DETAILED DESCRIPTION OF THE DRAWINGS
The present invention relates to inhabitable space frames.  Elements of the invention are
illustrated in concise outline form in the drawings, showing only those specific details that
are necessary to understanding the embodiments of the present invention, but so as not
to clutter the disclosure with excessive detail that will be obvious to those of ordinary skill
in the art in light of the present description.

In this patent specification, adjectives such as first and second, left and right, top and
bottom, etc., are used solely to define one element or method step from another element
or method step without necessarily requiring a specific relative position or sequence that
is described by the adjectives. Words such as “comprises” or “includes” are not used to
define an exclusive set of elements or method steps.  Rather, such words merely define a
minimum set of elements or method steps included in a particular embodiment of the
present invention.

FIGS. 1-6 illustrate a basic geometry of a square pyramid inhabitable space frame 100 in
the form of four sides supporting each other, each a three-module long space frame side,
or “segment”, sloping at 45° to the horizontal, according to some embodiments of the
present invention.

Referring to
FIG. 1, a diagram illustrates a front
perspective view of the inhabitable space frame
100.  The space frame 100 comprises a vector
matrix of strut members 105 that defines a plurality
of interconnected basic tetrahedral modules 110.  
The vector matrix of strut members 105 also
defines a plurality of prime octahedral modules
115.  Each prime octahedral module 115 is
adjacent to at least two of the basic tetrahedral
modules 110.

The basic tetrahedral modules 110 and the prime
octahedral modules 115 thus define inhabitable
living space around the perimeter of the space
frame 100.  Depending on scale, such inhabitable living space can be subdivided into
living spaces such as apartments, atriums, and other conventional hexahedral spaces.  
The entire space frame 100 is then supported with seismic isolators on footings 120.

Referring to
FIG. 2, a diagram illustrates a front
elevation view of the inhabitable space frame 100.  
Preferably, each of the strut members 105 is of
one of only four discrete lengths or “dimensions”,
labeled s, x, y and z (where the strut members
105 having a length y are shown in the horizontal
plane of FIG. 1).  Thus the entire space frame 100
can be constructed from strut members 105 that
are prefabricated at only four discrete lengths
s, x, y and z.   The technology of the present
invention thus can be used to fabricate large
buildings having inhabitable “four-dimensional
space”, which can add quality, excitement and
profitability to modern architecture.

For example, the space frame 100 may define an apartment complex having inhabitable
modules of a length l = 100 feet, a width w = 50 feet, and a height h = 50 feet.  Such a
space frame 100 can be constructed from a plurality of strut members 105 that have only
four discrete lengths, defined as:  s = 86.6 feet, x = 100 feet, y = 70.7 feet, and z = 50 feet,
approximately, measured between node centers at specified temperatures to allow for
thermal expansion and contraction. After the foundations and seismic isolators have
been constructed and approved on-site, and the crew, equipment, and modular strut
members and nodes have arrived, optimally it is erected and performs as programmed.  
Inhabitable space (real estate) is thus created with a pre-agreed, programmable,
predictable process. The above dimensions are provided as examples for ease of
calculating possible spans with known technologies, volumes, areas and costs; differing
dimensions resulting in at least one right triangular face or plane of repeating
tetrahedrons in the matrix may be used for specific applications depending on local
conditions, value engineering and cost/benefit analyses.

The sides, or “segments”, of the space frame 100
are sloping at 45° so that interior diagonals, defined
by the x, y, and z dimensions, are aligned with the
conventional hexahedral 90° geometry of inhabitable
space.

Referring to
FIG. 3, a diagram illustrates a plan view
of the inhabitable space frame 100.

