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Home > 2015 Mathematical Art Exhibition
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"Tetra-Tangle of Four Bow-Tie Links," by Carlo Séquin (University of California, Berkeley)

ABS plastic, printed on an FDM machine, 2014
Four sets of three mutually parallel, 3-sided prisms, pointing in 4 different tetrahedral directions, form the core of the TETRAXIS® puzzle. When two triangular prism-end-faces that share a common vertex are closed off with a connecting sweep, a loose "bow-tie" is formed. If all twelve pairs of adjoining triangular end-faces are joined in this manner, the result is a link of 4 mutually interlocking, twisted, prismatic bow-tie loops. This represents an alternating 12-crossing link that has the same connectivity as the “Tetra-Tangle,” which I constructed from 4”-diameter card-board tubes in 1983. The new geometry is has been realized as 4 differently colored sets of 6 tubular snap-together parts each, fabricated on an FDM machine. --- Carlo Séquin (

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American Mathematical Society