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math.DS2026
On the geometry of generalised Koch snowflakes
Sven van Golden, Sabrina Kombrink, Tony Samuel
We consider the geometry of a class of fractal sets in that generalise the famous Koch curve and Koch snowflake. While the classical Koch curve is defined by an it…
math.DS2024
Dimensions of infinitely generated self-affine sets and restricted digit sets for signed Lüroth expansions
S. van Golden, C. Kalle, S. Kombrink +1
For countably infinite IFSs on consisting of affine contractions with diagonal linear parts, we give conditions under which the affinity dimension is an upper bound f…