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https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
http://purl.org/dc/terms/description
The synthetic gate was run first and passed. Every JPEG or PNG in the Wikimedia Commons category Helianthus annuus (fruit) with a shorter side of at least 800 pixels was downloaded, hashed, resized to a shorter side of 900 pixels, and decoded to gray with ffmpeg. Blob scale was then chosen by the smallest coefficient of variation of nearest-neighbour distance among background widths 12, 18, 24, 36 and 48 pixels and both polarities, restricted to detections of 150 to 2500 points. The intersection angle is the smaller angle between the two shortest nearest-neighbour directions, averaged in three radial bands. A head counted only if it met the pre-registered lattice rules. Dryad file 4661, the pre-registered fallback, returned HTTP 401, so it was not measured. The verdict is the pre-registered rule applied to the two heads that passed.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
http://www.w3.org/1999/02/22-rdf-syntax-ns#type
https://w3id.org/delphi/ontology/Assessment
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
http://www.w3.org/2000/01/rdf-schema#comment
Measured: 67.514 median head-mean intersection angle, degrees (n = 2, head-mean min 66.69, max 68.34; range-of-bands median 4.66). Interpretation: Thompson's sentence is read as a claim about the spirals on a sunflower disc, which is the case he is contrasting with Church: they cross isogonally (one angle along the disc), and a right angle is only a particular, uncommon case of two logarithmic spirals about one pole. 'The spirals' are operationalized as the two locally conspicuous contact directions at each seed: the two shortest distinct nearest-neighbour lattice directions. Their intersection angle is the smaller angle between those two undirected lines, in (0, 90] degrees. 'Isogonal' means that angle's band means change by at most 15° from the inner band to the outer band. 'Orthogonal' means a head-mean of at least 85° (within 5° of a right angle). This is the crossing a viewer sees between the parastichies that are actually in contact at that radius. It is not the angle of one fixed index-step family followed from centre to rim; that reading is not used, because assigning a generative index from a photograph is unstable once seeds are missed, and it was set aside before any photograph was measured. The same measurement on a Vogel (equal-area, golden-angle) lattice is nearly constant and near 78°, so it counts as isogonal and not orthogonal; a logarithmic spiral with plastochron ratio 1.02 is isogonal and orthogonal. Those two synthetics are the method gate, not evidence about sunflowers. Scope is Helianthus annuus capitula. Other inflorescences are not tested. No assessment score is used.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
http://www.w3.org/2000/01/rdf-schema#label
Claim test of thompson1917-ch14-02 (pr-129): inconclusive, confidence 0.72
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
http://www.w3.org/2000/01/rdf-schema#seeAlso
https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/thompson-growth-form/thompson1917-ch14-02/pr-129/result.json
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https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/admissibleDatasets
Openly licensed photographs of Helianthus annuus capitula in which individual seeds or florets are visible, taken independently of Thompson's text. The primary source is every JPEG or PNG in Wikimedia Commons category 'Helianthus annuus (fruit)' whose shorter side is at least 800 pixels. The Dryad Turing's Sunflowers annotated-image zip (doi:10.5061/dryad.f9k77) is admissible only as a pre-registered fallback if the Wikimedia category yields fewer than 5 usable heads, and then only the first 40 raster images in alphabetical path order. Counts without positions are not admissible. Images are not hand-picked.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/assessmentType
claim-test/0.1.0
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/dataKind
biological
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/disconfirmingObservation
Either the band-mean range is at least 30° on at least 70% of usable heads, or the angle is steady and the head-mean is at least 85° on at least half of usable heads. A lattice that cannot be resolved, or fewer than 5 usable heads, does not confirm or refute the claim.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/evidenceAgainst
