For the regular kaleidocycles the order minimum is 8; nevertheless we can build a ring with 6 tetrahedra, but which cannot turn completely. |

regular kaleidocycle of order 8 | closed kaleidocycle (non regular) of order 6 may be cut using its symmetry plane (when closed) into two mirror image right-angled kaleidocycle |
right-angled kaleidocycle of order 6 (see "Schatz cube") |

references: |
the site by Jürgen Köller (special kaleidocycles, also in German)
Umstülpungskörper by Ellen Pawlowski (2005, in German)
see also invertible polyhedra |

summary | February 2000 updated 29-09-2013 |