Chains of octahedra
Any quantity of regular octahedra can be linked together to form chains as shown in the following picture. The upper, open chain is made of 32 octahedra, the closed one is made of 27, which is the minimum quantity required to make a closed circle.
Chains of octahedra
1062 pieces: 354 balls, 708 rods (6.37 kg) 
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These chains (by
Peter Jepsen) can be built quickly and easily as follows:
Chaining octahedra, step 1
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Chaining octahedra, step 2
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Chaining octahedra, step 3
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Chaining octahedra, step 4
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Chaining octahedra, step 5
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Chaining octahedra, step 6
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