The original design competition was for a Eupatorus gracilicornis beetle, which makes a good subject for origami because of its large number of hornlike protrusions. ( See here for some examples of the real thing.)
Although 3 of us originally agreed to take on this subject, Daniel Robinson was otherwise occupied, so only Satoshi Kamiya and I came up with entries, both of which you can see here.

Satoshi Kamiya’s Eupatorus gracilicornis, oblique view. Photo courtesy of Satoshi Kamiya.

My Eupatorus gracilicornis, oblique view.

Satoshi Kamiya’s Eupatorus gracilicornis, top view. Photo courtesy of Satoshi Kamiya.

My Eupatorus gracilicornis, top view.