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Explosive Fibonacci-sequence growth into unusual sector-face morphology in poly(l-lactic acid) crystallized with polymeric diluents

Graecia Lugito; Selvaraj Nagarajan; Eamor M. Woo · Scientific Reports · 2020 · Polymer-crystallization microscopy and scattering experiments

Original publication · Original publication · Original publication

Recorded summary

In diluted poly(l-lactic acid) crystals, microscopy reveals branching lamellar sectors whose branch counts grow approximately along a Fibonacci sequence. Thermal and scattering measurements characterize the resulting structures.

Recorded limitations

The authors describe approximate counts and acknowledge difficulty distinguishing branches. The polymers and crystallization conditions are specific; this is not evidence for a universal exact growth law.

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
Polymer-crystallization microscopy and scattering experiments
assessment
is Randomized Controlled Trial
false
blinding
Not applicable to a clinical-trial grade
basis
Polymer-crystallization microscopy and scattering experiments. No human randomized controlled trial is reported.
sources

https://www.nature.com/articles/s41598-020-67567-5

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
Polymer-crystallization microscopy and scattering experiments. No human randomized controlled trial is reported.
sources

https://pubmed.ncbi.nlm.nih.gov/32616728/ · https://www.nature.com/articles/s41598-020-67567-5

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
Polymer-crystallization microscopy and scattering experiments
evidence Class
physical_observation
measurement
PLLA with polymeric diluents; microscopy, calorimetry and scattering
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: Results and discussion; Conclusion.
full Paper Appraisal
Not completed; review depth states the material assessed.
Topics and recorded topic scores
  1. key
    general:fibonacci-aperiodic-structures
    title
    Aperiodic structures and wave computation
    collection
    general
    trust Score
    1
Citation snapshot and identifiers
id
nature-fibonacci-s41598-020-67567-5
doi
10.1038/s41598-020-67567-5
pmid
32616728
citation Snapshot
count
14
source
Crossref cited-by count
retrieved At
2026-10-24
url
https://api.crossref.org/works/10.1038/s41598-020-67567-5
field
is-referenced-by-count
source Indexed At
2026-05-11T18:10:16Z
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
14
Complete approved library record
id
nature-fibonacci-s41598-020-67567-5
aliases
None recorded
title
Explosive Fibonacci-sequence growth into unusual sector-face morphology in poly(l-lactic acid) crystallized with polymeric diluents
journal
Scientific Reports
publisher Family
nature
publisher Family Label
Nature Portfolio
neurotransmitters
None recorded
year
2020
authors
Graecia Lugito; Selvaraj Nagarajan; Eamor M. Woo
design
Polymer-crystallization microscopy and scattering experiments
kind
Journal article
identity Conflict
Not recorded
doi
10.1038/s41598-020-67567-5
pmid
32616728
urls

https://www.nature.com/articles/s41598-020-67567-5 · https://doi.org/10.1038/s41598-020-67567-5 · https://pubmed.ncbi.nlm.nih.gov/32616728/

collections

general

categories

Fibonacci mathematics · Aperiodic structures

targets
None recorded
priority
1
quotes
None recorded
summary
In diluted poly(l-lactic acid) crystals, microscopy reveals branching lamellar sectors whose branch counts grow approximately along a Fibonacci sequence. Thermal and scattering measurements characterize the resulting structures.
limitation
The authors describe approximate counts and acknowledge difficulty distinguishing branches. The polymers and crystallization conditions are specific; this is not evidence for a universal exact growth law.
citation Count
14
citation Snapshot
count
14
source
Crossref cited-by count
retrieved At
2026-10-24
url
https://api.crossref.org/works/10.1038/s41598-020-67567-5
field
is-referenced-by-count
source Indexed At
2026-05-11T18:10:16Z
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
Polymer-crystallization microscopy and scattering experiments. No human randomized controlled trial is reported.
sources

