-
-
2 replies 7 retweets 68 likesShow this thread
-
Replying to @KangarooPhysics
Neat! Is it based on the T-graphs in Kenyon & Sheffield's "Dimers, tilings and trees"?
1 reply 0 retweets 1 like -
Replying to @blockspins
It was indeed inspired by Kenyon's work, but my construction is as follows: -Relax a network of zero rest length springs(blue) -Construct the Maxwell reciprocal figure(red) -Form a new quad grid(green) using the above 2 networks as the diagonals...pic.twitter.com/ivmCYgs99O
2 replies 3 retweets 7 likes -
Replying to @KangarooPhysics @blockspins
-As the diagonals of this new grid are orthogonal and of equal length, the Varignon parallelogram is a square, allowing the white construction for any angle.
2 replies 0 retweets 1 like -
Replying to @KangarooPhysics @blockspins
Daniel Piker Retweeted Daniel Piker
I was playing with some similar ideas a while back: https://twitter.com/KangarooPhysics/status/1075019191651102720 … https://twitter.com/KangarooPhysics/status/1073264796466851841 … but it's only recently this way of connecting it with zero length springs and graphic statics became clear to me.
Daniel Piker added,
1 reply 0 retweets 4 likes -
Replying to @KangarooPhysics @blockspins
There's also this nice new paper on a related checkerboard construction here http://www.pengchihan.co/?page_id=14
1 reply 0 retweets 1 like
The connections between graphical statics and discrete conformal maps run deep indeed... I think this paper of Schief, Bobenko and Hoffmann should be related too (though it discusses quad-meshes deforming isometrically in 3D) http://page.math.tu-berlin.de/~bobenko/papers/2008_Bob_Hof_Sch.pdf …
-
-
Replying to @blockspins @KangarooPhysics
Thank you for the link to the paper of Peng, Jiang, Wonka and Pottmann! It looks very interesting.
0 replies 0 retweets 0 likesThanks. Twitter will use this to make your timeline better. UndoUndo
-
Loading seems to be taking a while.
Twitter may be over capacity or experiencing a momentary hiccup. Try again or visit Twitter Status for more information.