Scott made a vZome model of the Gosset’s 3_21 polytope. I could not neglect his remark Constructing this in real Zome would be a real challenge!. Therefore a perl script cleaned up his model a bit by eliminating all (partially) overlapping struts. Also (only) one set of crossing struts had to be replaced (manually) by intersecting struts. The resulting vZome model makes it easy to build a Zometool implementation.

Gosset's 3_21 Polytope

Unfortunately, for the actual physical build, I had to few hb1 struts. Only two options are available for a compromise. I used both in the following model. In between the teal and pink connectors, I simply dropped the required hb1 struts, and for the blue struts emanating from the pink connectors I used a b2 bending over a b1, instead of 2hb2’s connected to 2hb1’s.

Gosset's 3_21 Polytope without hb1 struts