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Flexagon Re'Flex'ions
Flexagon Chains
This Page Revised 10 Aug 2003
Chains of flexagons are also possible. One of the simplest examples is to connect my version of the trihexaflexagon, which has a 1/2 twist, with two other 1/2 twist trihexaflexagons. The unconnected band of a 1/2 twist trihexaflexagon is passed through a connected 1/2 twist trihexaflexagon. Then the band is given a 1/2 twist and the ends are connected by using VELCRO or other methods as desired. The same process is repeated in order to connect three trihexaflexagons.
Following is a demonstration model of three linked trihexaflexagons. These different flexagons, identified with Blue, Orange, and Pink borders, were made having the same three faces.
These three trihexaflexagons can now be flexed in order to reveal different faces. The possibilities are endless. Different patterns could be used. Chains could also be assembled using different combinations of regular bands, möbius bands, and other versions of flexagons.
Comparison between the two trihexaflexagon versions, the traditional and mine, becomes even more fascinating when studying chains of either the same version or combinations of both. After starting to study chains of flexagons, I now truly believe that there is an infinite number of flexagon related phenomena! My imagination is filled with potential applications!