On studying the Orthogonal Cube, I saw an opportunity to insert six additional struts which would transform the figure into a merger of three six-fold prisms. Although the new struts aren't symmetrical with the existing struts, they combine with the existing ones to form the edges of three six-fold prisms which are shown in red, green and blue in the diagram above. The data for the structure are summarized in the following table:
Label | End Points | Length | Force | |
---|---|---|---|---|
strut | p01a | p10b | 1.00000000000000 | -1.0000000000000 |
strutx | p01c | p10c | 1.00000000000000 | -0.7320508075689 |
tritena | p01a | p02a | 0.31698729810778 | 1.0000000000000 |
tritenb | p01b | p02b | 0.31698729810778 | 1.0000000000000 |
zztena | p01a | p01c | 0.25881904510252 | 1.4142135623731 |
zztenb | p01c | p07b | 0.25881904510252 | 1.4142135623731 |
This design was completed on November 3, 2004. I suppose it could be in Allen Back's and Bob Connelly's Catalogue of Symmetric Tensegrities somewhere, but I haven't been able to find it. This model is also available on the Tensegrity Viewer as "Three 6-Fold Prisms Merged".