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A construction apparatus for models, stagecraft, models of matrices and the like. Elements with locations at equal increments construct a mosaic of locations and points in a tetrahedron solid or portion thereof with each selected point in predetermined angular and linear relationship to every other

A construction apparatus for models, stagecraft, models of matrices and the like. Elements with locations at equal increments construct a mosaic of locations and points in a tetrahedron solid or portion thereof with each selected point in predetermined angular and linear relationship to every other selected point in the mosaic. A selected ratio in size constructs a scale model of a full-size structure with corresponding mosaics. Components rotate at any location. Adjustable elements select any point in relation to said mosaic. Any component is movable to any corresponding location in said mosaic. An integral connector may include two parts facing outwardly on opposite sides of a location. First part includes a resilient snap-ring in a retaining groove adjacent to a polygonal recess. The first part engages a second part with a polygonal protrusion at a location in a second element. The edges of said protrusion expand said snap-ring to engage the two parts in a predetermined orientation. By minimizing frictional wear between the connector faces in engaging, the elements have lifetime durability. An integral connector facilitates construction of regular polygons in assembly and disassembly, with stability, accuracy, and ease of alignment of the elements. A connector does not depend upon gravity for engagement and therefore is adapted for use in non-gravity situations. Connectors include triangular, hexagonal shapes, and subconnectors rotatable 360 degrees, selectively integral and at each location.

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1. A construction apparatus for models and stagecraft comprising: 1. a model constructed with a mosaic of locations in at least a segment of a tetrahedron, 2. said tetrahedron constructed with structural elements including linear locations at equal increments, 3. in a first structural element e

