We saw one when we were diving the airport fuel dock one night last February, just shy of three weeks after the full moon. Richard's description is apt. No close encounters, thankfully, but the full-moon correlation is a guideline, not a rule.
We were in Australia awhile back and met a diver who told us that she had survived a blue box jelly sting. Like dmaziuk said--pretty awful: As the tale went, she was put in an induced coma and was still screaming in pain. That animal is
Chironex fleckeri, and its literally-unparalleled toxicity is discussed in, e.g., this article from the
University of Michigan's Animal Diversity Web. Dozens of fatalities have resulted from encounters with it, and we saw Australian beaches with massive nets to create swimming areas free of
C. fleckeri. They are the largest box jelly, and can sport tentacles of up to 3m/10' long, and are in the family Chirodropidae. (I thinkmaybe all box jellies are in the same class, Cubozoa?)
The Bonaire animal,
Tamoya ohboya, is of the
Carybdeida family Tamoyidae. The three Hawaiian box-jelly species, according to the
Waikiki Aquarium, are all members of the family
Carybdea. (All four species, as well as
C. fleckeri, are in the same class, Cubuzoa). The Cubuzoans reportedly do not have anywhere near the toxicity of
C. fleckeri.
Bonaire and the Hawaiian islands do, however, apparently share closely-related species of box jelly; in Bonaire,
Alatina alata, which has global distribution, and in Hawaii,
Alatina moseri. The animals in Rich's terrific video appear to me to be clearly identifiable as
A. alata, rather than
T. oboya.
I say this because the
Bonaire banded box jellyfish is so-called because it has bands, or stripes, on its tentacles, which alternate brown and white. The box jellies in the video do not have the bands, and so I think it must be
A. alata (as as, I think, the one we saw last winter). Comparison with the Wikipedia photo of
A. alata, which actually comes from Bonaire, makes the identification pretty simple; perhaps it also explains the professor's opinion.
(Be gentle with me as you denibstrate my ignorance, folks)