Spirals: From Theodorus to Chaos
E1002058
Spirals: From Theodorus to Chaos is a mathematical book by Philip J. Davis that explores the geometry, history, and applications of spiral forms from ancient constructions to modern chaos theory.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Spirals: From Theodorus to Chaos canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T12797618 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Spirals: From Theodorus to Chaos Context triple: [Philip J. Davis, notableWork, Spirals: From Theodorus to Chaos]
-
A.
On Spirals
On Spirals is a mathematical treatise by Archimedes in which he systematically studies the properties and applications of spiral curves, especially the Archimedean spiral.
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B.
Nature’s Numbers
Nature’s Numbers is a popular science book by mathematician Ian Stewart that explores how mathematical patterns and principles underlie structures and phenomena in the natural world.
-
C.
Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace
Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace is a popular science book by Leonard Mlodinow that traces the historical development of geometry from ancient Greece to modern theories of spacetime and higher dimensions.
-
D.
Ulam spiral
The Ulam spiral is a graphical arrangement of the positive integers in a spiral pattern that reveals striking diagonal alignments of prime numbers, suggesting unexpected structure in their distribution.
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E.
Mysterious Patterns: Finding Fractals in Nature
"Mysterious Patterns: Finding Fractals in Nature" is a popular science book that introduces readers, especially younger audiences, to the concept of fractals through examples and patterns found in the natural world.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Spirals: From Theodorus to Chaos Target entity description: Spirals: From Theodorus to Chaos is a mathematical book by Philip J. Davis that explores the geometry, history, and applications of spiral forms from ancient constructions to modern chaos theory.
-
A.
On Spirals
On Spirals is a mathematical treatise by Archimedes in which he systematically studies the properties and applications of spiral curves, especially the Archimedean spiral.
-
B.
Nature’s Numbers
Nature’s Numbers is a popular science book by mathematician Ian Stewart that explores how mathematical patterns and principles underlie structures and phenomena in the natural world.
-
C.
Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace
Euclid's Window: The Story of Geometry from Parallel Lines to Hyperspace is a popular science book by Leonard Mlodinow that traces the historical development of geometry from ancient Greece to modern theories of spacetime and higher dimensions.
-
D.
Ulam spiral
The Ulam spiral is a graphical arrangement of the positive integers in a spiral pattern that reveals striking diagonal alignments of prime numbers, suggesting unexpected structure in their distribution.
-
E.
Mysterious Patterns: Finding Fractals in Nature
"Mysterious Patterns: Finding Fractals in Nature" is a popular science book that introduces readers, especially younger audiences, to the concept of fractals through examples and patterns found in the natural world.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics book ⓘ non-fiction book ⓘ |
| about |
Theodorus of Cyrene
ⓘ
chaotic behavior in mathematical systems ⓘ mathematical aesthetics ⓘ visual patterns in mathematics ⓘ |
| author | Philip J. Davis ⓘ |
| coversPeriodFrom | ancient Greek mathematics ⓘ |
| coversPeriodTo | modern chaos theory ⓘ |
| discusses |
Archimedean spiral
ⓘ
linked to:
Archimedes' spiral
Theodorus spiral ⓘ applications of spirals ⓘ logarithmic spiral ⓘ natural spirals ⓘ spirals in art ⓘ spirals in nature ⓘ |
| explores |
connections between spirals and chaos
ⓘ
dynamical systems ⓘ geometric constructions of spirals ⓘ historical development of spiral concepts ⓘ mathematical patterns ⓘ |
| focusesOn | spiral forms ⓘ |
| genre |
history of mathematics
ⓘ
mathematics ⓘ |
| hasForm | print ⓘ |
| hasPart |
applications to chaos theory
ⓘ
geometric analysis ⓘ historical narrative ⓘ |
| hasTheme |
interplay between order and chaos
ⓘ
role of geometry in understanding nature ⓘ unity of mathematics across history ⓘ |
| language | English ⓘ |
| mainSubject |
chaos theory
ⓘ
geometry ⓘ history of geometry ⓘ mathematical visualization ⓘ spirals ⓘ |
| targetAudience |
mathematically inclined general readers
ⓘ
readers interested in history of science ⓘ students of mathematics ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Spirals: From Theodorus to Chaos Description of subject: Spirals: From Theodorus to Chaos is a mathematical book by Philip J. Davis that explores the geometry, history, and applications of spiral forms from ancient constructions to modern chaos theory.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.