Voronoi Spaghetti & Noodles

 From:  bemfarmer
10983.1 
These objects should be constructable with MoI.

1. Voronoi Spaghetti & VoroNoodles. This movie version of the (unavailable?) paper is very interesting.
A helix spiral of line segments, (or curve segments), of variable progress length, (or points on them), converted to a plane of Voronoi closed curve(s), converted to thin slabs, and stacked up, form interlocking 3D shapes.
The Movie:
https://dl.acm.org/doi/abs/10.1145/3550340.3564229
This paper seems to be an evolved form of a few other papers using Voronoi shapes to build a 3D structure.
Patents pending...
Comparing and contrasting the 4 or so variations of papers, helps to understand what is being done. The progessive Voronoi shapes are created by changing point on the lines or curves, somehow.
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2. A precursor paper?:
Simple VoroNoodles using moving points on 2D fractals.
Each new points locations set, is for a new 3D layer.
Motion could be continous, or stepwise.

http://gallery.bridgesmathart.org/exhibitions/2022-bridges-conference-short-film-festival/cmullins7

The short movie of the simple VoroNoodles:
https://www.youtube.com/watch?v=3MB3P7AmiSY
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3. A (simpler?) precursor to the Voronoi Spaghetti?
LayerLock the movie:
https://www.youtube.com/watch?v=jSNbidsPiNI

The LayerLock paper will become publicly available Nov 1, 2023, according to:
https://par.nsf.gov/biblio/10353832-layerlock-layer-wise-collision-free-multi-robot-additive-manufacturing-using-topologically-interlocked-space-filling-shapes

4. This hard to understand paper uses 3D Voronoi decomposition of points on interwoven (2D) curves, arranged in 3D space:
file:///C:/Users/orcha/Downloads/Bi_Axial_Woven_Tiles_Interlocking_Space.pdf

- Brian