(1) SNORT. Call them CORDLESS STOVES. After all, they use fewer cords of wood, if any at all.
(2) Something to do with generations:
(2.1) First generation was some combustibles laying on the ground.
(2.2) Second generation had rocks around the combustibles, to contain the fire (too many cave fires from out of control attempts to heat caves (don't you hate combustible dirt?)).
(2.3) Third generation had more rocks, and the value of chimneys were discovered (better draft, exhaust).
(2.4) Fourth generation was fire places (all out with the rock thing, with a bit of mud and grass chinking tossed in?).
(2.5) Fifth generation was the insert for the fireplace.
(2.6) Sixth generation had insulated pipe chimneys, so the draft did not cool as quickly, exhausted better, and resulted in fewer cave chimney fires.
(2.7) Seventh generation stoves had catalytic converters, after a bunch of someone's figured out that smoke was polluting and wasted energy.
(2.

- (2.16) Generations eight through sixteen, which covered Russian stoves, soapstone stoves and so on with their huge or efficient mass, and all manner of other heating methods.
(2.17) - (2.27) Generations seventeen through generation twenty-seven, starting with the simple rocket heaters, like one might take out on camping trips, to burn leaves, twigs and, if on Everest, snow. Then moving to stoves with longer tunnels, insulated exhaust pipes, heat dumping pipes and mass, to, in the end, be used for heating, cooking and baking.
In the not too distant future, my money is on that there will be some new designs that use the [insulated] structure of the building for the mass (piping or tunnels in the walls), adding to the generations.
I GOT IT - GENAIR! Oh, wait, that's trademarked (sloppy fit aside).
I guess octagen suggests less than what has been and is. Variations? Duodecimal is indicated to be the twelve version. Vigesimal Generation is the twenty version. Numerical Representations for something in the twenty-five year generations would be, Roman numeral XXV, Binary: 11001, Hexadecimal: 19. . . .
What to do with hot air stoves and names. Balloon stove (hey, it's a rabbit trail thing).