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Question: One of the first applications of a DOL-system was to simulate the development of a fragment of a multicellular filament such as that found in the blue-green bacteria Anabena catenula and various algae. The symbols a and b can be used to represent the cytological states of the cells, i.e., their size and readiness to divide. Subscripts l and r will be used to indicate cell polarity, specifying the positions in which daughter cells of type a and b will be produced. The development is described by the following L-system:
ω: ar
p1: ar → albr
p2: al → blar
p3: br → ar
p4: bl → al
Implement a DOL-system to simulate the development of Anabaena catenula, and list the sequence of words obtained in the first 10 generations. Knowing that under the microscope the filaments appear as a sequence of cylinders of various lengths, with e-type cells longer than b-type cells, draw a schematic image of filament development according to the result obtained with the DOL-system implemented. Hint: you can indicate the polarity of a cell with an arrow. For instance, an l polarity is indicated by a left arrow, and an r polarity is indicated by a right arrow.
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