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PreprintCC BY 4.0arXiv

Panopticum of 3D snake models

  • Martin Doležal
  • Jan Slovák
Open at sourcePDFDOICite

Abstract

Motivated by the standard 2-dimensional 3-segment snake model, leading to the famous (2,3,5) geometry, we discuss a series of 3-dimensional models of similar snakes. In particular, we seek for rules allowing to steer them exclusively by the two joints, which expects 4-dimensional control freedom. This leads to interesting (4,9) and (4,10) models. Finally, we discuss modifications of the previous snakes which lead to (4,8) models. All of the models open further questions and should be a good baseline for further research.

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Cite

BibTeXRIS
BibTeX
@misc{dolezal2026panopticum,
  title = {{Panopticum of 3D snake models}},
  author = {Martin Doležal and Jan Slovák},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.19036},
  eprint = {2610.19036},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.19036},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Panopticum of 3D snake models
AU  - Martin Doležal
AU  - Jan Slovák
PY  - 2026
DA  - 2026/10/13
PB  - arXiv
DO  - 10.48550/arxiv.2610.19036
UR  - https://arxiv.org/abs/2610.19036
AB  - Motivated by the standard 2-dimensional 3-segment snake model, leading to the famous (2,3,5) geometry, we discuss a series of 3-dimensional models of similar snakes. In particular, we seek for rules allowing to steer them exclusively by the two joints, which expects 4-dimensional control freedom. This leads to interesting (4,9) and (4,10) models. Finally, we discuss modifications of the previous snakes which lead to (4,8) models. All of the models open further questions and should be a good baseline for further research.
ER  -