Referring to
FIG. 4, a diagram illustrates an aerial
perspective view of the inhabitable space frame 100.  
This view illustrates all four of the strut member
dimensions s, x, y and z, and the l, w and h
dimensions. As illustrated in the drawings, the basic
tetrahedral modules of the present invention are inherently stable and need no added
bracing, additional supports or resistance to bending moments, cantilevered foundations,
or ductile frame engineering associated with the primary structure. Secondary floors and
other structures are then supported with much less construction material due to the
inherently stable space provided by the primary structure.  The basic tetrahedral modules
are then adjacent to prime octahedral modules, which derive their stability from within the
continuous vector matrix of tetrahedrons.  According to some embodiments of the
present invention, the basic tetrahedral modules always have at least one right triangular
face, or plane, with a vertical edge, from which horizontal floors project at right angles
thereto.  Although only one is required, this embodiment of the invention has three right
triangles within each of its basic tetrahedral modules. The slope angle of this space
frame can be 45° if the “z” dimension is
vertical, and 60° if a “y” dimension is vertical.  
However, in this example any angle is possible
by varying the lengths and right triangles.

The strut members 105 can be interconnected
using “pin” joints, as are well known to those
having ordinary skill in the art.  For example,
such joints can be comprised of spherical nodes
engineered to securely hold ends of two or more
strut members 105 in tension and compression
only, but without resisting bending moments.  
Because moment-resisting, stiff joints are not
required, the joints and the strut members 105 can be made lighter and more
economically.  That enables a substantial savings in materials (such as steel, carbon
fiber or other appropriate materials), weight, time and labor, which can substantially
reduce the total “carbon footprint” of a structure and associated costs.

Further, the “pin” joints (nodes), transport/erection equipment, and strut members 105
can be shipped (such as by sea, rail, or truck, or possibly by air or space vehicle) in high
density with minimal wasted space.  The space frame 100 then can be assembled on-
site, with custom equipment and specifically trained and experienced crews. Secondary
work within the erected primary modules then can be completed as other basic and prime
modules are being erected.  

As will be understood by those having ordinary skill in the art, floors, decks, roofs,
projections, built-in equipment, ceilings and walls can be supported within or above, or
suspended from the strut members 105 using conventional and advanced technological
construction techniques.  Thus, once a skeletal matrix of strut members 105 of the
inhabitable space frame 100 is erected, conventional building and architectural
techniques can be used to finish rooms, offices, other living areas, solar, wind and
convective energy-producing and water feature surfaces and devices, and open spaces
according to various architectural, engineering and esthetic demands and prioritized
factors. This allows for ease of change for future space demands.  Additionally, some
techniques may become uniquely adapted for uses within and associated with these
space frames, such as prefabricated, modular, plug-in and or deployable systems
developed specifically for such use.

Referring to
FIG. 5, a diagram illustrates a sectional
view of the inhabitable space frame 100.  This view
illustrates module floor areas 500, located on three
different vertical levels of the space frame 100.  
Thus the plurality of basic tetrahedral modules
110 and the plurality of prime octahedral modules
115 define the plurality of floor areas 500, each at
a different vertical level, around a perimeter of the
space frame 100.  These modules would support
additional floors.

Referring to
FIG. 6, a diagram illustrates an isometric view of the inhabitable space frame
100.  This view illustrates the floor areas 500 and also open areas 505, which can be
designed to remain open for interior light and air circulation, located in the interior of the
space frame 100.

The footings 120 include seismic isolators that
reduce seismic shock before it enters the primary
structure of the space frame 100.  Further, the
footings 120 reduce the size of a foundational
“footprint”, so that the space frame 100 is more
independent of terrestrial ground movement when
compared with conventional ductile frame steel,
concrete or wood structures.  Also, bigger and
fewer seismic isolators are more predictable,
cost-efficient and attractive.

FIGS. 7-10 illustrate a basic geometry of an oblique quadrilateral pyramid inhabitable
space frame 700 in the form of four sides, or “segments”, supporting each other, each a
three 86.6 foot module long space frame sloping at 60° to the horizontal, according to
some embodiments of the present invention.  Compared to the embodiment illustrated in
FIGS. 1-6, the space frame 700 illustrates a 45° configuration rotated to another right
triangle within the basic modules. Any slope angle is possible by varying the lengths in
this example, or changing the number of right triangles in the basic modules to no less
than one.

