started to grow in my garden.