1. A construction apparatus for models and stagecraft comprising: 1. a model constructed with a mosaic of locations in at least a segment of a tetrahedron, 2. said tetrahedron constructed with structural elements including linear locations at equal increments, 3. in a first structural element each said location selectively including two portions of a connector facing outward on opposite sides of said location, and integral therewith, 4. the first said portion including a flexible, resilient snap-ring held within a retaining groove, said location further including a hexagonal hole approximately aligned with the hole in said snap-ring, 5. the second said portion including a hexagonal protrusion with hexagonal edges which open the corresponding snap-ring of an adjacent, selected location of a second structural element with frictional contact between said ring and the flat, hexagonal surfaces of said protrusion, instantly to assemble said first and second elements at an angle predetermined by the selected relationship between said hexagonal hole and protrusion. 2. The apparatus of claim 1 further comprising a small, triangular connector with four sides, each said side and its opposite apex including said first and second portions of a connector similar to the foregoing, for connecting said construction elements at any selected location between the base and apex of said tetrahedron. 3. The apparatus of claim 1 further comprising means for locating any point within said tetrahedron in relation to said mosaic, by connecting first, second, and third adjustable construction elements between said point and selected first, second, and third locations, respectively, in said mosaic. 4. The apparatus of claim 1 further comprising means for positioning any curved, irregular object in said mosaic by selecting first and second points on said object, and locating each respective point by its corresponding three, adjustable construction elements. 5. In a construction apparatus, an improved connector for structural elements comprising: at a selected location in a first structural element, two portions of a connector facing outward from a flat surface, respectively, on opposite sides of said location, and integral therewith, a. the first said portion including a resilient snap-ring held within a retaining groove, said location further including a hole with regularly spaced internal surfaces and approximately aligned with the hole in said snap-ring, b. the second said portion including a protrusion with regular surfaces corresponding to said location hole, and further including a circumferential groove which cooperates with the corresponding first portion of a similar connector at a selected location in a second, similar structural element in a selected, predetermined angular relationship between said first and second elements; said flat surfaces including angular orientation means in the plane of an upper side of said first structural element, in relation to the angle of the respective, regularly-spaced, internal flat surfaces of said hole including said resilient snap-ring: wherein said resilient snap-ring includes resilient engaging means to engage said circumferential groove in the second said portion of said connector including said protrusion with regularly-spaced flat surfaces corresponding to each said internal surface, included in said structural element; said snap-ring being opened by said edges of said protrusion without contact between said snap-ring and said flat surfaces of said protrusion including said angular orientation means; for at least one assembly and disassembly between said hole with regularly-spaced flat internal surfaces and including said orientation means, without wear from frictional contact between: said resilient snap-ring engageable with said concave groove, and including engaging means; and said orientation means including said flat, regularly-spaced surfaces of said protrusion and said hole. 6. The apparatus of claim 5 wherein said assembly and disassembly of said engaging means including orientation means, continues for the useful lifetime of said structural elements without substantial wear from frictional contact between said flat surfaces of said protrusion in sliding relationship to a regularly-spaced internal surfaces of said hole. 7. In a construction apparatus a generally hexagonal connector, said hexagon comprising six sides first thru sixth, the thickness of said connector determined by a first and a second parallel plane perpendicular to said hexagon; said connector with a first, a second, and a third hole comprising first, second, and third locations in the center of first, second, and third adjacent sides of said hexagon respectively, each said location emerging in the center of its opposite side; said connector with a fourth, fifth, sixth, seventh, eighth, and ninth hole each perpendicular to said first and second parallel planes, and each comprising a location positioned one-half of said increment from the geometric center of said parallel planes, each said location aligned perpendicular to the respective first, second, and third hole of said hexagon, and said parallel planes with a hole thru their said geometric centers and comprising a tenth said location; a. each said location selectively including two portions of a connector facing outward on opposite sides of said location, and integral therewith, b. the first said portion including a resilient snap-ring held within a retaining groove, said location further including a hexagonal hole approximately aligned with the hole in said snap-ring, c. the second said portion including a hexagonal protrusion with a circumferential groove which cooperates with the corresponding first portion of an adjacent, selected location of a second structural element, instantly to assembly said first and second elements at an angle predetermined by the selected relation between said hexagonal hole and protrusion. 8. The apparatus of claim 7 further comprising structural elements with increments at equal increments and constructing at least a segment of a tetrahedron with a mosaic of locations. 9. In a construction apparatus a connector comprising: first subconnector comprising a rectangular solid with first and second perpendicular holes thru each of two adjacent sides and comprising first and second locations, second subconnector similar to first said subconnector; and connecting means at a location of said first and second subconnectors for positioning said first subconnector circumferentially 360 degrees at a selected angle in relation to said second subconnector; a. each said location selectively including two portions of a connector facing outward on opposite sides of said location, and integral therewith, b. the first said portion including a resilient snap-ring held within a retaining groove, said location further including a hexagonal hole approximately aligned with the hole in said snap-ring, c. the second said portion including a hexagonal protrusion with a circumferential groove which cooperates with the corresponding first portion of an adjacent, selected location of a second structural element, instantly to assemble said first and second elements at an angle predetermined by the selected relation between said hexagonal hole and protrusion. 10. The apparatus of claim 9 wherein a plurality of said connectors with structural elements construct a regular polyhedron. 11. An improved connector comprising: a first portion with a recess, a first axis, and a second axis, said axes at a right angle to each other for enabling a uniform orientation by circumferential means in this embodiment; said recess with regularly-spaced, flat first faces including a polygon with its center on said second axis, for orienting said first faces in relation to said first axis; a resilient snap-ring generally parallel to said first axis, in this embodiment held within a retaining groove in said recess, for engaging a second portion; a second portion with a protrusion and with its respective axes at a right angle and designated as third and fourth axes, including: said protrusion with regularly-spaced, flat second faces including at least a portion of a similar polygon with its center on said fourth axis, for orienting said second faces in relation to said third axis; and for engaging said snap-ring expanded by edges between adjacent pairs of said second faces; for engaging said first and second portions without substantial, frictional wear upon said first or second faces; for securely engaging said first and second portions in a selected orientation between said second axis in said first portion, and said fourth axis in said second portion, without substantial, frictional contact between said engaging and orientating means, for durability thruout the useful lifetime of said connector. 12. A triangle connector with four sides, each said side and its opposite apex comprising its respective portion of an engaging means, for engaging a construction element with at least one of said portions at a selected location thereof; said engaging means comprising: a first portion including a recess with flat first faces including a hexagon, and a resilient snap-ring held within a retaining groove and with a hole approximately aligned with said recess; and with a hole approximately aligned with said recess; and a second portion including a protrusion with flat second faces including a hexagon, wherein a plurality of edges each between adjacent second faces engage said snap-ring expanded thereby, to engage a selected location of a construction element, without contact between said snap-ring and said second faces, instantly to assemble said connector and said construction element at an angle predetermined by the selected relationship between said flat first faces and said flat second faces.