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Golden ratio in venation patterns of dragonfly wings

Keene Lu; Samson Shen; Lisa M. Miller; Xiaojing Huang · Scientific Reports · 2023 · Observational morphology with a geometric model

Original publication · Original publication · Original publication

Recorded summary

Measurements from 50 dragonfly wings reveal preferred intervein angles. A golden-angle and golden-ratio partition model describes selected features of the angle distributions.

Recorded limitations

Geometric agreement is observational. The analysis does not experimentally establish a developmental cause or prove that this arrangement optimizes wing performance.

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
Observational morphology with a geometric model
assessment
is Randomized Controlled Trial
false
blinding
Not applicable to a clinical-trial grade
basis
Observational morphology with a geometric model. No human randomized controlled trial is reported.
sources

https://www.nature.com/articles/s41598-023-34880-8

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
Observational morphology with a geometric model. No human randomized controlled trial is reported.
sources

https://pubmed.ncbi.nlm.nih.gov/37188747/ · https://www.nature.com/articles/s41598-023-34880-8

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
Observational morphology with a geometric model
evidence Class
biological_observation_and_model
measurement
Angular distributions from 50 dragonfly wings
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: Materials and method; Results and discussion; Golden-ratio partition model.
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-s41598-023-34880-8
doi
10.1038/s41598-023-34880-8
pmid
37188747
citation Snapshot
count
6
source
Crossref cited-by count
retrieved At
2026-10-24
url
https://api.crossref.org/works/10.1038/s41598-023-34880-8
field
is-referenced-by-count
source Indexed At
2026-07-02T12:25:54Z
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
6
Complete approved library record
id
nature-fibonacci-s41598-023-34880-8
aliases
None recorded
title
Golden ratio in venation patterns of dragonfly wings
journal
Scientific Reports
publisher Family
nature
publisher Family Label
Nature Portfolio
neurotransmitters
None recorded
year
2023
authors
Keene Lu; Samson Shen; Lisa M. Miller; Xiaojing Huang
design
Observational morphology with a geometric model
kind
Journal article
identity Conflict
Not recorded
doi
10.1038/s41598-023-34880-8
pmid
37188747
urls

https://www.nature.com/articles/s41598-023-34880-8 · https://doi.org/10.1038/s41598-023-34880-8 · https://pubmed.ncbi.nlm.nih.gov/37188747/

collections

general

categories

Fibonacci mathematics · Biological pattern formation

targets
None recorded
priority
1
quotes
None recorded
summary
Measurements from 50 dragonfly wings reveal preferred intervein angles. A golden-angle and golden-ratio partition model describes selected features of the angle distributions.
limitation
Geometric agreement is observational. The analysis does not experimentally establish a developmental cause or prove that this arrangement optimizes wing performance.
citation Count
6
citation Snapshot
count
6
source
Crossref cited-by count
retrieved At
2026-10-24
url
https://api.crossref.org/works/10.1038/s41598-023-34880-8
field
is-referenced-by-count
source Indexed At
2026-07-02T12:25:54Z
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
Observational morphology with a geometric model. No human randomized controlled trial is reported.
sources

https://www.nature.com/articles/s41598-023-34880-8

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
Observational morphology with a geometric model. No human randomized controlled trial is reported.
sources

https://pubmed.ncbi.nlm.nih.gov/37188747/ · https://www.nature.com/articles/s41598-023-34880-8

review Scope
Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
assessed At
2026-10-27
citations By Collection
general
6
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-s41598-023-34880-8
    title
    Golden ratio in venation patterns of dragonfly wings
    journal
    Scientific Reports
    year
    2023
    authors
    Keene Lu; Samson Shen; Lisa M. Miller; Xiaojing Huang
    doi
    10.1038/s41598-023-34880-8
    pmid
    37188747
    urls

    https://www.nature.com/articles/s41598-023-34880-8 · https://doi.org/10.1038/s41598-023-34880-8 · https://pubmed.ncbi.nlm.nih.gov/37188747/

    design
    Observational morphology with a geometric model
    summary
    Measurements from 50 dragonfly wings reveal preferred intervein angles. A golden-angle and golden-ratio partition model describes selected features of the angle distributions.
    limitation
    Geometric agreement is observational. The analysis does not experimentally establish a developmental cause or prove that this arrangement optimizes wing performance.
    citation Count
    6
    citation Snapshot
    count
    6
    source
    Crossref cited-by count
    retrieved At
    2026-10-24
    url
    https://api.crossref.org/works/10.1038/s41598-023-34880-8
    field
    is-referenced-by-count
    source Indexed At
    2026-07-02T12:25:54Z
    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
    Observational morphology with a geometric model
    evidence Class
    biological_observation_and_model
    measurement
    Angular distributions from 50 dragonfly wings
    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: Materials and method; Results and discussion; Golden-ratio partition model.
    full Paper Appraisal
    Not completed; review depth states the material assessed.
    record Id
    nature-fibonacci-s41598-023-34880-8
    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
    Observational morphology with a geometric model. No human randomized controlled trial is reported.
    sources

    https://pubmed.ncbi.nlm.nih.gov/37188747/ · https://www.nature.com/articles/s41598-023-34880-8

    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
    Observational morphology with a geometric model. No human randomized controlled trial is reported.
    sources

    https://www.nature.com/articles/s41598-023-34880-8

    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
Observational morphology with a geometric model
evidence Class
biological_observation_and_model
measurement
Angular distributions from 50 dragonfly wings
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: Materials and method; Results and discussion; Golden-ratio partition model.
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/s41598-023-34880-8
rights
license
http://creativecommons.org/licenses/by/4.0/
authors
Keene, Lu; Samson, Shen; Lisa M., Miller; Xiaojing, Huang
title
Golden ratio in venation patterns of dragonfly wings
doi
10.1038/s41598-023-34880-8
copyright
2023 The Author(s)
source
https://www.nature.com/articles/s41598-023-34880-8
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
c58e7745ae43c755dac4e27dc0030b8dbade38330ae05e38233cb49cd8dd6b65
checked At
2026-10-24

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