On a continuous curve without tangents, constructible from elementary geometry
E1435906
UNEXPLORED
"On a continuous curve without tangents, constructible from elementary geometry" is the 1904 paper by Swedish mathematician Helge von Koch in which he introduced the now-famous Koch snowflake, one of the earliest and most iconic examples of a fractal curve.
All labels observed (1)
| Label | Occurrences |
|---|---|
| On a continuous curve without tangents, constructible from elementary geometry canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T20523458 — 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: On a continuous curve without tangents, constructible from elementary geometry Context triple: [Helge von Koch, hasWork, On a continuous curve without tangents, constructible from elementary geometry]
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A.
Jordan curve theorem
The Jordan curve theorem is a fundamental result in topology stating that any simple closed curve in the plane divides the plane into exactly two distinct regions, an "inside" and an "outside."
-
B.
On the Art of Measurement with the Compass and Ruler
"On the Art of Measurement with the Compass and Ruler" is a foundational Renaissance treatise by Albrecht Dürer that systematizes the use of geometry and proportion in artistic design and representation.
-
C.
Random Curves
Random Curves is a mathematics book by Neal Koblitz that explores probabilistic and heuristic methods in number theory and algebraic geometry, particularly in relation to elliptic curves and cryptographic applications.
-
D.
Frey curve construction
The Frey curve construction is a method in number theory that associates an elliptic curve to a putative solution of Fermat’s Last Theorem, playing a key role in the proof by linking the theorem to modularity.
-
E.
Peano curve
The Peano curve is a space-filling fractal curve that continuously maps a one-dimensional interval onto a two-dimensional area, demonstrating that a line can completely fill a square.
- 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: On a continuous curve without tangents, constructible from elementary geometry Target entity description: "On a continuous curve without tangents, constructible from elementary geometry" is the 1904 paper by Swedish mathematician Helge von Koch in which he introduced the now-famous Koch snowflake, one of the earliest and most iconic examples of a fractal curve.
-
A.
Jordan curve theorem
The Jordan curve theorem is a fundamental result in topology stating that any simple closed curve in the plane divides the plane into exactly two distinct regions, an "inside" and an "outside."
-
B.
On the Art of Measurement with the Compass and Ruler
"On the Art of Measurement with the Compass and Ruler" is a foundational Renaissance treatise by Albrecht Dürer that systematizes the use of geometry and proportion in artistic design and representation.
-
C.
Random Curves
Random Curves is a mathematics book by Neal Koblitz that explores probabilistic and heuristic methods in number theory and algebraic geometry, particularly in relation to elliptic curves and cryptographic applications.
-
D.
Frey curve construction
The Frey curve construction is a method in number theory that associates an elliptic curve to a putative solution of Fermat’s Last Theorem, playing a key role in the proof by linking the theorem to modularity.
-
E.
Peano curve
The Peano curve is a space-filling fractal curve that continuously maps a one-dimensional interval onto a two-dimensional area, demonstrating that a line can completely fill a square.
- F. None of above. chosen
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.
Helge von Koch
→
hasWork
→
On a continuous curve without tangents, constructible from elementary geometry
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