Referring to
FIG. 7, a diagram illustrates a side
elevation view of the inhabitable space frame 700.
For example, the space frame 700 may define an
apartment complex having inhabitable modules
of a length of 86.6 feet, a width of 42 feet, and a
height of 70.7 feet.  Such a space frame 700 can
be constructed from a plurality of strut members
705 having the following four discrete lengths:
s = 86.6 feet, x = 100 feet, y = 70.7 feet, and z = 50
feet, approximately, measured between node
centers at specified temperatures to allow for
thermal expansion and contraction, as previously described.  

Although l, w and h are changed, because the dimensions of s, x, y and z are the same in
both the embodiment shown in FIGS. 1-6, and the embodiment shown in FIGS. 7-10, it is
clear that very different space frame structures can be built simply by manipulating the s,
x, y and z geometries to adjust a sloping angle.
Thus, according to the teachings of the present
invention, significant economic savings can be
realized through the use of interchangeable strut
members mass produced and inventoried for
ready use, and or re-use, in large quantities.  

Referring to
FIG. 8, a diagram illustrates a plan
view of the inhabitable space frame 700.

Referring to
FIG. 9, a diagram illustrates a section
view of the inhabitable space frame 700.  The
dimensions of a width “w” and a height “h” of one
of the inhabitable modules are also illustrated.  
For example, as described above, according to
one embodiment of the present invention such
a length “l” could be 86.6 feet, such a width “w”
could be 42 feet and such a height “h” could be
70.7 feet.

Referring to
FIG. 10, a diagram illustrates a perspec-
tive view of the inhabitable space frame 700.  This
view also illustrates module floor areas 1000, located
on three different vertical levels around a perimeter
of the space frame 700.  Further, this view illustrates
open areas 1005 located in the interior of the space
frame 700.  Finally, this view also illustrates all four
of the strut member dimensions “s”, “x”, “y” and “z”,
and the “l”, “w” and “h” dimensions.

Referring to
FIG. 11, a diagram illustrates an aerial
perspective view of a completed inhabitable space frame 1100, in the form of an
apartment complex or office building, according to some embodiments of the present
invention.  The inhabitable space frame 1100 is in the form of a 45˚ square quadrilateral
pyramid having a base 300 feet long.  Although a quadrilateral pyramid is actually a
pentahedron, with four sides plus a base face that
is unstable with undulating ground movement,
the four sides or “segments” of four-dimensional
tetrahedronal space frames support each other
somewhat as a cross-barrel arch, or a huddle
of football players.

Footings with seismic isolators 1105 and strut
members 1110, 1111 support the space frame
1100 above the ground.  That enables people
1115 and vehicles 1120 to move freely in an
atrium area beneath the structure.  A glass enclosed “greenhouse” 1125 at the top
enables light to flow down to the atrium, to the ground beneath the structure, and to the
interior and under-sides of the inhabitable modules of the space frame 1100.

Referring to
FIG. 12, a diagram illustrates a section
view of the completed inhabitable space frame
1100.  This view clearly illustrates eight inhabitable
floors each a different height above the ground,
within two rows of 50 foot high modules 1200. The
top module is open with smaller floors around an
open atrium sky light.

Referring to
FIG. 13, a diagram illustrates a side
perspective view of two completed triangular inhabitable space frames 1300, in the form
of an apartment complex or office building, according to some embodiments of the
present invention.  These space frames 1300 include six inhabitable floors 1305, each a
different height above the ground.  This example is 600 feet long and 200 feet high, with
completed inhabitable space in a third lower row of 50-foot high modules, which can be
later expanded into the open top rows of modules,
or more modules can be added or reconfigured.
The fourth lower, open modules have longer struts
at their ends, which connect directly to the seismic
isolators, to close the structure and create the
appearance of the entire space frame being
suspended above the ground.

In particular, the embodiment of the space frame
1300 illustrates the adaptable and flexible nature
of the space frame technology of the present
invention.  The modules 1305 are shown set at a
45° angle over a stable cliff 1310.  People 1315
and vehicles 1320 are then able to move beneath the space frame 1300 at a base of the
cliff 1310.  Useful and enjoyable living space is thus able to be created in areas,
including even extraterrestrial areas, where conventional building techniques might be
unusable or prohibitively expensive.

