Abstract A series of polyhedrons are removably and rotatably connected to each other to form a series. Each polyhedron has an edge which lies in a plane perpendicular to a plane containing either an opposite edge, as in the case of a tetrahedron, of a point, as in the case of a trihedron. The opposite edges, or edge and opposite point are adapted to contain hinge elements which may be removably and rotatably connected. When in the form of a closed loop, containing at least four connected polyhedrons, the device is capable of being continuously turned up to 360* inside itself to form a multitude of geometrical shapes and configurations. For any given closed loop, the geometric form of the configurations is dependent upon the number and type of polyhedrons employed.
An instructional and amusement device which comprises a series of congruent triangular tetrahedrons, the opposite edges of which are formed from equal dihedral angles, equipped at a pair of said opposite edges with hinge element means whereby said tetrahedrons may be removably and rotatably connected to form said series.
Claim 2
Dependent Claim
49 words
An instructional and amusement device which comprises a series of congruent triangular tetrahedrons, the opposite edges of which are formed from equal dihedral angles, equipped at a pair of said opposite edges with hinge element means whereby said tetrahedrons may be removably and rotatably connected to form said series.
Claim 3
Dependent Claim
24 words
The device of claim 1 further characterized in that at least six of said congruent triangular tetrahedrons are connected to form a closed loop.
Claim 4
Dependent Claim
20 words
A device of claim 1 further characterized in that the angles of the triangular faces of said tetrahedrons are acute.
Claim 5
Dependent Claim
19 words
The device of claim 1 further characterized in that the four faces of said tetrahedrons are congruent isosceles triangles.
Claim 6
Dependent Claim
18 words
The device of claim 1 further characterized in that two opposite faces of said tetrahedrons are 90* triangles.
Claim 7
Dependent Claim
14 words
The device of claim 5 further characterized in that said faces are 30*-60*-90* triangles.