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WHEN IS THE MODIFIED VON KOCH SNOWFLAKE NON-SELF-INTERSECTING?

TAMÁS KELETI

Department of Analysis, Eötvös Loránd University, Pázmány Péter sétány 1/C, H-1117 Budapest, Hungary

https://doi.org/10.1142/S0218348X06003234Cited by:5 (Source: Crossref)

Abstract

We prove that the modified von Koch snowflake curve, which we get as a limit by starting from an equilateral triangle (or from a segment) and repeatedly replacing the middle portion c of each interval by the other two sides of an equilateral triangle (and the corresponding von Koch snowflake domain), is non-self-intersecting if and only if c < ½. This answers a question of M. van den Berg.

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References

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