The last in the series of polyhedra rings is a ring of 17 Disphenocingulum:

A Disphenocingulum is Johnson Solid J90, as is made up of 4 squares and 20 triangles. It’s sets of triangular pyramids joined together with pairs of squares:

It’s not the easiest shape to make, as it’s easy to lose track of the triangles, but it got easier after 17 of them! It’s made with polyhedral angle weave, 12mm bugle beads and nylon monofilament like the others in the series.

The disphenocingulum are joined together square pyramids on the outside of the ring, with the base of the pyramid linking up with a pair of the squares on the J90s to make a ribbon of squares all around the edge.

Like most of this series, I learnt about this shape on Rafael Millán’s GeoMag website. It’s much larger than the other three in this series, and unfortunately it’s not very stable at all. The disphenocingulum themselves tend to collapse at the slightest touch, and generally look a little bit warped. This means the ring is not very stable as well, as the polyhedra need to be exactly in the right position to keep it in shape.

This was the last in a series of rings of polyhedra – here are all four together:

From left to right it’s a ring of 14 snub disphenoids (J84), a ring of 15 hebesphenomegacoronona (J89), a ring of 16 sphenocoronae (J86) and this ring of 17 disphenocingulum (J90). This was a fun series to make, and I think I’ll try and hang them on a wall somewhere they will catch the light, as I love how the rainbow finish twisted bugle beads sparkle in the sun!

Next in the series of bugle bead rings of polyhedra is a ring of 16 Sphenocoronae!

A Sphenocoronae is another Johnson Solid – this time J86. It’s made up of 12 triangles and 2 squares. It’s essentially two pentagonal pyramids on a base of 2 squares, with 2 more triangles filling in the gaps:

It’s quite a nice shape to weave together, and like the previous two rings this one is made with 12mm bugles, nylon monofilament and polyhedral angle weave. It does use an extra “linking” bugle to join the polyhedra together – forming a tetrahedra in between each sphenocoronae on the outside of the ring.

Like the ring of snub disphenoids, I learnt about this shape on Rafael Millán’s GeoMag website.

This one is quite a bit larger than the other two, so doesn’t work as a bangle with 12mm beads. I’m enjoying making this series though and have one more shape to try!