Buckminster Fuller's 60's Floating Compression/Tensegrity/Tension Integrity is a very important concept to me have reflected on for decades against standard technique support, and look to make sure purposefully that is not what am not trying to diagnose at the time.
We work all in tension with ropes, in Hitches and Bends as a pulling or holding framework must have at least that vertical high rigidity as work, and usually (99.9..%) the rigidity must be continuous , save this exception. In study of rope where the total rise can be shown as rigid parts but their support in turn between is not always rigid parts as normally see.
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i have a kinda standard Lego Tensegrity(above, gift from engineering son from our talks), there are also more advanced lego styles:
also i made a popsicle stick triangles style too. Have studied when shown over the years etc.
i was actually looking at playing with this in square shape in pvc next, then drill out corner holes to fill with expanding foam for more rigidity thru members. Am looking at actually cable/to not stretch that would change math on the center main tension, then was thinking a ProGrip in loop, at each corner from base to float(corners).
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As long as have the main holding, while limiting the Degrees of Freedom thru the other points to essentially maintain structure balance to the solo main you can get the 'float'.
Looking at trying in 3/4" as best co$t ratio. If evolve to 1"-2"pvc costs would look at putting old broom stick parts thru the vertical straights, as first bending moment that failure cascades out from in the Lego model. Still give internal foam finish with the broomstick in place. Also looking at slanting the 3ways(2) 45degrees, then finish with 45degrees back to vertical instead of the 90's to the center main. i think can also pitch the whole top 'yaw' 90degrees to not be the opposing mirrored left to right, but perhaps cross axis mirroing of left to rear matchings.
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There are some fancies too, this is in the $1600 range(Etsy), similar is shown on youtube as a diy.
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The fewer parts models i look at don't favor rope elasticity, but rather metal, Lego model is plastic chain links, but still not rope that would elongate over time and be a variable at start.
Was also looking to eye bolts to give an adjustment range at each point, once dialed in a few factor responses in rope friction hitches.
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As study structures Frank Lloyd Wright comes up many times, and there is much around me actually.
Buckminster Fuller was another astonishing architect in his own right and theories.
Please let us know what you come up with!