↓ Skip to main content

Fermat’s Principle of Least Time Predicts Refraction of Ant Trails at Substrate Borders

Overview of attention for article published in PLOS ONE, March 2013
Altmetric Badge

About this Attention Score

  • In the top 5% of all research outputs scored by Altmetric
  • High Attention Score compared to outputs of the same age (98th percentile)
  • High Attention Score compared to outputs of the same age and source (97th percentile)

Mentioned by

news
2 news outlets
blogs
5 blogs
twitter
30 X users
facebook
4 Facebook pages
googleplus
1 Google+ user

Citations

dimensions_citation
30 Dimensions

Readers on

mendeley
79 Mendeley
You are seeing a free-to-access but limited selection of the activity Altmetric has collected about this research output. Click here to find out more.
Title
Fermat’s Principle of Least Time Predicts Refraction of Ant Trails at Substrate Borders
Published in
PLOS ONE, March 2013
DOI 10.1371/journal.pone.0059739
Pubmed ID
Authors

Jan Oettler, Volker S. Schmid, Niko Zankl, Olivier Rey, Andreas Dress, Jürgen Heinze

Abstract

Fermat's principle of least time states that light rays passing through different media follow the fastest (and not the most direct) path between two points, leading to refraction at medium borders. Humans intuitively employ this rule, e.g., when a lifeguard has to infer the fastest way to traverse both beach and water to reach a swimmer in need. Here, we tested whether foraging ants also follow Fermat's principle when forced to travel on two surfaces that differentially affected the ants' walking speed. Workers of the little fire ant, Wasmannia auropunctata, established "refracted" pheromone trails to a food source. These trails deviated from the most direct path, but were not different to paths predicted by Fermat's principle. Our results demonstrate a new aspect of decentralized optimization and underline the versatility of the simple yet robust rules governing the self-organization of group-living animals.

X Demographics

X Demographics

The data shown below were collected from the profiles of 30 X users who shared this research output. Click here to find out more about how the information was compiled.
Mendeley readers

Mendeley readers

The data shown below were compiled from readership statistics for 79 Mendeley readers of this research output. Click here to see the associated Mendeley record.

Geographical breakdown

Country Count As %
United States 3 4%
Germany 2 3%
Brazil 2 3%
Israel 1 1%
Spain 1 1%
Luxembourg 1 1%
Unknown 69 87%

Demographic breakdown

Readers by professional status Count As %
Student > Ph. D. Student 18 23%
Researcher 14 18%
Other 10 13%
Student > Master 8 10%
Professor 4 5%
Other 16 20%
Unknown 9 11%
Readers by discipline Count As %
Agricultural and Biological Sciences 28 35%
Physics and Astronomy 16 20%
Computer Science 4 5%
Neuroscience 3 4%
Mathematics 3 4%
Other 15 19%
Unknown 10 13%
Attention Score in Context

Attention Score in Context

This research output has an Altmetric Attention Score of 77. This is our high-level measure of the quality and quantity of online attention that it has received. This Attention Score, as well as the ranking and number of research outputs shown below, was calculated when the research output was last mentioned on 04 August 2023.
All research outputs
#553,305
of 25,378,162 outputs
Outputs from PLOS ONE
#7,597
of 220,604 outputs
Outputs of similar age
#3,666
of 210,130 outputs
Outputs of similar age from PLOS ONE
#163
of 5,448 outputs
Altmetric has tracked 25,378,162 research outputs across all sources so far. Compared to these this one has done particularly well and is in the 97th percentile: it's in the top 5% of all research outputs ever tracked by Altmetric.
So far Altmetric has tracked 220,604 research outputs from this source. They typically receive a lot more attention than average, with a mean Attention Score of 15.7. This one has done particularly well, scoring higher than 96% of its peers.
Older research outputs will score higher simply because they've had more time to accumulate mentions. To account for age we can compare this Altmetric Attention Score to the 210,130 tracked outputs that were published within six weeks on either side of this one in any source. This one has done particularly well, scoring higher than 98% of its contemporaries.
We're also able to compare this research output to 5,448 others from the same source and published within six weeks on either side of this one. This one has done particularly well, scoring higher than 97% of its contemporaries.