Referring to
FIG. 14, a diagram illustrates a front
perspective view of a completed inhabitable space
frame 1400, in the form of an apartment complex,
according to some embodiments of the present
invention.  Similar to the embodiment shown in
FIG. 13, the space frame 1400 is set at a 45°
angle over a stable cliff 1405.

Referring to
FIG. 15, a diagram illustrates an
aerial perspective view of yet another completed
inhabitable space frame 1500, according to some
embodiments of the present invention.  The space
frame 1500 supports a large, mixed-use public
stadium in the form of a 45° quadrilateral pyramid.   

The inhabitable space frame 1500 thus illustrates
how the teachings of the present invention can be
used to build mega-structures that can house
more than 562 million cubic feet of space, equal
to more than 1,200 acres of floor area with 10 feet
between floors, within a 1,500 foot square,
approximately 50 acre, footprint.

Referring to
FIG. 16, a diagram illustrates a cut-away perspective view of the inhabitable
space frame 1500.  As shown, a playing field 1605 is below grade or at ground level, and
seating can be provided at three main levels 1610 around the perimeter of the space
frame 1500.  Commercial retail office space and/or parking then can be provided in the
lower modules of the space frame 1500.

The scale of structures built according to the
teachings of the present invention thus can be
varied dramatically.  For example, the scale can
vary from beyond the mega-structure illustrated
in Fig.15 and FIG. 16, and FIG. 1 through Fig. 14,
to individual houses, camping kits and to handheld
scale model kits, software and video gaming and
molecular nano models.  Such handheld models,
software and molecular models of the present
invention can be useful for various purposes such
as city planning, architecture and engineering,
education, and as therapeutic and recreational toys.   

FIG. 17A through FIG. 20A illustrate a “cornering”
model with four standard-sized strut members
showing how embodiments of the present invention
can turn corners inside, outside, over, under and
offset in four dimensions in design and construction.  To meet specific local conditions,
To meet specific local conditions, the seismic
isolator locations may be reduced due to the 4D
nature of the geometry.  FIG. 17B through 20B
more particularly illustrate features of the invention
according to this embodiment with one floor per
module, and without any secondary construction
such as finishing and exterior surfaces as shown
in FIG. 17A through 20A.

FIG. 21A and FIG. 22A illustrate a “wave” model showing how embodiments of the
present invention can be designed and built for inhabitation in virtually any shape, any
size, anywhere, and with an indefinite number of
strut member lengths.
FIG. 21B and FIG. 22B
correspond to FIG. 21A and FIG. 22A, respectively,
while further illustrating the strut members and one
floor per module of the present invention and with-
out showing secondary construction.  FIGs. 17A
and 17B through FIGs. 22A and 22B illustrate how
some embodiments of the present invention can
be adaptable to an extremely broad range of
existing site conditions, undulating terrain, program
demands and preferences.  

FIG. 23A through FIG. 26A illustrate an embodiment
of the present invention as a truncated hexagonal
elongated pyramid constructed with standard-sized
strut members, and supported on water with separate
ocean hull and ship technology, such as pontoons
2305, that potentially could be used for stable off-
shore airports and mixed-use marine communities.  
FIG. 23B through FIG. 26B correspond to FIG. 23A
through FIG. 26A, respectively, while further
illustrating the strut members and one floor per
module of the present invention and without showing
secondary construction.     

FIG. 27A and FIG. 28A illustrate a bio-dome constructed of standard-sized strut
members, containing its own atmosphere, according to an embodiment of the present
invention. The bio-dome can be located in hostile environments or anchored underwater,
with its own atmospheric support of inhabitable
space, as domes or spheres. Alternatively, the
bio-dome can be a cone, sphere, ellipsoid or
portions thereof.  When 4D geometry of some
embodiments of the present invention is curved,
the right triangular faces may become distorted
into other than right triangles.  
FIG. 27B and
FIG. 28B correspond to FIG. 27A and FIG. 28A,
respectively, while further illustrating the strut
members and one floor per module of the present
invention and without showing secondary
construction.    

