Starting from a circular mesh and corresponding conical mesh (found with Kangaroo), it is possible to create a single degree of freedom moving structure...
and I believe the same construction will work on any conical mesh which is 2-colourable (ie its faces can be assigned a checkerboard pattern of clockwise/anti-clockwise rotation)
Daniel Piker
Apr 11, 2013
djordje
Wonderful.
Apr 11, 2013
Nick Tyrer
Daniel, does 'single degree of freedom' mean that if each of these joints was a hinge. this surface would physically work?
Apr 11, 2013
Daniel Piker
Nick - exactly!
Apr 11, 2013
Nick Tyrer
Daniel - Awesome!
Apr 11, 2013
Daniel Piker
To clarify a bit, the connections are the sort of binary hinges shown in this video:
http://www.youtube.com/watch?v=FfViCWntbDQ
So there are actually 2 intersecting axes of rotation, as described here:
http://somim.org.mx/conference_proceedings/pdfs/A11/A11_281.pdf
and I believe the same construction will work on any conical mesh which is 2-colourable (ie its faces can be assigned a checkerboard pattern of clockwise/anti-clockwise rotation)
Apr 11, 2013
djordje
Love the way you elaborate your replies Daneil!
This community truly has a golden contributor.
Apr 11, 2013