Mathematical modeling and computer simulation of the three-dimensional pattern formation of honeycombs
- Authors
- Jeong, Darae; Li, Yibao; Kim, Sangkwon; Choi, Yongho; Lee, Chaeyoung; Kim, Junseok
- Issue Date
- 30-12월-2019
- Publisher
- NATURE PUBLISHING GROUP
- Citation
- SCIENTIFIC REPORTS, v.9
- Indexed
- SCIE
SCOPUS
- Journal Title
- SCIENTIFIC REPORTS
- Volume
- 9
- URI
- https://scholar.korea.ac.kr/handle/2021.sw.korea/60865
- DOI
- 10.1038/s41598-019-56942-6
- ISSN
- 2045-2322
- Abstract
- We present a mathematical model, a numerical scheme, and computer simulations of the three-dimensional pattern formation of a honeycomb structure by using the immersed boundary method. In our model, we assume that initially the honeycomb cells have a hollow hemisphere mounted by a hollow circular cylinder shape at their birth and there is force acting upon the entire side of the cell. The net force from the individual cells is a key factor in their transformation from a hollow hemisphere mounted by a hollow circular cylinder shape to a rounded rhombohedral surfaces mounted by a hexagonal cylinder shape. Numerical simulations of the proposed mathematical model equation produce the rounded rhombohedral surfaces mounted by a hexagonal cylinder patterns observed in honeybee colonies.
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Collections - College of Science > Department of Mathematics > 1. Journal Articles
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