Ring of Tetrahedrons

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cube
Let the vertices of a cube be A,B and two points on edges be C,D.Where triangle ABC,ABD are halves of equilateral triangle.

Make a tetrahedron ABCD.
As in the same way let make 6 tetrahedrons.

cube
cube
Next,let hinge six tetrahedrons as a ring.
This ring can transfrom in freedom of movement 1.
(Paul Schatz 1928)

Kaleido Cycle
Make one tetrahedron with 4 above-mentioned tetrahedrons.You can make another "ring of tetrahedron" with them.

Photo is a "Kaleido Cycle",construceted by the book"M.C.ESCHER KALEIDOCYCLES"by Doris Schattschneider and Wallace Walker.
Real animation of Kaleido Cycle(178KB)


This is same mechanism as stated above but made of metal pipes and wires.
Geometry
Geometry
Geometry
Sold as
"Geometry",
"Hexyflex",
"FlexiStar3"
etc.
Geometry Geometry Geometry

simple closed loop
Geometry
Geometry
Geometry
Made of long nats and long balts.
It turns smoothly and windingly.

made by Akira Nishihara

serrureries-1
Geometry
Geometry
Geometry
made of 6 L-shaped serrureries

made by Akira Nishihara

serrureries-2
Geometry
Geometry
Geometry
made of 6 twisted metal rectangles

made by Akira Nishihara

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