FIG. 29A and FIG. 30A illustrate how an embodi-
ment of the present invention can be designed
and built as an inhabitable “PowerTower” for
photovoltaic, wind and convective thermal energy
production in conjunction with agricultural
production surrounding it. It could be used also
as an inhabitable transport vehicle centered
around a space elevator.  This illustrates how
the geometrical structure of embodiments of the
present invention can create geo-centered shapes
with variable diameters to transfer process energy
through their centers, while being inhabited.  
FIG. 29B and FIG. 30B correspond to FIG. 29A
and FIG. 30A, respectively, while further illustrating the strut members and one floor per
module of the present invention and without showing secondary construction.   

FIG. 31A and FIG 32A illustrate a 1,000 foot diameter rotating ring-shaped space station
according to an embodiment of the present invention. In FIG. 31A a quarter section is
removed to show the inside.  FIG. 32A is a detail section referenced with a section break
line.  In this embodiment, the members and nodes of the present invention are tightly
packed in inflatable bladders with connectable bulkheads for transport.  In place, they are
inflated to hold atmosphere, and the members and
nodes are then internally assembled into the
inhabitable space frames of the present invention.
The horizontal floors in this embodiment of the
invention are cylindrical, and the vertical walls
therein are disc shapes, for inhabitation where
the downward pull of “gravity” is replaced with
centrifugal force and resisted with the centripetal
force of the cylindrical floor rotating around the
center at the hub module.  As with curving 4D
geometry, the right triangular faces in the definition
of the present invention may become distorted into
other than right triangles.  
FIG. 31B and FIG. 32B correspond to FIG. 31A and FIG. 32A,
respectively, while further illustrating the strut members and section of the cylindrical floor
of the present invention and without showing secondary construction.

Membrane bladders, which are easier to ship and deploy than rigid panels, can be used
to contain pressure differentials within an embodiment of the present invention without the
embodiment being in a balloon shape. Inhabitability would depend on shielding and
deflection technologies beyond the scope of this disclosure but within the abilities of
those having ordinary skill in the art.  If one or more sections, separated with bulkheads,
suddenly lost pressure, the bulkheads suddenly close and the inhabitable space frame of
the present invention would help to hold the other sections in place to mitigate or prevent
catastrophic failure. This configuration includes alternating basic module tetrahedrons
with one-half prime modules in circular arcs and linear spokes only one module wide.
One-half of a prime octahedral module is a pentahedron with a rectangular face. Because
this configuration is only one module wide, an additional diagonal member connects the
corners of those rectangular faces, resulting in total basic module tetrahedrons without
any prime modules. This illustrates how the regular geometry of basic and prime
modules described above regarding
FIG.1 can be further strengthened by using all basic
module tetrahedrons when the space frame is only one or two modules wide, and the
potential forces extreme.

The geometries of various embodiments of the present invention thus offer a new way to
define and use space beyond the limitations of three-dimensional geometry.  When
space is defined in four dimensions as enabled by the present invention, a
corresponding structure can be inherently stable and can be used more efficiently,
economically and gracefully in response to energy and environmental concerns,
population growth, and for beauty and style.   

Comparatively, “three-dimensional space” refers to three static dimensions, each
associated with one of three parallel sets of faces or planes of repeating hexahedrons
described with “x”, “y” and “z” coordinates in a “3D” matrix.  “Four-dimensional space”
refers to four static dimensions, each associated with one of four non-parallel faces or
planes of repeating tetrahedrons described with “s”, ”x”, ”y” and “z” coordinates in a “4D”
matrix.  “Four-dimensional space” as used herein is not to be confused with time,
movement or animation, otherwise ascribed as “the fourth dimension.”   Although 3D
coordinates may be used accurately to locate any point in space, those points are not
inherently stable when they are physically constructed without buttresses, cross-bracing,
shear walls, and or stiff, moment-resisting joints connecting them.  Introduction of a fourth
dimensional coordinate system, “s”, sloping throughout the 3D “x”, “y” and “z” coordinates,
establishes a 4D digital geometry, a vector matrix, within which the points located at the
vector intersections need only axial resistance between them to be stable when
physically constructed.  Primary structural members in either 3D or 4D require resistance
to local loads and bending moments.  In 3D, they must successfully resist and transfer
those local building loads and building bending moments accumulated throughout the
entire structure. In 4D, they only need to resist local loads and bending moments while
transferring accumulated building loads and bending moments only axially, so that
longer spans and lighter members are possible for inhabitation of the same volumes of
space.

