Optimal hash arrangement of tentacles in jellyfish
Takuya Okabe; Jin Yoshimura · Scientific Reports · 2016 · Biological observations with a mathematical optimality model
Original publication · Original publication · Original publication
Recorded summary
The authors relate previously reported jellyfish tentacle arrangements to Fibonacci hashing and derive an angular-spacing model that distributes a changing number of organs uniformly.
Recorded limitations
The biological observations come from earlier studies. Constant-angle development and a fitness advantage for uniform spacing are model assumptions; a controlled evolutionary test is absent.
Evidence and provenance
Chapter Trust Factor uses a minimum of three distinct qualifying studies. Publication records retain their own evidence and assessment.
Study design and assessment
- design
- Biological observations with a mathematical optimality model
- assessment
- is Randomized Controlled Trial
- false
- blinding
- Not applicable to a clinical-trial grade
- basis
- Biological observations with a mathematical optimality model. No human randomized controlled trial is reported.
- sources
https://www.nature.com/articles/srep27347
- category
- peer-reviewed
- peer Reviewed
- true
- trust Factor
- score
- 1
- scope
- Paper
- status
- assessed
- randomized Controlled Trial
- false
- blinding
- not-confirmed
- peer Reviewed
- true
- basis
- Biological observations with a mathematical optimality model. No human randomized controlled trial is reported.
- sources
https://pubmed.ncbi.nlm.nih.gov/27273762/ · https://www.nature.com/articles/srep27347
- review Scope
- Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
- assessed At
- 2026-10-27
- jadad
- status
- not-applicable
- score
- Not recorded
- reason
- Not a human randomized controlled trial.
- evidence
- evidence Type
- Biological observations with a mathematical optimality model
- evidence Class
- biological_observation_and_model
- measurement
- Prior observations of hydromedusan tentacles; mathematical spacing theorem
- measured Genes
- None recorded
- pathways
- None recorded
- relationship Note
- Background literature only. This paper does not test or validate an OXTR–Fibonacci relationship.
- clinical Evidence
- false
- review Depth
- Abstract and selected source passages: Introduction; Theorem S..
- full Paper Appraisal
- Not completed; review depth states the material assessed.
Topics and recorded topic scores
- key
- general:fibonacci-biological-patterns
- title
- Biological patterns and developmental mechanisms
- collection
- general
- trust Score
- 1
Citation snapshot and identifiers
- id
- nature-fibonacci-srep27347
- doi
- 10.1038/srep27347
- pmid
- 27273762
- citation Snapshot
- count
- 2
- source
- Crossref cited-by count
- retrieved At
- 2026-10-24
- url
- https://api.crossref.org/works/10.1038/srep27347
- field
- is-referenced-by-count
- source Indexed At
- 2026-04-29T12:53:44Z
- coverage Note
- Count reflects Crossref-deposited references and can differ from publisher or other database totals. It is not a quality or clinical-evidence score.
- citations By Collection
- general
- 2
Complete approved library record
- id
- nature-fibonacci-srep27347
- aliases
- None recorded
- title
- Optimal hash arrangement of tentacles in jellyfish
- journal
- Scientific Reports
- publisher Family
- nature
- publisher Family Label
- Nature Portfolio
- neurotransmitters
- None recorded
- year
- 2016
- authors
- Takuya Okabe; Jin Yoshimura
- design
- Biological observations with a mathematical optimality model
- kind
- Journal article
- identity Conflict
- Not recorded
- doi
- 10.1038/srep27347
- pmid
- 27273762
- urls
https://www.nature.com/articles/srep27347 · https://doi.org/10.1038/srep27347 · https://pubmed.ncbi.nlm.nih.gov/27273762/
- collections
general
- categories
Fibonacci mathematics · Biological pattern formation
- targets
- None recorded
- priority
- 1
- quotes
- None recorded
- summary
- The authors relate previously reported jellyfish tentacle arrangements to Fibonacci hashing and derive an angular-spacing model that distributes a changing number of organs uniformly.
- limitation
- The biological observations come from earlier studies. Constant-angle development and a fitness advantage for uniform spacing are model assumptions; a controlled evolutionary test is absent.
- citation Count
- 2
- citation Snapshot
- count
- 2
- source
- Crossref cited-by count
- retrieved At
- 2026-10-24
- url
- https://api.crossref.org/works/10.1038/srep27347
- field
- is-referenced-by-count
- source Indexed At
- 2026-04-29T12:53:44Z
- coverage Note
- Count reflects Crossref-deposited references and can differ from publisher or other database totals. It is not a quality or clinical-evidence score.
- study Design Assessment
- is Randomized Controlled Trial
- false
- blinding
- Not applicable to a clinical-trial grade
- basis
- Biological observations with a mathematical optimality model. No human randomized controlled trial is reported.
- sources
https://www.nature.com/articles/srep27347
- category
- peer-reviewed
- peer Reviewed
- true
- paper Trust Assessment
- score
- 1
- scope
- Paper
- status
- assessed
- randomized Controlled Trial
- false
- blinding
- not-confirmed
- peer Reviewed
- true
- basis
- Biological observations with a mathematical optimality model. No human randomized controlled trial is reported.
