(A) Spherical structures enclose the greatest volume with least surface.
(B) Geodesic spherical structures, which are inherently omnitriangularly framed entirely of great-circle chords, give the strongest structure per weight of materials employed.
(C) Amongst the geodesic great-circle spherical structures, those based on the discontinuous compression, continuous tension-"tensegrity"- icosahedra give the most environmental enclosure per pound and volume of material employed.
(D) Every time the linear dimension of a symmetrical structure is doubled (i.e. I - 2) the surface area of the enclosure increases at a two to the second-power rate (i.e., 2'), while the environment-controlling structure's volume increases at a two to the third-power rate (i.e., 21).Wherefore, every time a geodesic dome's diameter is doubled, it has eight times as many contained molecules of atmosphere but only four times as much enclosing shell - ergo, each progressive doubling of dome diameters halves the amount of enclosing surface through which each molecule of interior atmosphere may either gain or lose energy as heat. (See "Old Man River's City" project, pp. 315-23.) Whole cities are most efficiently enclosed under one large dome.
(E) Every time we enclose a geodesic dome within a greater-diametered geodesic dome whose radially concentric interspacing is greater than the depth of the frost penetration of that area, while at the same time avoiding use of any metal interconnections between the inner and outer domes' structuring, the heat losses and gains of the innermost domes are halved in respect to those of non-domed-over domes of the same dimensions.
(F) If in producing the geodesic domes-within-domes we make them transparent or translucent on their sunny side and opaque and inwardly re-entrap progressively greater amounts of Sun energy as heat for longer and greater periods of time as the diameters are increased. (209, 210)
(G) If growing vegetation - i.e., trees, vegetables, corn, sugar, ground cover, etc. - is planted within the dome, the photosynthetic conversion of Sun radiation into hydrocarbon molecules will chemically and simultaneously (1) convert the monoxide gases given off by human occupation into human-supporting (air) atmosphere, thus eliminating all necessity for windows or air conditioning apparatus, and (2) harvest hydrocarbon molecule-trapped energy as food or as fuel-alcohol energy.
(H) If the wind drag of buildings is employed to turbine-convert wind-power into tank-stored compressed air, the latter may be stored within the space between the inner and outer domes skins as low-pressure atmosphere in quantities adequate to pneumatically and evenly distribute any concentrated outer cover loadings throughout all the tensional components of teh geodesic-tenesegrity structures.
(I) As the Suns radiation is outwardly and diffusingly reflected by the dome structure's convex outer surface, vertical thermal-column movements of the Sun-heated outside atmosphere develop, which spirally rising columns of heated atmosphere will draw air out from under the dome's large lower-edge summertime openings, which voluminous outward drafting in turn pulls air into the dome through the small crosssectioned ventilators at the dome's apex. This pressure differential between the small air entry and large exhaust openings produces the Bernoulli chilling effect, which in hot weather will swiftly cool the dome's interior atmosphere. World Game has proven this in geodesic domes at the African equator. (210, 211)
(J) It is clearly demonstrable that the conversion of windpower by dome-within-dome, drag-operated air turbines will power the compressing and tank storage of air and will thus produce ample power to operate a pneumatic-tool system for all mechanical operating needs within the dome. Pneumatic tools avoid the human- electrocution perils of electrically operated domestic technology. (211, 212)
(K) Sum-totally it is now demonstrable that properly designed domes within domes become energy-harvesting machines that provide more energy than is needed for the high-standard life support of their human occupants, wherefore such dwelling machines may become exporters of energy in variously stored and controlled forms, such as alcohol. (212)
(L) It has been satisfactorily demonstrated that the reflective, concave inner surface of the geodesic, dome-within-dome, environment-controlling shells will act as parabolic, Sun-radiation concentrators, focusing the Sun radiation income into heating of a circularly arced, liquid-containing pipe, whereby the Sun's heat may be stored liquidly in vacuumenclosed subterranean tanks for subsequent use in a variety of ways. The by-product heat from the air compressing is used to heat water stored in the same reservoir. (212)
(M) World Game's design science treats the tensegrity-structured, dome-within-dome geodesic environment controls as comprehensive energy-harvesting, -storing, and -exchanging devices. Typically, the vegetation most efficiently employed includes the growth of corn and the "winged bean" in the sunlight area and mushrooms in t he hot, dark areas.
(N) Radiotelephones and income-energy generators render the dwelling machine semiautonomous.
(0) Two sanitary devices as described earlier render the environment controls independent of water-supply lines and sewage-carry-away systems: (1) the fog gun for cleaning the human skin and all other surfaces with a high-pressure air gun into whose airstream small amounts of atomized water are fed; (2) the carton packaging and mechanized, convey-away system of human wastes to be delivered to elsewhere-located fertilizer or gasgenerating works or to anaerobic methane gas and dry fertilizergenerating equipment of the dwelling machines themselves. These two devices eliminate all wet plumbing, which has been responsible for breeding most of all the infectious bacteria heretofore entering human abodes, while also eliminating the infectious splashback feature of water-filled bowls and their water-flushed toilets. (212)
1. Reliably operative and subconsciously sustaining, effectively available twenty-four hours a day, anywhere in the Universe: gravity, love.
2. Available only within ten miles of the surface of the Earth in sufficient quantity to conduct sound: i.e., the complex of atmospheric gases whose Sun-induced expansion on the sunny side and shadow-side-of-the-world-induced contraction together produce the world's winds, which in turn produce all the world's waves.
3. Available in sufficient quantity to sustain human life only within two miles above planet Earth's spherical surface: oxygen.
4. Available aboard our planet only during the day: sunlight.
5. Not everywhere or everywhen available: water, food, clothing, shelter, vision, initiative, friendliness.
6. Only partially available for individual human consumption, being also required for industrial production: e.g., water.
7. Not publicly available because used entirely by industry: e.g., helium.
8. Not available to industry because used entirely by scientific laboratories: e.g., moon rocks.
When Earth's last picture is painted, And the tubes are all twisted and dried, The oldest of colors have faded And the youngest of critics have died, We shall rest And well shall we need to Lie down for an eon or two 'Til the master of all good workmen Shall put us to work anew. Then only the master shall praise us, And only the master shall blame, No one will work for money, And no one will work for fame.