After a structure has been designed and constructed in four dimensions, there are far
fewer “columns.”   Prior art shows that space frames do not have “columns,” probably
because “columns” generally are thought-of as vertical and provide axial and
accumulated bending moment transfer in ductile frame buildings. Although only local
bending moment resistance is required in the strut members of some embodiments of
the present invention, some are vertical. However, there are far fewer vertical members in
some embodiments of the present invention due to the scale and inherently stable nature
of four-dimensional inhabitable space provided with it.

Although secondary finish improvements for inhabitation may be designed and built in
four dimensions, other dimensional systems then can be used to complete the finished
inhabitable space with highly advantaged environmental mitigations and economies.  
This is because the seismic, lateral force and other stability issues would have been
resolved with design and construction of the primary structure using the present
invention. In other words, after space has been “crystallized” into four dimensions,
according to an embodiment of the present invention, it becomes inherently stable, and
other dimensional systems then can be used to complete improvements for its
inhabitability within and around existing stable space, much like designing and building
stage sets within the structural stability and infrastructure of a theatre.

Also, the normal issues of permitting, financing, environmental sustainability, marketing,
common interest development infrastructure and other issues would be resolved with the
primary structures potentially designed and built according to the scope of the present
invention, thus providing a stage for intelligent inhabitation.

Applications of the present invention also can include the creation of entire cities, large
mixed-use communities anywhere, land, sea or space.  Such communities can have, for
example, the following advantages:

    a. Increased quality of space:  The distances between living areas in an inhabitable
    space frame according to the present invention can be significantly shorter than
    distances between those of conventional buildings.  Also, although vehicular traffic
    can circulate through these inhabitable space frames, they can be designed to
    achieve a balance between car-to-door convenience and overall ambience of a
    pedestrian environment with appropriate site planning. Additionally, if currently
    required parking spaces for large vehicles were reduced in the future, that space
    could be readily converted for other uses due to proportions that may be adopted
    with specific embodiments of the present invention.

    b. Greater flexibility:  Large amounts of economically useable space can become
    available with the inhabitable space frames of the present invention.  Development
    within them can be easier and cleaner than development in the ground because
    geo-soils, foundation, seismic, environmental, infrastructure, financing, marketing
    and public approval issues can be solved with the primary structures.  Also, there
    can be greater flexibility in the amounts and placements of useable space because
    modules can be added to, or removed from, earlier configurations when and if
    desired.  Although the strut members of a pyramid structure may be of equal
    strength, because there are more of them below than above, they can be
    strengthened to carry increased loads by adding “sister” members and or cables.  
    Thus the inhabitable space frames of the present invention can more easily
    respond to changing demands or circumstances without changing their physical
    footprint, more like natural life form morphologies that continually adapt and evolve.

    c. Use of otherwise unbuildable sites:  Unbuildable sites, such as pits, steep terrain,
    flood planes, water, satellite orbitals, space elevators, outer space and
    extraterrestrial environments, can become available for self-sustaining
    development using the inhabitable space frames of the present invention.  Also, the
    invention can reduce the need to demolish and replace existing neighborhood
    developments.  For example, it is possible to build over existing areas that may be
    blighted, without expensive preliminary relocation and demolition, so that local
    inhabitants can move directly into the new inhabitable space frames, bringing
    historic or practical elements of their old neighborhoods into the architecture of their
    new city with the present invention.  Further, the inhabitable space frames of the
    present invention can be used to quickly and economically create infrastructures
    with space frame economies, and can provide superior qualities, sustainability, and
    life-style options for existing local inhabitants and a geometrically expanding
    population in a world of diminishing resources, and beyond.  Instead of evicting and
    ejecting local inhabitants, the economies of the present invention allow them to be
    adequately compensated, in money or life-style improvements, respecting the fact
    that they are the existing land occupiers where embodiments of the present
    invention are to be used.

