I have a pink and a yellow one!
Since I only pay attention to the big ones, do you have any clue if they can bud from anywhere, or just from the nodes?
Mine are getting leggy and although they're in a dish one can bathe in, I'd like to cut them back real hard.
Just from nodes, but there are usually several short internodes near the root-collar. They tend to become hard to see after a couple of years, but can be found by looking for a bump or bud-like bumps in the bark. Sometimes they will resprout from the root-collar. I think that is how I ended up with this triple trunk . I'm not certain of this, but cut down a big tree and one gets a profusion of new shoots.
That 'funny' spot about half-way up the middle stem is probably a bud. You can see that I 'chopped' the right stem last year - it had small leaves with short petioles. Then it became a big terminal bud. Those sheath bits will fall away in a few weeks, exposing little buds on close-set node rings.
I just dug another one out of my yard (squirrels plant them from the mother tree about a block away) that might show this a bit better. Just above the top wrap of wire you can see the close node rings with small buds.
Below, about the middle of the stem, you can see a lonely bud. Cutting between the two sets will release the lower bud, but one won't get anything along the remaining stem above it. Cutting just above the set of node rings will release one or more of them. It is difficult to slice the stem between the node rings, so I really can't say much about them. The new growth from lateral buds produces shorter internodes and leaves, but next year it will be topped with a large terminal bud.
The last detail is that, for me, they don't respond to pruning after the summer solstice.