I understand that one of the principle reasons the costs of catamarans is high related to the obvious ie there are two hulls. In the nature of any hull has to be the inherent strength by way of its shape to hold it shape and secondly retain attachments or resist separation of attachments like the keel, rudder, mast, engine, bulkheads. Not only do catamaran have over mono-hulls the spread of the load but especially when it comes to keels they mostly do without them stability being the mutual out-rigging of the other. If the underwater surface offers some directional form this too is a bonus .
I contend the reversed tear-drop form made in the single sheet manner I have described does this well as a mono hull but for the hulls of catamarans there can be another notable bonus. If the hull topsides are rotated inwards so as to make the outer sides nigh on vertical the increase in the free-board offered remarkable and with this rotation outwards of the bottom of the hull so too and significant increase in the boats stability. Of course the free-board of the inner sides is correspondingly reduced. This gunwales of these side now form the margins of the connecting pan like floor that will join them.
The deck is made from the 'roofing' that connects the outer gunwales.
The space that has been generated from doing this is quite staggering and all still without any intrusion of structures above the deck - pure central living space.
Geometrically the cross-section along its length is an isosceles trapezium (trapezoid in USA). Therein are inherent triangular derivatives that offer great strength here especially from the distance in height from the floor to the ceiling (deck).
In terms of offering a site for suspending a keel, fixed or lifting, placing the engine, chain lockers and workspace it is perfect aft wise and forward great for a mutual below deck dining and galley with immediate access to the hull containing the cabins, showers and heads. or otherwise it is perfect.
An above deck cabin and wheel house is easy to install between bulkhead and thus without structurally affecting the hull.
The internal rotation of the hulls means the forward 'flatness' of the sole become some v shaped offering more directional stability.
In the diagram I have treated each pair of hull identically by adding the two deck options and the two floor options . In each pair I have shown the inner side of the hull cut down to bring the floor down .
Even if this is not done in the lower pair the shaded area represents the gain over the upper pair and this is a feather off one and half times the cross section of one hull and this is without the curvature of the deck added in. Indeed a great increase in space and hopefully the movement of buoyancy outermost.