- sources
https://pubmed.ncbi.nlm.nih.gov/27273762/ · https://www.nature.com/articles/srep27347
- review Scope
- Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
- assessed At
- 2026-10-27
- citations By Collection
- general
- 2
- topics
- key
- general:fibonacci-biological-patterns
- title
- Biological patterns and developmental mechanisms
- collection
- general
- trust Score
- 1
- journal Key
- scientificreports
- journal Label
- Scientific Reports
- chapter Entries
- id
- general-nature-fibonacci-srep27347
- title
- Optimal hash arrangement of tentacles in jellyfish
- journal
- Scientific Reports
- year
- 2016
- authors
- Takuya Okabe; Jin Yoshimura
- doi
- 10.1038/srep27347
- pmid
- 27273762
- urls
https://www.nature.com/articles/srep27347 · https://doi.org/10.1038/srep27347 · https://pubmed.ncbi.nlm.nih.gov/27273762/
- design
- Biological observations with a mathematical optimality model
- summary
- The authors relate previously reported jellyfish tentacle arrangements to Fibonacci hashing and derive an angular-spacing model that distributes a changing number of organs uniformly.
- limitation
- The biological observations come from earlier studies. Constant-angle development and a fitness advantage for uniform spacing are model assumptions; a controlled evolutionary test is absent.
- citation Count
- 2
- citation Snapshot
- count
- 2
- source
- Crossref cited-by count
- retrieved At
- 2026-10-24
- url
- https://api.crossref.org/works/10.1038/srep27347
- field
- is-referenced-by-count
- source Indexed At
- 2026-04-29T12:53:44Z
- coverage Note
- Count reflects Crossref-deposited references and can differ from publisher or other database totals. It is not a quality or clinical-evidence score.
- categories
Fibonacci mathematics · Biological pattern formation
- targets
- None recorded
- evidence
- evidence Type
- Biological observations with a mathematical optimality model
- evidence Class
- biological_observation_and_model
- measurement
- Prior observations of hydromedusan tentacles; mathematical spacing theorem
- measured Genes
- None recorded
- pathways
- None recorded
- relationship Note
- Background literature only. This paper does not test or validate an OXTR–Fibonacci relationship.
- clinical Evidence
- false
- review Depth
- Abstract and selected source passages: Introduction; Theorem S..
- full Paper Appraisal
- Not completed; review depth states the material assessed.
- record Id
- nature-fibonacci-srep27347
- quotes
- None recorded
- source Pages
- None recorded
- paper Trust Assessment
- score
- 1
- scope
- Paper
- status
- assessed
- randomized Controlled Trial
- false
- blinding
- not-confirmed
- peer Reviewed
- true
- basis
- Biological observations with a mathematical optimality model. No human randomized controlled trial is reported.
- sources
https://pubmed.ncbi.nlm.nih.gov/27273762/ · https://www.nature.com/articles/srep27347
- review Scope
- Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
- assessed At
- 2026-10-27
- study Design Assessment
- is Randomized Controlled Trial
- false
- blinding
- Not applicable to a clinical-trial grade
- basis
- Biological observations with a mathematical optimality model. No human randomized controlled trial is reported.
- sources
https://www.nature.com/articles/srep27347
- category
- peer-reviewed
- peer Reviewed
- true
- collection
- general
- chapter Number
- 9
- topic Id
- fibonacci-biological-patterns
- topic Title
- Biological patterns and developmental mechanisms
- trust Score
- 1
- evidence
- evidence Type
- Biological observations with a mathematical optimality model
- evidence Class
- biological_observation_and_model
- measurement
- Prior observations of hydromedusan tentacles; mathematical spacing theorem
- measured Genes
- None recorded
- pathways
- None recorded
- relationship Note
- Background literature only. This paper does not test or validate an OXTR–Fibonacci relationship.
- clinical Evidence
- false
- review Depth
- Abstract and selected source passages: Introduction; Theorem S..
- full Paper Appraisal
- Not completed; review depth states the material assessed.
- jadad
- status
- not-applicable
- score
- Not recorded
- reason
- Not a human randomized controlled trial.
- condition Evidence
- None recorded
- conditions
- None recorded
- topic Trust Scores
1
- full Text
- status
- open-license
- retrieval Available
- true
- url
- https://www.nature.com/articles/srep27347
- rights
- license
- http://creativecommons.org/licenses/by/4.0/
- authors
- Takuya, Okabe; Jin, Yoshimura
- title
- Optimal hash arrangement of tentacles in jellyfish
- doi
- 10.1038/srep27347
- copyright
- 2016 The Author(s)
- source
- https://www.nature.com/articles/srep27347
- transformation
- Article sections extracted to plain text; navigation and recommendation sections removed. Equations, tables and image content may be incomplete; use the source for technical interpretation.
- sha256
- 6151b5be1c1764981cde4e05d1b075605b288ef027edd8bc680c9b49a1a93357
- checked At
- 2026-10-24