A head-mean of 85° is the pre-registered boundary of 'orthogonal'. Angles near that boundary are not reclassified.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/evidenceAgainst
Confidence 0.72 is confidence that the registered sample-size rule makes the verdict inconclusive, not a confidence that the crossing angle has been settled.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/evidenceAgainst
Resizing to 900 pixels on the short side was fixed before measurement so that the pre-registered pixel-scale filters match the synthetic disc they were written for.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/evidenceAgainst
Seed centres are automatic blobs. A head whose seeds are occluded, glossy, or not seen face-on fails the lattice standard-deviation rule and is not counted.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/evidenceAgainst
The Dryad annotation zip (file 4661) returned HTTP 401 to a scripted download, so the fallback sample was not measured.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/evidenceAgainst
The angle is the crossing of the two locally shortest contact directions, not the angle of one fixed parastichy family followed from the centre to the rim.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/evidenceAgainst
The sample is whatever the open category contained on the retrieval day, mostly cultivated Helianthus annuus, not a designed sample of capitula.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/evidenceAgainst
Two heads passed the lattice rule (head-means 66.7° and 68.3°, band ranges 0.4° and 8.9°). Both are inside the isogonal band and outside the orthogonal band, but two heads are below the pre-registered minimum of five, so they are not a support.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/expectedObservation
On real sunflower seed heads, the angle between the two shortest contact directions is steady across radius (band-mean range ≤ 15° on at least 70% of usable heads) and the head-mean is below 85° for more than 75% of usable heads.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/failCriterion
Pre-registered (refutes). After the method gate passes and with at least 5 usable capitula: either at least 70% of usable capitula have a radial range ≥ 30° (the crossing angle is not constant), or at least 70% have range ≤ 15° and at least 50% have head-mean ≥ 85° (the crossing is constant and typically orthogonal). If at least 5 capitula are usable and neither the pass nor the fail rule is met, the verdict is mixed. If the method gate fails, the verdict is inconclusive with reason other and the biological counts are not interpreted. If no capitulum is usable, inconclusive with reason data-unavailable. If 1 to 4 capitula are usable, inconclusive with reason underpowered.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/hasConfidence
0.72
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
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https://w3id.org/delphi/ontology/hasVerdict
inconclusive
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/hypothesis
On a sunflower capitulum the two locally conspicuous opposed parastichies cross at an angle that stays about the same from the inner disc to the rim, and a right-angle crossing is an uncommon special case rather than the typical one.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/inferenceMethod
At each detected seed between 0.40 R and 0.90 R (R = 95th percentile of distance from the mean of the points), take the 6 nearest neighbours, cluster their undirected directions at 18°, and record the smaller angle between the lines of the two shortest clusters. Average that angle in three radial bands [0.40, 0.567), [0.567, 0.733), [0.733, 0.90). A head is usable only if both dark-blob and bright-blob detectors are tried and at least one yields ≥ 150 points, ≥ 25 angles in every band, every band's sample standard deviation ≤ 18°, and at least 15% of points inside 0.5 R. If both polarities are usable, keep the one with more points. Thresholds are those in pass_criterion and fail_criterion. A synthetic method gate must pass before those thresholds are applied to photographs.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/passCriterion
Pre-registered (supports). After the method gate below passes: among usable capitula, at least 70% have a radial range of band-mean intersection angles ≤ 15°, and at most 25% have a head-mean intersection angle ≥ 85°. At least 5 usable capitula are required.
