Abstract: A freestanding space heating stove, presenting heat radiating flat faces of essentially equal surface, the faces being alike pentagonal plates of steel joined edge to edge forming a dodecahedron shaped hollow body wherein one of the plates provides a bottom and supporting legs extend downwardly and outwardly from the edges of the bottom plate to support the stove above a supporting floor. The bottom plate has five like plates diverging upward from its five edges and these five plates each have their two upper edges joined to the two lower edges of two like plates. The five upper plates converge and have their top edges joined to a top plate. One of the upper plates is provided with a door to receive fuel. Also, two of the upper plates have air inlets provided with dampers. Outlet means for gases produced is provided at the point of the top plate opposite to the edge thereof which joins the door carrying upper plate.

Abstract: Foldable and portable shelter structure constructed from a rigid or semi-rigid, thin material such as cardboard, plastic, and the like, formed of a pair of hexagons, placed face-to-face and secured to each other, as by taping, along two or three of the contiguous outer edges of the hexagons. According to one embodiment, each hexagon is divided into six triangles, and the lines which separate these triangles are each flexible in one direction. The pair of hexagons can be pulled apart like a "party hat" and placed on a flat surface to form a standing shelter structure. A floor can be added as an integral part of the structure, which is at full strength when set up flat on the ground.

Abstract: A building module is formed of a first plurality of isosceles triangular members forming a roof and a second plurality of isosceles triangular members forming walls which support the roof. In one embodiment, some of the triangular members are right triangles and each of the remaining triangular members have two sides which are three-fourths the length of their third side. In another embodiment, all the triangular members each have two of their sides equal in length to three-fourths the length of their third side. Also, each of these embodiments can be combined to produce larger units and can be combined with a partial cubical form to provide vertical walls.

Abstract: A foldable module comprising a plurality of substantially similar, hollow pyramidal elements, at least some of which lack a single tapering side wall so as to provide access to the interior thereof. The elements are foldably interconnected, preferably in linear arrangement along opposed side edges of the base walls thereof, and may be mutually oriented to a variety of positions depending upon contemplated use.

Abstract: A playground climber comprises one or more equally sized dodecahedron-shaped modules, two or more of which of equal size are joined together along a face of each. The modules are each made up of pieces of pipe of equal length attached together at their ends using a connector, each module having twelve faces and twenty corners, each face having five sides, and each corner being formed by the juncture of three pipes. Each module is a regular dodecahedron with structural members so positioned that a child can reach the members. Also, the majority of the faces of the dodecahedrons are open to permit a child to pass therethrough. The structural members of each face of each dodecahedron are spaced close enough to each other to permit a child to grasp the structural members of a regular pentagon, which forms each face of the dodecahedron, while climbing thereon.

Abstract: A structural module is provided having at least three triangular prismatic elements arranged such that a similar quadrangular sidewall of each prismatic element forms a common quadrangular wall of the entire module.

Abstract: A collapsible rod and joint structure forming a polyhedron frame comprising sleeve or sleeve-type open sleeve joints cooperating with corner connection joints at the ends of each arm of the structure. The folding of a polyhedron is accomplished when all of the horizontal base arms joining the vertical arms radiating from the apex joints are each folded on hinged corner joints at the base of each vertical arm to connect to, after disengaging from the corner connection joint on the adjacent vertical arm, are folded so that the arms rest in parallel and together, whereby all dual sets are folded toward each other so that all arms rest in parallel and together.

Abstract: The module, following the geometry of joined truncated icosahedra, is designed to provide, when a plurality of them are joined to form a space vehicle, at least a subsistence environment for terrestrial life, including a centrifugally induced artificial gravitational field, as well as an in-orbit base from which larger space structures can be built.

Abstract: The genus extender is a toy block designed to be used with a plurality of homohedral modules, either by itself or with other genus extenders, in constructing geometric models with a topological genus of two or more.

Abstract: A plurality of identical panels shaped as equilateral triangles with peripheral framing whereby the panels are adapted to be bolted together to form a space enclosing structure whose outer surface will be 15/20th of an icosahedron. The five roof panels have extensions on one side to form overhangs.

Abstract: Construction of buildings by assembling prefabricated elements. The volumes constructed are the sum of elementary volumes resulting from the division of a right prism whose height is a dimension U which is taken as unit and whose base is an equilateral triangle whose sides are equal to 2 U, this division being made through a plane passing through one side of one of the bases and the apex of the other base in line with the apex opposite the said side.

