Abstract
Syntactic models for generating the approximating polygon
patterns of space-filling curves such as the well-known Peano and Hilbert
curves have been studied in the recent past. Here we consider the polygon
patterns of another space-filling curve, namely, Sierpinski square snowflake ´
curve. For generating array representations of these patterns, we introduce
a variant of a fairly recent and novel computing model, known as P system
in the membrane computing field. We then develop a finite set of joining rules which on application, join the primitive patterns in the arrays,
thereby yielding the polygon patterns of the Sierpinski square snowflake ´
curve.
P.S. Azeezun Nisha, S. Hemalatha, S. Sriram, K.G. Subramanian. (2020) P Systems for Patterns of Sierpinski ´ Square Snowflake Curve, Punjab University Journal of Mathematics, Volume 52 , Issue-11.
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