Patent ID: 8869464

Claim:
Correlated hyperbolic paraboloid structural members for use as interconnectable structures or as toys comprising: a. a correlating tetrahedron means to imbue said correlated hyperbolic paraboloids with characteristic dimensions suitable for interconnection, said correlating tetrahedron having two opposite edges of equal length, designated L2, and four other edges of equal length, designated L1, and a″. an integer number, n, n greater than or equal to 3, of said correlating tetrahedrons able to be arranged contiguously around a central axis with one of said L2 edges on said central axis, wherein said L1 edges of adjacent said correlating tetrahedrons congruent, and a″. the relationship of n, L1 and L2 conforming to the mathematical equation; L ⁢ ⁢ 1 L ⁢ ⁢ 2 = [ 1 + ( 1 sin ⁢ ⁢ 360 ⁢ ° 2 ⁢ n ) 2 ] 1 2 2 b. said correlated hyperbolic paraboloid structural members constructed between said L1 and said L2 edges of said correlating tetrahedron selected from the group consisting of; I. a said correlated hyperbolic paraboloid having said four L1 edges of said correlating tetrahedron and a distance between opposite corners of said L2, II. a said correlated hyperbolic paraboloid having two opposite said L2 edges and two other opposite said L1 edges connecting said L2 edges in a right handed sense analogous to a right handed helix and a distance between opposite corners of said L1, III. a truncated said correlated hyperbolic paraboloid having two edges that are half the length of said L2 edges, a said L1 length edge that joins said L2 edges in a right handed sense analogous to a right handed helix and a fourth edge between the midpoints of said L2 edges, IV. a said correlated hyperbolic paraboloid having two opposite said L2 edges and two other opposite said L1 edges connecting said L2 edges in a left handed sense analogous to a left handed helix and a distance between opposite corners of said L1, V. a truncated said correlated hyperbolic paraboloid having two edges that are half the length of said L2 edges, a said L1 length edge that joins said L2 edges in a left handed sense analogous to a left handed helix and a fourth edge between the midpoints of said L2 edges, c. wherein said correlated hyperbolic paraboloid structural members provide spatially coincident corners, edges and/or faces for connection when placed adjacently, whereby said correlated hyperbolic paraboloid structural members are used individually, a plurality are connected to form a multitude of structures and/or are used as toys.