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/delphi/ontology/preregistered
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http://purl.org/dc/terms/description
unannotated photographs of sunflower fruits and capitula
https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
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per-file; see files
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https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
http://www.w3.org/2000/01/rdf-schema#label
Dataset: Wikimedia Commons category Helianthus annuus (fruit)
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https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
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https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
sha256:b90219c8a29e899b637f74eca8a9b1085871f00dccdcf3cac3e774ddaa7c927f
https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
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https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
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https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
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https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
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https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
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https://w3id.org/delphi/ontology/hasChecksum
sha256:cb3095d938d77b48965421e9d3d48df1e3f14b98e64b3f02572ed49e987294ff
https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
sha256:cdc85617bb17c19bdb1e96c8d6206cf90b5e189f6691ecd701a51a0498499729
https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
sha256:cea16e981f3cb80548875564098a5ef1f085873fc66674c0827457f0efe41027
https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
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https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
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https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
sha256:dc921c182c56bf93e19480e0296b03b04fa7deee6a4d8d0ec679e6e56a93f287
https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
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https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
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https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
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https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
sha256:f634911e7b0ffe422f4e716019b85eec6dc342b3ddf5a18a277c216314c01804
https://w3id.org/delphi/resource/evidence/thompson1917-ch14-02--claim-test--pr-129--dataset-1
https://w3id.org/delphi/ontology/hasChecksum
sha256:f75200148d96fd9a3f4f327f65df2a342c00097b09cc0680977150a083077c7e
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/provenance
https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7
http://www.w3.org/1999/02/22-rdf-syntax-ns#type
http://www.w3.org/ns/prov#SoftwareAgent
https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7
http://www.w3.org/2000/01/rdf-schema#label
delphisci claim tester (grok-4.7; cursor/thompson-ch14-spiral-angle-ecd6)
https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7
http://www.w3.org/ns/prov#actedOnBehalfOf
https://orcid.org/0009-0007-4948-9192
https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7
https://w3id.org/delphi/ontology/usesModel
https://w3id.org/delphi/resource/model/grok-4-7
https://w3id.org/delphi/resource/model/grok-4-7
http://purl.org/dc/terms/identifier
grok-4.7
https://w3id.org/delphi/resource/model/grok-4-7
http://www.w3.org/1999/02/22-rdf-syntax-ns#type
https://w3id.org/delphi/ontology/LanguageModel
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/assertion
http://www.w3.org/ns/prov#wasAttributedTo
https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/assertion
http://www.w3.org/ns/prov#wasDerivedFrom
https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/thompson-growth-form/thompson1917-ch14-02/pr-129/result.json
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/assertion
http://www.w3.org/ns/prov#wasGeneratedBy
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/test
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/plan
http://www.w3.org/ns/prov#hadPlan
https://github.com/fractastical/delphisci/blob/bf2af6ee0a84e23ffa6414ad7a0a50a8c276506e/test-data/claim-tests/README.md
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/test
http://www.w3.org/1999/02/22-rdf-syntax-ns#type
http://www.w3.org/ns/prov#Activity
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/test
http://www.w3.org/ns/prov#qualifiedAssociation
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/plan
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/test
http://www.w3.org/ns/prov#wasAssociatedWith
https://w3id.org/delphi/resource/agent/delphisci-claim-tester-grok-4-7
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/pubinfo
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s
http://purl.org/dc/terms/created
2026-11-08T16:24:31.908Z
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s
http://purl.org/dc/terms/creator
https://orcid.org/0009-0007-4948-9192
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s
http://purl.org/dc/terms/license
https://creativecommons.org/licenses/by/4.0/
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s
http://purl.org/nanopub/x/hasNanopubType
https://w3id.org/delphi/ontology/Assessment
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s
http://purl.org/nanopub/x/introduces
https://w3id.org/delphi/resource/assessment/thompson1917-ch14-02--claim-test--pr-129
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s
http://www.w3.org/2000/01/rdf-schema#label
Claim test of thompson1917-ch14-02 (pr-129): inconclusive, confidence 0.72
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s
https://w3id.org/delphi/ontology/domain
https://w3id.org/delphi/resource/domain/thompson-growth-form-1917
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/sig
http://purl.org/nanopub/x/hasAlgorithm
RSA
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/sig
http://purl.org/nanopub/x/hasPublicKey
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https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/sig
http://purl.org/nanopub/x/hasSignature
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https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/sig
http://purl.org/nanopub/x/hasSignatureTarget
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s
https://w3id.org/np/RAfMYz2F87ZqYUW8nKh3MD7xnvM2UFLgfXRzdPhl4S_4s/sig
http://purl.org/nanopub/x/signedBy
https://orcid.org/0009-0007-4948-9192