Abstract: A collapsible building element of sheet material comprising four prismatic sides hingedly connected to each other, each side comprising two faces in V-shaped relationship and interconnected by a hinge structure, two adjacent sides having an outwardly extending V-shape, but other adjacent sides having an inwardly extending V-shape.

Abstract: An inflatable tent is in the shape of a non-planar tetrahedron. The tent is formed from a single rectangular, planar sheet joined with itself along three linear seams.

Abstract: Tetrahedron blocks are used to assemble structures of various shapes and sizes. The blocks have side walls joined along ridges which converge at four corners of the block. Each wall has an opening shaped to receive a corner of an adjoining block making up a structural unit.

Abstract: Structural cores are quasi-isotropic load-carrying constructional elements n the form of parallel rows of polyhedrons disposed in alternating sequence. These have been made from interwoven fibrous filaments, coated with plastic. Such structural cores are made herein from a continuous ribbon.

Abstract: Space enclosures fabricated of relatively inflexible material, critically formed into a three dimensional shape which approximates to some degree the dome construction of common architectural form. Each of the enclosures representing the several embodiments of invention is comprised of a plurality of pieces, fabricated from material which not only has rigidity but sufficient thickness that must be taken into account at the juncture of adjoining pieces by determining the dihedral angles formed by the intersecting planes of their inside surfaces. This allows for the proper beveling of the edges of the construction members to establish the total angle at each intersection. The pieces, or construction members are actually planar members most of which are in triangular form. According to the invention, both the dihedral angles and the linear dimensions of the members are more easily calculated if the triangular construction members are restricted to an isosceles shape.

Abstract: A modular educational erector-toy and erector playground equipment and building system for constructing single-level and multi-level toy and playground structures and buildings of widely variable optional combinations of hollow primary tetrahedron modules and secondary tetrahedron and hexahedron modules and tertiary pentahedron and septahedron modules; the modules being full-size, half-size and quarter-size. The modules are bounded by planar walls, with the outer surfaces on one or more walls of each module matching the whole or an integral fraction of the outer surfaces of one or more walls of every other module. Some or all of the walls of the modules have substantial openings or windows therein so as to form planar boundary flanges or webs defining such tetrahedrons, pentahedrons, hexahedrons and septahedrons.

Abstract: A modular structural system utilizes a limited inventory of framework elements which in combination with a limited number of interstitial exterior and interior panels can be utilized to erect a variety of integral structures in which the framework elements bear substantially all loads. The same framework elements can be combined to form planar trusses and spans, domical space enclosing structures with integral foundations, and complex multi-level high rise structures. Polyhedral frameworks are assembled into arrays of interlinked triangulated segments for optimum stability.

Abstract: A type of building structure comprising a plurality of space modules each having a truncated tetrahedral shape.

Abstract: The modular building system of this invention relates generally, but not exclusively, to habitations. The system comprises at least two individual room or space modules which are individually secured to their foundations and at least one additional individual room or space module which structurally spans between and interconnects at least two of the aforementioned foundation secured modules.In the preferred embodiment of this invention, the enclosing shells of the modules are comprised of a plurality of prefabricated sections, the shapes of which are derived from the geometry of a spherical square. A great variety of floor plan arrangements can be realized within the scope of the invention by interconnecting individual room or space modules, either laterally or vertically into various groupings, any one of which comprises one particular building.

Abstract: Homohedral construction is a building and truss system based on the regular icosahedron. It is analogous to the standard building or truss system based on the cube, which is characterized by 90.degree. corners and edges on its struts and planar surfaces.

Abstract: An artificial land structure framework minimizing the destruction of nature such as hills and plants.The framework has a plurality of beam members connected with each other to form a number of laterally disposed rectangular three-dimensional spaces, and artificial lands are stepwise provided along the diagonal lines of the three-dimensional spaces. The framework is of a truss structure with flexibility for modification, extension and reduction, and being able to have any desired number of layers of the artificial lands constructed on an inclined or flat ground.

Abstract: A plurality of mathematically interrelated modular structures are disclosed which are based on a series of minimal surfaces bounded by skewed polygons. Some six basic modules are described which are capable of being interconnected in various combinations to form finite volume enclosing structures. Appropriately scaled, the modules could be used as structure toys, to create playground equipment or, for the construction of habitible structures. Utilizing these structural modules, it is possible to construct large assemblies having parallel planar structures within the enclosed space which could be considered floors and ceilings of multilevel structures.