Abstract: The invention relates to the creation of three dimensional objects from elements or blanks produced by inscribing inwardly and outwardly extending circles about a plurality of polygons, such as isoceles triangles, rectangles, or trapezoids of four, six or other even numbered sides through each point where the sides of the polygons intersect. To provide the appropriate arc lengths, the inscribed circles have the same diameter as the length of the side of the polygon where the arcs are to be inscribed. The element is bent or folded along each arc to form the three dimensional object. Multiple elements can be joined to form complex elements by superimposing individual elements upon a portion of adjacent elements. The objects thus formed can be held together by forces generated by the folded arcs, although an adhesive may optionally be used. The elements three dimensional objects, and methods of making same also form part of this invention.

Abstract: A transformable combination of linked polyhedra which includes a set of a plurality of objects each having at least first and second faces and a member for connecting adjacent objects in a manner which allows rotation of one object while an adjacent object is fixed so that the position of the first and second faces of the one object can be changed with respect to the position of the adjacent object. Preferably, the connecting member is a corner connector which includes a straight or bent rod member having first and second rotatable end members which facilitate rotation of the objects. Also, a single continuous connecting member may be used to join all objects in the set.

Abstract: The invention relates to the creation of three dimensional objects from elements or blanks produced by inscribing inwardly and outwardly extending circles about a plurality of polygons, such as isoceles triangles, rectangles, or trapezoids of four, six or other even numbered sides through each point where the sides of the polygons intersect. To provide the appropriate arc lengths, the inscribed circles have the same diameter as the length of the side of the polygon where the arcs are to be inscribed. The element is bent or folded along each arc to form the three dimensional object. Multiple elements can be jointed for form complex elements by superimposing individual elements upon a portion of adjacent elements. The objects thus formed can be held together by forces generated by the folded arcs, although an adhesive may optically be used. The elements, three dimensional objects, and methods of making same also form part of this invention.