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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
  1. 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
  1. 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
  1. 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

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