Another thought on this.......
A way to add a lot of strength and to stiffen the panels up considerably would be to imbed rebar into the EPS/XPS sheet.
Something like a grid of 8mm rebar - cut a series of grooves into the EPS sheet and then mix up an epoxy/filler paste (talc or micro fibre filler mixed with epoxy) and then lay down some epoxy paste into the groove then lay the 8mm rebar into the paste then fill the groove with the epoxy paste. Once that sets up it would add immense tension strength the EPS sheet. Much the same concept as steel in concrete - the concrete has a lot of compression strength and the steel adds a lot of tension strength. In this case the foam composite panel has compression strength and the imbedded rebar adds a lot of tension strength to resist deformation.
Further, if that rebar imbedded into the EPS was joined to rebar going up into the side panels and across into the euro brace then everything is tied together and set in epoxy.
If still more strength was needed then a 3 or 4mm sheet of plywood could be laminated onto each side of the EPS sheet in the layup. Its all classic composite foam panel construction.
Benefits to this construction approach is that the EPS foam can be sealed against water ingress by thinning the epoxy down by about 10-20% and brush that onto the EPS sheet so that the EPS sheet "drinks" the epoxy. When the epoxy sets the myriad of tiny channels around the EPS beads that the sheet is made up of are then filled and sealed with epoxy. It adds strength to the EPS and makes the EPS water proof as the Epoxy has now bound up all the channels/ micro voids in the EPS sheet. Unlike Plywood, this will never rot and/or soak up water. Much much much lighter Vs plywood.
if you think about it, all a plywood aquarium is, is a box built of plywood as a stay in place form that is then laminated with a resin (or some other type or water proofing medium). The absolute best resin for plywood is Epoxy. Polyester resin is just not a great resin for wood in general as the adhesion is not that great. You can get loads of insight into this topic by reading yachting forums. Many home builders of yachts have tested everything out there.
So if we can make the EPS sheets stiff enough and with enough strength by various ways (thick foam core to keep the epoxy glass layups on either side further apart, ie, the I beam principle and imbedding rebar into the EPS sheet, ie, the steel in concrete principal) and then join the panels with an epoxy glass layup within the chemical bonding window you would have a light weight box of immense strength that cant absorb water and will never rot and gives a pretty impressive amount of insulation.
I have been thinking about this for some time. I cant see why it wouldnt work. I am sure others would see it differently, so please tell me why you think it will not work ?