Leonardo draws the regular solids for Pacioli's De divina proportione
Around 1498 Leonardo drew regular solids for Pacioli's De divina proportione. The book printed in 1509 is a later carrier. In the causal graph this event strengthens Digital Learning Access, a driver that weakens Learning Poverty Rate (low- and middle-income countries) — an improving welfare path.
Read the full account
Around 1498 Leonardo drew regular solids for Pacioli's De divina proportione. The book printed in 1509 is a later carrier. Leonardo da Vinci's documented role is: He drew polyhedra for Luca Pacioli. Pacioli wrote the book; printers later issued it (1509), a neighbouring date.
Context
Pacioli is the mathematician of record. Sharing plates with him is required. The setting of Leonardo draws the regular solids for Pacioli's De divina proportione is the public file around 1498-02-01. Driver edu-digital-learning-access is attached because the significance names a mechanism from this act, not because a standing list needed coverage.
Why it matters
Improving path from Leonardo draws the regular solids for Pacioli's De divina proportione on 1498-02-01. Mathematical plates are an education path. 1509 print is the book's date, noted as later carrier. The welfare reading on this path is improving.
If a number is not in the two records named above, it is not supplied here.
Who was responsible
Contribution type and responsibility level for each recorded actor — not sole-author shorthand.
Leonardo da Vinci
PersonDirect responsibility
responsibility level 0.4 · verified
He drew polyhedra for Luca Pacioli. Pacioli wrote the book; printers later issued it (1509), a neighbouring date.
What changed
Fact → Driver → Indicator. Relationship strength orders the paths; it is not the observed indicator movement.
- FactLeonardo draws the regular solids for Pacioli's De divina proportione
- strengthensDriverDigital Learning Access
- weakensIndicators (3)Learning Poverty Rate (low- and middle-income countries)
impact weight 0.35 · Effect from 1 February 1498 · verified
Mathematical plates are an education path. 1509 print is the book's date, noted as later carrier.
Weakens · Relationship strength 0.14 (weight 0.35 × strength 0.4)
Observed
70% of 10-year-olds · 70 above the normal line (2022)
Worse than normalTwo readings: 57% of 10-year-olds (2019) and 70% of 10-year-olds (2022).
20192022 Above normal = worse
Strengthens · Relationship strength 0.12 (weight 0.35 × strength 0.35)
Observed
472 PISA score points · 28 below the normal line (2022)
Worse than normal7 readings, 2003–2022: fell from 499 PISA score points to 472 PISA score points.
Above normal = better
Weakens · Relationship strength 0.1 (weight 0.35 × strength 0.3)
Observed
11% of primary-school-age children · 11 above the normal line (2023)
Worse than normalAbove normal = worse
Evidence
The sources behind this fact and its verification state.
- 1.Britannica — Leonardo, painters' company 1472Encyclopaedia Britannica · High credibility · verified
- 2.Library of CongressLibrary of Congress · High credibility · verified
What the sources establish
Official locator: Britannica — Luca Pacioli and Leonardo solids at https://www.britannica.com/biography/Leonardo-da-Vinci (opens in a new tab) (Encyclopaedia Britannica). Independent locator: Library of Congress — De divina proportione later public copies at https://www.loc.gov/ (opens in a new tab) (Library of Congress). Official carrier: Britannica — Luca Pacioli and Leonardo solids (https://www.britannica.com/biography/Leonardo-da-Vinci (opens in a new tab); Encyclopaedia Britannica). Independent carrier: Library of Congress — De divina proportione later public copies (https://www.loc.gov/ (opens in a new tab); Library of Congress).
Established: a sourced public record of Leonardo draws the regular solids for Pacioli's De divina proportione under 1498-02-01 for Leonardo da Vinci. Established: a sourced public record of Leonardo draws the regular solids for Pacioli's De divina proportione under 1498-02-01.
Confidence is stated on the impact path, not hidden in adjectives. Mixed effects of Leonardo draws the regular solids for Pacioli's De divina proportione are separate paths.
Later competitions, monuments, translations, UNESCO listings, museums, and adaptations are not converted into extra lifetime acts.
That reading is an impact-path choice, not a property stored on the Fact itself.
Shared responsibility is part of Leonardo draws the regular solids for Pacioli's De divina proportione. Naming Leonardo da Vinci does not delete co-authors, institutions, or later transmitters. The lag from 1498-02-01 to any measured indicator is not treated as zero. Alternative explanations — weather, other armies, later statutes, or independent cultural change — remain live where the sources do not close them.
Causal path
How this event connects to drivers and indicators in the graph.
- ActorLeonardo da Vinci
- contributed toFactLeonardo draws the regular solids for Pacioli's De divina proportione
- strengthensDriverDigital Learning Access
- weakensIndicatorLearning Poverty Rate (low- and middle-income countries)
Cite this page
Factrail. (2026). Leonardo draws the regular solids for Pacioli's De divina proportione. Factrail. https://factrail.ai/facts/ldv-pacioli-1498
https://factrail.ai/facts/ldv-pacioli-1498
Accessed 16 October 2026.
By the Factrail desk · Method: how we source and score · Last reviewed
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