In this work, we introduce an approach to model topologically interlocked corrugated bricks that can be assembled in a water-tight manner (space-filling) to design a variety of spatial structures. Our approach takes inspiration from recently developed methods that utilize Voronoi tessellation of spatial domains by using symmetrically arranged Voronoi sites. However, in contrast to these existing methods, we focus our attention on Voronoi sites modeled using helical trajectories, which can provide corrugation and better interlocking. For symmetries, we only use affine transformations based on the Bravais lattice to avoid self-intersections. This methodology naturally results in structures that are both space-filling (owing to Voronoi tessellation) as well as interlocking by corrugation (owing to helical trajectories). The resulting shapes of the bricks appear to be similar to a variety of pasta noodles, thereby inspiring the names, Voronoi Spaghetti and VoroNoodles.
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This content will become publicly available on May 26, 2025
Methods of density estimation for pedestrians moving without a spatial boundary
For a group of pedestrians without any spatial boundaries, the methods of
density estimation is a wide area of research. Besides, there is a specific difficulty
when the density along one given pedestrian trajectory is needed in order to plot an
'individual-based' fundamental diagram. We illustrate why several methods become
ill-defined in this case. We then turn to the widely used Voronoi-cell based density
estimate. We show that for a typical situation of crossing flows of pedestrians,
Voronoi method has to be adapted to the small sample size. We conclude with
general remarks about the meaning of density measurements in such context.
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- Award ID(s):
- 1849446
- NSF-PAR ID:
- 10514717
- Editor(s):
- Rao, KR
- Publisher / Repository:
- Springer Nature
- Date Published:
- Journal Name:
- Traffic and Granular Flow ’22
- Page Range / eLocation ID:
- 43-50
- Format(s):
- Medium: X
- Location:
- Dehli, India
- Sponsoring Org:
- National Science Foundation
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