Octahedral Trinja Star
Pictures copyright by PhotoArt Studio Hörby
This model was built in December 2019 and its dimensions is around 8.5 cm x 8.5 cm x 8.5cm.
This polyhedron only consists of regular heptagons that are folded over a diagonal and for this polyhedron the folding is done in a 'W' shape:
The polyhedron has the same rotational symmetry as a cube, i.e. without the reflections. I like these kind of symmetries where the reflections are missing. I found Nemesis first, then I understood that the heptagons were organised in triplets around a star with three points. I thought that this variant might exist with tetrahedral and cube symmetry as well. Then I led a search program towards this both solutions.
Polyhedra that lack reflections are usually a bit more challenging to build and Nemesis was no exception. Since I found the right build strategy for that one before, it was not a problem building this one using the same strategy. As for the tetrahedral version I expected two variants here. I did find another variant, but not the one expected. I will probably build the other variant some time in the future.
Last Updated
2019-12-16