    d. Significant cost savings:  According to conventional construction techniques, the
    primary steel frame structure and foundation of a high-rise building generally
    represents about one-third of the total building costs.  The inhabitable space frames
    of the present invention may require one third to one half less steel or other
    appropriate material than ductile frame structures, representing potentially more
    than a ten percent total project cost differential and a significant savings in energy
    and environmental impact, which can increase net returns and profits.

    e. Better options for “green” designs:  The inhabitable space frames of the present
    invention may be architecturally sculpted as highly energy-efficient and energy-
    producing structures for photovoltaic and thermal systems, wind, passive solar,
    natural ventilation, comfort and aesthetics, because the four-dimensional matrices
    of the present invention have greater flexibility and options than are readily
    apparent, natural or even possible with conventional three-dimensional
    construction techniques. They include flowing water from rain collection, drainage
    and recycling for landscaping and gardening, and for environmental, health and
    aesthetic effects for multi-level real estate that can incorporate gardens or urban
    farms within them.

The above description of various embodiments of the present invention is provided for
purposes of description to one of ordinary skill in the related art. It is not intended to be
exhaustive or to limit the invention to a single disclosed embodiment.  As mentioned
above, numerous alternatives and variations to the present invention will be apparent to
those skilled in the art of the above teaching.  Accordingly, while some alternative
embodiments have been discussed specifically, other embodiments will be apparent or
relatively easily developed by those of ordinary skill in the art.  Accordingly, this patent
specification is intended to embrace all alternatives, modifications and variations of the
present invention that have been discussed herein, and other embodiments that fall
within the spirit and scope of the above described invention.

The Abstract of the Disclosure is provided to allow the reader to quickly ascertain the
nature of the technical disclosure.  It is submitted with the understanding that it will not be
used to interpret or limit the scope or meaning of the claims.  In addition, in the foregoing
Detailed Description, it can be seen that various features are grouped together in various
embodiments for the purpose of streamlining the disclosure.  This method of disclosure
is not to be interpreted as reflecting an intention that the claimed embodiments require
more features than are expressly recited in each claim.  Rather, as the following claims
reflect, inventive subject matter lies in less than all features of a single disclosed
embodiment.  Thus the following claims are hereby incorporated into the Detailed
Description, with each claim standing on its own as separately claimed subject matter.  


Claims:

    1. An inhabitable space frame comprising a vector matrix of strut members that
    defines a plurality of interconnected basic tetrahedral modules.

    2. The space frame of claim 1, wherein the vector matrix of strut members defines a
    plurality of interconnected basic tetrahedral modules and prime octahedral
    modules, and wherein at least a part of each prime octahedral module in the
    plurality of prime octahedral modules is adjacent to at least two of the basic
    tetrahedral modules.

    3. The space frame of claim 1, wherein the vector matrix of strut members
    comprises strut members having only four discrete, different lengths.

    4. The space frame of claim 1, wherein the vector matrix of strut members
    comprises strut members having an indefinite number of discrete, different lengths.

    5. The space frame of claim 1, wherein the plurality of basic tetrahedral modules
    and a plurality of prime octahedral modules define a plurality of floor areas, each at
    a different vertical level within, around and projecting from the exterior of a
    perimeter of the space frame.

    6. The space frame of claim 5, wherein the plurality of floor areas is suspended
    within an interior atrium beneath the space frame.

    7. The space frame of claim 1, wherein the inhabitable space frame supports an
    office or apartment building, a retail/wholesale store, a hotel, an institutional
    building, an industrial building, an agricultural building or a mega-structure
    supporting mixed-use projects.

    8. The space frame of claim 1, wherein the inhabitable space frame is supported on
    footings having seismic isolators.