Hi, I think the technical analysis is that there are a total of 10 strokes per 1 complete cycle (2 crank revolutions) on a real 5-stroke engine. But if you count this engine, I think there are 4-strokes in a primary cylinder, with an extra 2-strokes of the secondary cylinder appropriate to the primary cylinder, associated with each combustion charge. Therefore I would call this a 6 stroke engine. I have seen this engine schematic on u-TUBE, but can't recall how I searched and found it. I think Peter is correct in that some manufacturers have investigated this configuration historically.
But one of the things I learned working for a car maker, was that if it would make money we would do it, otherwise we wouldn't invest in developing it. This engine may appear thermodynamicallying efficient. But as we live in a world of regulation, where we practice making muck then cleaning it up afterwards, the exhaust on today's vehicles is required to be hot, so to set the catalysts working that clean-up exhaust emissions. In this engine, I understand the second expansion will cool the exhaust so the CO will cease to burn, so it will need an external heat source to re-heat the gas to above 350 degrees C so the CO will burn to CO2. This in turn needs the catalyst to be heated over 650 C to get it to ignite the CO. The same argument applies to Hydro-carbons. If the primary cylinders run over 90 then the Nitrous oxides will be formed in nasty quantities, thus requiring NOx after-treatment. But I guess as a model none of that will be needed so this is purely academic.
I interesting thread!
Enjoy.