https://www.nature.com/articles/s41598-020-67567-5

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
Polymer-crystallization microscopy and scattering experiments. No human randomized controlled trial is reported.
sources

https://pubmed.ncbi.nlm.nih.gov/32616728/ · https://www.nature.com/articles/s41598-020-67567-5

review Scope
Existing publication-specific assessments and bibliographic indexing; no blanket full-text appraisal.
assessed At
2026-10-27
citations By Collection
general
14
topics
  1. key
    general:fibonacci-aperiodic-structures
    title
    Aperiodic structures and wave computation
    collection
    general
    trust Score
    1
journal Key
scientificreports
journal Label
Scientific Reports
chapter Entries
  1. id
    general-nature-fibonacci-s41598-020-67567-5
    title
    Explosive Fibonacci-sequence growth into unusual sector-face morphology in poly(l-lactic acid) crystallized with polymeric diluents
    journal
    Scientific Reports
    year
    2020
    authors
    Graecia Lugito; Selvaraj Nagarajan; Eamor M. Woo
    doi
    10.1038/s41598-020-67567-5
    pmid
    32616728
    urls

    https://www.nature.com/articles/s41598-020-67567-5 · https://doi.org/10.1038/s41598-020-67567-5 · https://pubmed.ncbi.nlm.nih.gov/32616728/

    design
    Polymer-crystallization microscopy and scattering experiments
    summary
    In diluted poly(l-lactic acid) crystals, microscopy reveals branching lamellar sectors whose branch counts grow approximately along a Fibonacci sequence. Thermal and scattering measurements characterize the resulting structures.
    limitation
    The authors describe approximate counts and acknowledge difficulty distinguishing branches. The polymers and crystallization conditions are specific; this is not evidence for a universal exact growth law.
    citation Count
    14
    citation Snapshot
    count
    14
    source
    Crossref cited-by count
    retrieved At
    2026-10-24
    url
    https://api.crossref.org/works/10.1038/s41598-020-67567-5
    field
    is-referenced-by-count
    source Indexed At
    2026-05-11T18:10:16Z
    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 · Aperiodic structures

    targets
    None recorded
    evidence
    evidence Type
    Polymer-crystallization microscopy and scattering experiments
    evidence Class
    physical_observation
    measurement
    PLLA with polymeric diluents; microscopy, calorimetry and scattering
    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: Results and discussion; Conclusion.
    full Paper Appraisal
    Not completed; review depth states the material assessed.
    record Id
    nature-fibonacci-s41598-020-67567-5
    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
    Polymer-crystallization microscopy and scattering experiments. No human randomized controlled trial is reported.
    sources

    https://pubmed.ncbi.nlm.nih.gov/32616728/ · https://www.nature.com/articles/s41598-020-67567-5

    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
    Polymer-crystallization microscopy and scattering experiments. No human randomized controlled trial is reported.
    sources

    https://www.nature.com/articles/s41598-020-67567-5

    category
    peer-reviewed
    peer Reviewed
    true
    collection
    general
    chapter Number
    9
    topic Id
    fibonacci-aperiodic-structures
    topic Title
    Aperiodic structures and wave computation
    trust Score
    1
evidence
evidence Type
Polymer-crystallization microscopy and scattering experiments
evidence Class
physical_observation
measurement
PLLA with polymeric diluents; microscopy, calorimetry and scattering
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: Results and discussion; Conclusion.
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/s41598-020-67567-5
rights
license
http://creativecommons.org/licenses/by/4.0/
authors
Graecia, Lugito; Selvaraj, Nagarajan; Eamor M., Woo
title
Explosive Fibonacci-sequence growth into unusual sector-face morphology in poly(l-lactic acid) crystallized with polymeric diluents
doi
10.1038/s41598-020-67567-5
copyright
2020 The Author(s)
source
https://www.nature.com/articles/s41598-020-67567-5
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
583942e235a33a8d55f28dcd14413c3899e75f05f21410d608b9eca61d400f2d
checked At
2026-10-24

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